curso de matemática para concurso

Aula 00

Curso Regular de Matemaacutetica - Com Videoaulas

Professores Arthur Lima Hugo Lima

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CURSO REGULAR DE MATEMAacuteTICA TEORIA E EXERCIacuteCIOS COMENTADOS

Prof Arthur Lima ʹ Aula 00

Prof Arthur Lima wwwestrategiaconcursoscombr 1

AULA 00 (demonstrativa)

SUMAacuteRIO PAacuteGINA

1 Apresentaccedilatildeo 01

2 Cronograma do curso 04

3 Resoluccedilatildeo de questotildees 06

4 Questotildees apresentadas na aula 55

5 Gabarito 73

1 APRESENTACcedilAtildeO

Seja bem-vindo a este CURSO REGULAR DE MATEMAacuteTICA

desenvolvido para auxiliar na sua preparaccedilatildeo para concursos em que essa

mateacuteria eacute normalmente exigida

Aleacutem de vermos todo o conteuacutedo teoacuterico resolveremos juntos

cerca de 1000 a 1200 exerciacutecios das bancas mais tradicionais (FCC

ESAF CESPE FGV CESGRANRIO CEPERJ VUNESP etc) e tambeacutem de

outras bancas de menor porte cujas questotildees sejam interessantes para o

seu aprendizado (FUNDATEC IDECAN FUNIVERSA CONSULPLAN etc)

Neste material vocecirc teraacute

- curso completo em viacutedeo formado por cerca de 25 horas de

gravaccedilotildees onde explico todos os toacutepicos mais exigidos em concursos e

resolvo alguns exerciacutecios para vocecirc comeccedilar a se familiarizar com os

temas

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- curso escrito completo (em PDF) formado por 10 aulas onde

tambeacutem explico todo o conteuacutedo exigido em concursos aleacutem de

apresentar cerca de 1000 a 1200 questotildees resolvidas e comentadas

sobre todos os assuntos trabalhados

- foacuterum de duacutevidas onde vocecirc pode entrar em contato direto conosco

Vale dizer que este curso eacute concebido para ser o seu uacutenico

material de estudos isto eacute vocecirc natildeo precisaraacute adquirir livros ou outros

materiais para tratar da minha disciplina A ideia eacute que vocecirc consiga

economizar bastante tempo pois abordaremos todos os toacutepicos

geralmente exigidos na disciplina Matemaacutetica nos melhores concursos e

nada aleacutem disso e vocecirc poderaacute estudar conforme a sua disponibilidade

de tempo em qualquer ambiente onde vocecirc tenha acesso a um

computador tablet ou celular e evitaraacute a perda de tempo gerada

pelo tracircnsito das grandes cidades Isso eacute importante para todos os

candidatos mas eacute especialmente relevante para aqueles que

trabalham e estudam como era o meu caso quando estudei para a

Receita Federal

Vocecirc nunca estudou as minhas disciplinas para concursos

puacuteblicos Natildeo tem problema este curso tambeacutem te atende Isto porque

vocecirc estaraacute adquirindo um material bastante completo onde vocecirc poderaacute

trabalhar cada assunto em viacutedeos e tambeacutem em aulas escritas e resolver

uma grande quantidade de exerciacutecios sempre podendo consultar as

minhas resoluccedilotildees e tirar duacutevidas atraveacutes do foacuterum Assim eacute

plenamente possiacutevel que mesmo sem ter estudado este conteuacutedo

anteriormente vocecirc consiga um oacutetimo desempenho na sua prova

Obviamente se vocecirc se encontra nesta situaccedilatildeo seraacute preciso investir um

tempo maior dedicar-se bastante ao conteuacutedo do nosso curso

O fato do curso ser formado por viacutedeos e PDFs tem mais uma

vantagem isto permite que vocecirc vaacute alternando entre essas duas

formas de estudo tornando um pouco mais agradaacutevel essa dura

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jornada de preparaccedilatildeo Quando vocecirc estiver cansado de ler mas ainda

quiser continuar estudando eacute simples assista algumas aulas em viacutedeo

Ou resolva uma bateria de questotildees

Sou Engenheiro Aeronaacuteutico pelo Instituto Tecnoloacutegico de

Aeronaacuteutica (ITA) Trabalhei por 5 anos no mercado de aviaccedilatildeo sendo

que no periacuteodo final tive que conciliar com o estudo para o concurso da

Receita Federal Fui aprovado para os cargos de Auditor-Fiscal e Analista-

Tributaacuterio Sou professor aqui no Estrateacutegia Concursos desde o primeiro

ano do site (2011) e tive o privileacutegio de realizar mais de 300 cursos

online ateacute o momento o que me permitiu ganhar bastante familiaridade

com o seu estilo e verificar na praacutetica a sua efetividade Neste periacuteodo vi

vaacuterios de nossos alunos sendo aprovados nos cargos que almejavam

Aqui no Estrateacutegia noacutes sempre solicitamos que os alunos avaliem os

nossos cursos Procuro sempre acompanhar as criacuteticas para estar sempre

aperfeiccediloando os materiais Felizmente venho conseguindo obter iacutendices

de aprovaccedilatildeo bastante elevados ndash acima de 95 muitas vezes chegando

a 100 Espero que vocecirc tambeacutem aprove o nosso material

Quer tirar alguma duacutevida antes de adquirir o curso Deixo abaixo

meus contatos

E-mail ProfessorArthurLimahotmailcom

Facebook wwwfacebookcomProfArthurLima

Ah e natildeo deixe de me seguir no aplicativo Periscope onde

transmito viacutedeos gratuitos ao vivo com dicas adicionais para seu estudo

wwwperiscopetvarthurrrl ou simplesmente busque ARTHURRRL no

aplicativo

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2 CRONOGRAMA DO CURSO

Segue abaixo o cronograma do nosso curso Ele foi preparado apoacutes

minunciosa anaacutelise de diversos editais de Matemaacutetica para concursos

recentes de forma a abordar tudo aquilo que vem sendo cobrado com

maior frequecircncia e mesmo alguns toacutepicos cobrados menos vezes

Pretendo deixaacute-lo com um material que permita enfrentar a grande

maioria dos concursos

Data Aula

0103 Aula 00 ndash demonstrativa

1503 Aula 01 - Fundamentos de matemaacutetica (nuacutemeros inteiros

racionais e reais principais operaccedilotildees nuacutemeros primos

fatoraccedilatildeo potecircncias raiacutezes porcentagem fraccedilotildees muacuteltiplos

divisores expressotildees numeacutericas etc)

0104 Aula 02 - Proporcionalidade (regra de trecircs simples

proporcionalidade direta e inversa divisatildeo proporcional escalas

etc)

1504 Aula 03 - Aacutelgebra (equaccedilotildees e inequaccedilotildees de primeiro e segundo

grau sistemas de equaccedilotildees matrizes e determinantes)

0105 Aula 04 - Aacutelgebra (funccedilotildees de primeiro e segundo grau

polinocircmios funccedilotildees logariacutetmica e exponencial etc)

1505 Aula 05 - Geometria e Trigonometria (acircngulos geometria plana

geometria espacial caacutelculo de aacutereas e volumes unidades de

medida triacircngulo retacircngulo semelhanccedila de triacircngulos etc)

0106 Aula 06 - Outros toacutepicos eventualmente cobrados em concursos

operaccedilotildees com conjuntos progressatildeo aritmeacutetica progressatildeo

geomeacutetrica nuacutemeros complexos PRINCIacutePIO da regressatildeo ou

reversatildeo razotildees especiais simetria etc

1506 Aula 07 - CONTINUACcedilAtildeO da aula anterior (toacutepicos eventualmente

cobrados)

0107 Aula 08 - Princiacutepios de contagem (princiacutepios aditivo e

multiplicativo arranjos permutaccedilotildees e combinaccedilotildees)

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1507 Aula 09 ndash Noccedilotildees de probabilidade

3107 Aula 10 ndash Resumo teoacuterico

Os viacutedeos abordaratildeo todos os temas mais importantes

conjuntos numeacutericos porcentagem proporccedilotildees equaccedilotildees

inequaccedilotildees funccedilotildees geometria progressotildees aritmeacutetica e

geomeacutetrica contagem e probabilidade operaccedilotildees com conjuntos

trigonometria etc

Sem mais vamos a uma demonstraccedilatildeo do curso

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3 RESOLUCcedilAtildeO DE QUESTOtildeES DE MATEMAacuteTICA

Nesta primeira aula vamos resolver juntos uma bateria de questotildees

de Matemaacutetica Satildeo questotildees das principais bancas selecionadas para te

dar uma ideia geral do que vocecirc iraacute aprender no nosso curso Eacute natural

que vocecirc sinta alguma dificuldade em resolver as questotildees neste

momento afinal ainda natildeo passamos pelos toacutepicos teoacutericos

correspondentes Ao longo das aulas voltaremos a essas questotildees nos

momentos oportunos isto eacute apoacutes estudar a respectiva teoria Aproveite

esta aula para avaliar o niacutevel de cobranccedila esperado para a sua prova e

claro a minha forma de lecionar Vamos comeccedilar

1 CESGRANRIO ndash ANP ndash 2016) Um grande tanque estava vazio e foi

cheio de oacuteleo apoacutes receber todo o conteuacutedo de 12 tanques menores

idecircnticos e cheios

Se a capacidade de cada tanque menor fosse 50 maior do que a sua

capacidade original o grande tanque seria cheio sem excessos apoacutes

receber todo o conteuacutedo de

a) 4 tanques menores

b) 6 tanques menores

c) 7 tanques menores

d) 8 tanques menores

e) 10 tanques menores

RESOLUCcedilAtildeO

O grande tanque recebeu o conteuacutedo total de 12 tanques menores

originais Logo em termos de volume temos que

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tanque grande = 12 x tanques menor original

No entanto o enunciado propotildeem que os tanques menores originais

sejam substituiacutedos por tanques menores novos de capacidade 50

superior quando comparada agrave dos originais Assim

tanque menor novo = 150 x tanque menor original


tanque menor original = (tanque menor novo) divide 15

Vamos substituir a informaccedilatildeo acima na primeira relaccedilatildeo que

obtemos envolvendo o tanque grande

tanque grande = 12 x [(tanque menor novo) divide 15]

tanque grande = (12divide 15) x tanque menor novo

tanque grande = 8 x tanque menor novo

Se a capacidade de cada tanque menor fosse 50 maior do que a

sua capacidade original o grande tanque seria cheio sem excessos apoacutes

receber todo o conteuacutedo de 8 tanques menores

RESPOSTA D

2 PREFEITURA DO RIO DE JANEIRO ndash 2016) Em um seminaacuterio de

que participam X pessoas o nuacutemero de mulheres eacute igual ao quaacutedruplo do

nuacutemero de homens Se 128 lt X lt 134 a diferenccedila entre o nuacutemero de

mulheres e o nuacutemero de homens equivale a

a) 78

b) 76

c) 74

d) 72

RESOLUCcedilAtildeO

Seja M o nuacutemero de mulheres e H o nuacutemero de homens O total de

pessoas do seminaacuterio X eacute igual a soma de homens e mulheres X = M +

H

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Sabe-se tambeacutem que o nuacutemero de mulheres eacute igual ao quaacutedruplo

do nuacutemero de homens M=4H Assim X = M + H = 4H + H = 5H

Sabendo que X = 5H e que 128 lt X lt 134 temos que 128 lt 5H lt

134 Quais muacuteltiplos de 5 temos entre 128 e 134 Apenas um o nuacutemero

130 Todas as outras possibilidades entre 128 e 134 natildeo datildeo resultados

inteiros quando divididos por cima Como estamos falando de pessoas

somente nuacutemeros inteiros nos interessam Logo 5H = 130 o que nos

leva a H = 26

O enunciado nos pediu a diferenccedila entre o nuacutemero de mulheres e o

nuacutemero de homens ou seja

diferenccedila = M ndash H

diferenccedila = 4H ndash H = 3H

diferenccedila = 3 x 26 = 78

RESPOSTA A

3 CESGRANRIO ndash ANP ndash 2016) ldquoNo 45ordm Leilatildeo de Biodiesel da ANP

foram arrematados 6578 milhotildees de litros de biodiesel sendo 1000

deste volume oriundos de produtores detentores do selo Combustiacutevel

Social O preccedilo meacutedio foi de R$ 240 por litro () Um comprador que

adquiriu no 45ordm Leilatildeo de Biodiesel da ANP 10 da quantidade total de

litros arrematados nesse leilatildeo pagando o preccedilo meacutedio por litro gastou

em reais

(A) menos de 100 milhotildees

(B) entre 100 milhotildees e 400 milhotildees

(C) entre 400 milhotildees e 700 milhotildees

(D) entre 700 milhotildees e um bilhatildeo

(E) mais de um bilhatildeo

RESOLUCcedilAtildeO

Veja que 10 da quantidade total eacute 10 x 6578 milhotildees = 010 x

6578 milhotildees = 6578 milhotildees de litros Como o preccedilo do litro era de

240 reais entatildeo o valor pago eacute de 240 x 6578 milhotildees que eacute

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aproximadamente 24 x 65 = 24x6 + 24x05 = 144 + 12 = 166 milhotildees

de reais (resultado exato 157872 milhotildees)

RESPOSTA B

4 PREFEITURA DO RIO DE JANEIRO ndash 2016) Em um jantar 54

pessoas comeram frango ou peixe Eacute verdade que

middot a quantidade de pessoas que comeu frango eacute igual ao triplo da

quantidade de pessoas que comeu frango e peixe

middot 12 pessoas comeram peixe mas natildeo comeram frango

Assim o nuacutemero de pessoas que comeu frango e natildeo comeu peixe eacute igual

a

a) 14

b) 18

c) 22

d) 28

RESOLUCcedilAtildeO

Seja P o nuacutemero de pessoas que comeu apenas peixe F o nuacutemero

de pessoas que comeu apenas frango X o nuacutemero de pessoas que comeu

frango e peixe

A quantidade de pessoas que comeu frango (F+X visto que satildeo as

que comeram apenas frango somadas agraves que comeram frango e peixe) eacute

igual ao triplo da quantidade de pessoas que comeu frango e peixe ou

seja

F+X=3X

F=2X

12 pessoas comeram peixe mas natildeo comeram frango ou seja

P=12

Como 54 pessoas comeram frango ou peixe temos que

54=P+F+X

54=12+2X+X

X=14

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Isso nos leva a F = 2X =2 x14 = 28

RESPOSTA D

5 PREFEITURA DO RIO DE JANEIRO ndash 2016) Seja N a quantidade

maacutexima de nuacutemeros inteiros de quatro algarismos distintos maiores do

que 4000 que podem ser escritos utilizando-se apenas os algarismos 0

1 2 3 4 5 e 6 O valor de N eacute

a) 120

b) 240

c) 360

d) 480

RESOLUCcedilAtildeO

Queremos formar nuacutemeros de quatro algarismos distintos maiores

que 4000 Assim a primeira casa ou a casa dos milhares pode ser

ocupada por trecircs opccedilotildees 4 5 ou 6

Para a casa das centenas restam 6 opccedilotildees para a casa das dezenas

temos 5 opccedilotildees e para as unidades temos 4 opccedilotildees

Logo N = 3 x 6 x 5 x 4 = 360

RESPOSTA C

6 CESGRANRIO ndash ANP ndash 2016) Certo modelo de automoacutevel percorre

100 km com 81 litros de gasolina Outro modelo menos econocircmico

consome mais 003 litro de gasolina por quilocircmetro rodado

Aproximadamente quantos quilocircmetros em meacutedia o automoacutevel menos

econocircmico percorre com 1 litro de gasolina

(A) 90

(B) 84

(C) 82

(D) 80

(E) 78

RESOLUCcedilAtildeO

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O carro menos econocircmico gasta 003 litro a mais por quilocircmetro

portanto para rodar 100km ele gasta 100 x 003 = 3 litros a mais Isto eacute

como o mais econocircmico gasta 81 litros o menos econocircmico gasta 81 +

3 = 111 litros para percorrer 100km Para saber quanto ele anda com 1

litro de gasolina podemos escrever

111 litros ------- 100km

1 litro ------------ N km

111xN = 1x100

N = 100 111

N = 90 km

RESPOSTA A

7 PREFEITURA DO RIO DE JANEIRO ndash 2016) Ao perguntar para Joatildeo

qual era a sua idade atual recebi a seguinte resposta

- O quiacutentuplo da minha idade daqui a oito anos diminuiacuteda do quiacutentuplo da

minha idade haacute trecircs anos atraacutes representa a minha idade atual

A soma dos algarismos do nuacutemero que representa em anos a idade

atual de Joatildeo corresponde a

a) 6

b) 7

c) 10

d) 14

RESOLUCcedilAtildeO

Vamos chamar de X a idade atual de Joatildeo Identificaremos agora

cada componente da equaccedilatildeo para obter a idade de Joatildeo

ldquoquiacutentuplo da minha idade daqui a oito anosrdquo = 5(X+8)

ldquoquiacutentuplo da minha idade haacute trecircs anos atraacutesrdquo = 5(X-3)

Substituindo as componentes acima na frase de Joatildeo temos

5(X+8) ndash 5(X-3) =X

5X+40-5X+15=X

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X=55

Assim a soma dos algarismos do nuacutemero que representa em anos

a idade atual de Joatildeo corresponde a 5+5=10

RESPOSTA C

8 CESGRANRIO ndash ANP ndash 2016) Um caminhatildeo-tanque chega a um

posto de abastecimento com 36000 litros de gasolina em seu

reservatoacuterio Parte dessa gasolina eacute transferida para dois tanques de

armazenamento enchendo-os completamente Um desses tanques tem

125 m3 e o outro 153 m3 e estavam inicialmente vazios Apoacutes a

transferecircncia quantos litros de gasolina restaram no caminhatildeo-tanque

(A) 3572200

(B) 820000

(C) 357720

(D) 35772

(E) 33220

RESOLUCcedilAtildeO

Lembrando que 1m3 corresponde a 1000 litros podemos escrever

125m3 = 12500 litros

153m3 = 15300 litros

Assim enchendo os dois tanques sobram 36000 ndash 12500 ndash 15300

= 8200 litros

RESPOSTA B

9 INSTITUTO AOCP ndash CASAN - 2016) Um nuacutemero X somado agrave sua

quinta parte eacute igual a 90 Entatildeo X vale

a) 80

b) 100

c) 75

d) 25

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e) 108

RESOLUCcedilAtildeO

A quinta parte de um nuacutemero eacute o mesmo que aquele nuacutemero

dividido por cinco Podemos traduzir a frase do enunciado da seguinte

forma

905

XX

590

5 5

X X

690

5

X

75X

RESPOSTA C

10 CESGRANRIO ndash ANP ndash 2016) Um comerciante deseja colocar

algumas latas de refrigerante em n prateleiras Na primeira tentativa ele

pensou em colocar 14 latas em cada prateleira mas sobrariam 16 latas

O comerciante fez uma nova tentativa foi colocando 20 latas em cada

prateleira mas ao chegar na uacuteltima faltaram 8 latas para completar as

20 Quantas latas ele deveraacute colocar em cada prateleira para que todas

fiquem com a mesma quantidade de latas e natildeo sobre nenhuma lata

(A) 15

(B) 16

(C) 17

(D) 18

(E) 19

RESOLUCcedilAtildeO

Colocando 14 latas em cada uma das ldquonrdquo prateleiras sobram 16

latas Ou seja

Total de latas = 14n + 16

Colocando 20 latas por prateleira faltaram 8 para completar

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Total de latas = 20n ndash 8

Igualando os totais

14n + 16 = 20n ndash 8

16 + 8 = 20n ndash 14n

24 = 6n

n = 4 prateleiras

O total de latas eacute 14n + 16 = 144 + 16 = 72 latas Dividindo-as

nas 4 prateleiras igualmente temos 72 4 = 36 2 = 18 latas em cada

prateleira

RESPOSTA D

11 VUNESP ndash TJSP ndash 2015) Um determinado recipiente com 40 da

sua capacidade total preenchida com aacutegua tem massa de 428 g Quando

a aacutegua preenche 75 de sua capacidade total passa a ter massa de 610

g A massa desse recipiente quando totalmente vazio eacute igual em

gramas a

(A) 338

(B) 208

(C) 200

(D) 182

(E) 220

RESOLUCcedilAtildeO

Observe que de 40 da capacidade total para 75 desta mesma

capacidade total temos uma diferenccedila que corresponde a 75 - 40 =

35 da capacidade total Essa mesma diferenccedila corresponde a 610g -

428g = 182g Portanto podemos dizer que 35 por cento da capacidade

total corresponde a 182 gramas Com uma regra de trecircs simples

podemos calcular a quantos gramas corresponde a 40 por cento da

capacidade total

35 -------------- 182g

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40 --------------- P

35xP = 40x182

P = 40x182 35

P = 040x182 035

P = 208g

Portanto repare que 40 por cento da capacidade total corresponde

a 208 gramas de aacutegua Como nesta situaccedilatildeo a massa total (aacutegua +

massa do recipiente) eacute de 428 gramas podemos dizer que a massa do

recipiente eacute simplesmente 428 - 208 = 220g

RESPOSTA E

12 CESGRANRIO ndash ANP ndash 2016) Um voo direto do Rio de Janeiro a

Paris tem 11 horas e 5 minutos de duraccedilatildeo Existem outros voos com

escala cuja duraccedilatildeo eacute bem maior Por exemplo a duraccedilatildeo de certo voo

Rio-Paris com escala em Amsterdatilde eacute 40 maior do que a do voo direto

Qual eacute a duraccedilatildeo desse voo que faz escala em Amsterdatilde

(A) 15h 4 min

(B) 15h 15 min

(C) 15 h 24 min

(D) 15h 29 min

(E) 15 h 31 min

RESOLUCcedilAtildeO

Veja que 11h e 5 minutos corresponde a 11x60 + 5 = 660+5 = 665

minutos Para Amsterdatilde temos duraccedilatildeo 40 maior ou seja duraccedilatildeo de

660x(1+40) = 665x140 = 66x14 = 931 minutos Dividindo 931 por 60

encontramos o resultado 15 e o resto 31 o que nos indica que se trata de

15 horas e 31 minutos

RESPOSTA E

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13 VUNESP ndash TJSP ndash 2015) Na figura o trapeacutezio retacircngulo ABCD eacute

dividido por uma de suas diagonais em dois triacircngulos retacircngulos

isoacutesceles de lados AB = BC e AC = DC

Desse modo eacute correto afirmar que a soma das medidas dos acircngulos e

eacute igual a

(A) 125ordm

(B) 115ordm

(C) 110ordm

(D) 135ordm

(E) 130ordm

RESOLUCcedilAtildeO

No triacircngulo ABC veja que o acircngulo B eacute igual a 90 graus Veja

ainda que os acircngulos dos veacutertices C e A satildeo iguais (pois o triacircngulo eacute

isoacutesceles) de modo que ambos medem Como a soma dos acircngulos

internos do triacircngulo eacute 180ordm podemos dizer que

180 = 90 + +

180 ndash 90 = +

90 = 2

902 =

45ordm =

Temos o seguinte

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Observe que o acircngulo do veacutertice A eacute de 90ordm e eacute dividido em duas

partes pelo segmento AC uma parte mede 45ordm e a outra mede x Logo

x + 45 = 90

x = 90 ndash 45

x = 45ordm

Como o triacircngulo DCA tambeacutem eacute isoacutesceles o acircngulo do veacutertice D

tambeacutem tem essa mesma medida isto eacute 45ordm A soma dos acircngulos

internos do triacircngulo DCA eacute de 180ordm (como todo triacircngulo) de modo que

180 = 45 + 45 +

180 = 90 +

180 ndash 90 =

90ordm =

Portanto a soma eacute

+ = 90 + 45 = 135ordm

RESPOSTA D

14 CESGRANRIO ndash ANP ndash 2016) Semanalmente o gerente de um

restaurante que funciona todos os dias escolhe por sorteio dois dias da

semana nos quais oferece aos clientes descontos especiais A

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probabilidade de que no sorteio de determinada semana apenas um dos

dias sorteados pertenccedila ao final de semana (saacutebado ou domingo) eacute de

(A) 2

7

(B) 5

21

(C) 10

21

(D) 2

49

(E) 10

49

RESOLUCcedilAtildeO

A probabilidade de o primeiro dia sorteado ser no final de semana eacute

de 2 em 7 ou 27 A probabilidade de o segundo NAtildeO ser no final de

semana eacute de 5 dentre os 6 dias restantes ou 56 Neste caso a

probabilidade de o primeiro ser no final de semana e o segundo natildeo ser eacute

de 27 x 56 = 17 x 53 = 521

A probabilidade de o primeiro dia NAtildeO ser no final de semana eacute de

57 e do segundo ser no final de semana eacute de 2 dentre os 6 restantes ou

26 de modo que neste caso a probabilidade de o primeiro natildeo ser no

final de semana e o segundo ser eacute de 57 x 26 = 57 x 13 = 521

Somando essas duas situaccedilotildees que satildeo mutuamente excludentes

temos 521 + 521 = 1021 de chance de atender a condiccedilatildeo do

enunciado

Outra forma de resolver

combinaccedilotildees de 2 dias dentre os 5 da semana = C(52) = 5x42 = 10

combinaccedilotildees de 2 dias dentre os 2 do final de semana = C(22) = 1

combinaccedilatildeo dos 7 dias 2 a 2 = C(72) = 7x62 = 21

00000000000

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Assim o nuacutemero de casos onde apenas um dia eacute no final de

semana eacute de 21 ndash 10 ndash 1 = 10 em um total de 21 casos o que nos daacute a

probabilidade de 1021

RESPOSTA C

15 VUNESP ndash TJSP ndash 2015) Dois recipientes (sem tampa) colocados

lado a lado satildeo usados para captar aacutegua da chuva O recipiente A tem o

formato de um bloco retangular com 2 m de comprimento e 80 cm de

largura e o recipiente B tem a forma de um cubo de 1 m de aresta Apoacutes

uma chuva cuja precipitaccedilatildeo foi uniforme e constante constatou-se que

a altura do niacutevel da aacutegua no recipiente B tinha aumentado 25 cm sem

transbordar Desse modo pode-se concluir que a aacutegua captada pelo

recipiente A nessa chuva teve volume aproximado em m3 de

(A) 040

(B) 036

(C) 032

(D) 030

(E) 028

RESPOSTA

Da mesma forma que a altura da coluna de aacutegua no recipiente B foi

de 25 centiacutemetros essa tambeacutem deve ter sido a altura da coluna de

aacutegua no recipiente A afinal foi dito que a chuva caiu uniformemente em

toda a aacuterea A aacuterea da base do recipiente A eacute 2m x 080m = 160m2

Como a altura da aacutegua eacute 025m o volume total de aacutegua neste recipiente

eacute 160x025 = 040m3

RESPOSTA A

16 CESGRANRIO ndash ANP ndash 2016) Uma determinada soluccedilatildeo eacute a

mistura de 3 substacircncias representadas pelas letras P Q e R Uma certa

quantidade dessa soluccedilatildeo foi produzida e sua massa eacute igual agrave soma das

massas das trecircs substacircncias P Q e R usadas para compocirc-la As massas

das substacircncias P Q e R dividem a massa da soluccedilatildeo em partes

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diretamente proporcionais a 3 5 e 7 respectivamente A que fraccedilatildeo da

massa da soluccedilatildeo produzida corresponde a soma das massas das

substacircncias P e Q utilizadas na produccedilatildeo

(A) 1

2

(B) 2

3

(C) 12

35

(D) 8

15

(E) 10

21

RESOLUCcedilAtildeO

As massas das substacircncias P Q e R dividem a massa da soluccedilatildeo em

partes diretamente proporcionais a 3 5 e 7 respectivamente ou seja

P3 = Q5 = R7

Assim

P3 = R7

P = 3R7

Q5 = R7

Q = 5R7

A massa total eacute

Total = P + Q + R = 3R7 + 5R7 + R = 8R7 + 7R7 = 15R7

A soma das massas de P e Q eacute

P + Q = 3R7 + 5R7 = 8R7

A fraccedilatildeo da massa da soluccedilatildeo produzida que corresponde a soma

das massas das substacircncias P e Q eacute

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Fraccedilatildeo = Massa de P e Q Total

Fraccedilatildeo = (8R7) (15R7)

Fraccedilatildeo = (8R) (15R)

Fraccedilatildeo = (8) (15)

Fraccedilatildeo = 8 15

RESPOSTA D

17 FGV ndash BANCO DO NORDESTE ndash 2014) Francisco natildeo tinha

herdeiros diretos e assim no ano de 2003 no dia do seu aniversaacuterio fez

seu testamento Nesse testamento declarava que o saldo total da

caderneta de poupanccedila que possuiacutea deveria ser dividido entre seus trecircs

sobrinhos em partes proporcionais agraves idades que tivessem no dia de sua

morte No dia em que estava redigindo o testamento seus sobrinhos

tinham 12 18 e 20 anos Francisco morreu em 2013 curiosamente no

dia do seu aniversaacuterio e nesse dia sua caderneta de poupanccedila tinha

exatamente R$ 30000000 Feita a divisatildeo de acordo com o testamento

o sobrinho mais jovem recebeu

(A) R$ 7200000

(B) R$ 8250000

(C) R$ 9400000

(D) R$ 11250000

(E) R$ 12000000

RESOLUCcedilAtildeO

A idade de cada sobrinho em 2013 era 22 28 30 A quantia

herdada pelo mais jovem pode ser obtida assim

Total distribuiacutedo ---------- Soma das idades

Valor do mais jovem---- idade do mais jovem

300000 ------------- 22 + 28 + 30

Valor ------------ 22

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300000 x 22 = Valor x 80

Valor = 82500 reais

RESPOSTA B

18 VUNESP ndash TJSP ndash 2015) Para a montagem de molduras trecircs

barras de alumiacutenio deveratildeo ser cortadas em pedaccedilos de comprimento

igual sendo este o maior possiacutevel de modo que natildeo reste nenhum

pedaccedilo nas barras Se as barras medem 15 m 24 m e 3 m entatildeo o

nuacutemero maacuteximo de molduras quadradas que podem ser montadas com os

pedaccedilos obtidos eacute

(A) 3

(B) 6

(C) 4

(D) 5

(E) 7

RESOLUCcedilAtildeO

Devemos encontrar um tamanho de barra que seja divisor de

15m 24m e 3m Para isso eacute mais interessante trabalharmos com

decimetros ficando com 15dm 24dm e 30dm respectivamente O maior

divisor comum entre esses trecircs nuacutemeros eacute 3 ou seja 3dm Portanto

esse eacute o maior comprimento possiacutevel para cada uma das barras A

quantidade de barras que vamos conseguir eacute dada pela divisatildeo dos

comprimentos de cada uma das barras originais (15dm 24dm e 30dm)

pelo comprimento das barras menores (3dm) Respectivamente teremos

5 8 e 10 barras menores totalizando 23 barras menores Para formar

cada moldura quadrada devemos utilizar 4 dessas 23 barras menores A

partir de 23 barras menores conseguimos formar 5 conjuntos com quatro

barras menores isto eacute 5 molduras sobrando exatamente trecircs barras

menores

RESPOSTA D

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19 VUNESP ndash TJSP ndash 2015) Para fazer 200 unidades do produto P

uma empresa Utilizou 34 do estoque inicial (E) do insumo Q Para fazer

mais 300 unidades do produto P vai utilizar a quantidade que restou do

insumo Q e comprar a quantidade adicional necessaacuteria para a produccedilatildeo

das 300 unidades de modo que o estoque do insumo Q seja zerado apoacutes

a produccedilatildeo desse lote Nessas condiccedilotildees deveraacute ser comprada do

insumo Q uma quantidade que corresponde do estoque inicial E a

(A) 23

(B) 78

(C) 14

(D) 38

(E) 98

RESOLUCcedilAtildeO

Podemos escrever a seguinte regra de trecircs para saber a quantidade

do estoque E que precisa ser utilizada para produzir 300 unidades

200 unidades ------------ 3E4

300 unidades ------------ N

200N = 300x3E4

2N = 3x3E4

2N = 9E4

N = 9E8

Portanto precisamos de 98 do estoque para produzir as 300

unidades Apoacutes produzir as primeiras 200 gastamos 3E4 sobrando E ndash

3E4 = E4 Assim para conseguirmos 9E8 (quantidade necessaacuteria para

produzir as 300 peccedilas) a quantidade que precisa ser adquirida do insumo

eacute

Quantidade adquirida = 9E8 ndash E4

Quantidade adquirida = 9E8 ndash 2E8

Quantidade adquirida = 7E8

RESPOSTA B

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20 VUNESP ndash TJSP ndash 2015) Em um laboratoacuterio haacute 40 frascos

contendo amostras de drogas distintas Esses frascos estatildeo numerados de

01 a 40 sendo que os frascos de numeraccedilatildeo par estatildeo posicionados na

prateleira Q e os de numeraccedilatildeo iacutempar estatildeo posicionados na prateleira R

Sabe-se que o volume em cm3 de cada amostra eacute igual agrave soma dos

algarismos do nuacutemero de cada frasco Nessas condiccedilotildees eacute correto afirmar

que a quantidade de frascos cujas amostras tecircm mais de 8 cm3 eacute

(A) maior na prateleira R do que na Q

(B) maior na prateleira Q do que na R

(C) igual em ambas as prateleiras

(D) igual a 8

(E) maior que 13

RESOLUCcedilAtildeO

Os frascos cuja soma dos algarismos eacute maior que 8 (e portanto

possuem mais de 8cm3) satildeo os de nuacutemero

- 9 18 19 27 28 29 36 37 38 39

Veja que se trata de um total de 10 frascos sendo que apenas 4

satildeo pares (sendo guardados na prateleira Q) e os outors 6 satildeo iacutempares

(prateleira R) Logo a prateleira R fica com mais frascos com mais de

8cm3

RESPOSTA A

21 VUNESP ndash TJSP ndash 2015) Em um jardim um canteiro de flores

formado por trecircs retacircngulos congruentes foi dividido em cinco regiotildees

pelo segmento AB conforme mostra a figura

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Se AB mede 20 m entatildeo a aacuterea total desse canteiro eacute em m2 igual a

(A) 126

(B) 135

(C) 144

(D) 162

(E) 153

RESOLUCcedilAtildeO

Como AB = 20 podemos dividi-lo em 2 segmentos iguais de

medida igual a 10

Observe na figura um triacircngulo retacircngulo com hipotenusa igual a 10

e catetos medindo 6 e X Podemos obter X com o teorema de pitaacutegoras

Hipotenusa2 = (Cateto1)2 + (Cateto2)2

102 = 62 + X2

100 = 36 + X2

64 = X2

8 = X

Logo a aacuterea do triacircngulo eacute

10

10

X

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Aacuterea = base x altura 2 = 6 x 8 2 = 24m2

Repare que a figura completa eacute formada por 6 triacircngulos iguais a

este Logo a aacuterea total eacute 6 x 24m2 = 144m2

RESPOSTA C

22 VUNESP ndash TJSP ndash 2015) Observe a sequecircncia de espaccedilos

identificados por letras

Cada espaccedilo vazio deveraacute ser preenchido por um nuacutemero inteiro e

positivo de modo que a soma dos nuacutemeros de trecircs espaccedilos consecutivos

seja sempre igual a 15 Nessas condiccedilotildees no espaccedilo identificado pela

letra g deveraacute ser escrito o nuacutemero

(A) 5

(B) 6

(C) 4

(D) 7

(E) 3

RESOLUCcedilAtildeO

Observe que a soma dos algarismos sobre as letras B e C deve ser

igual a 9 pois somados ao 6 que estaacute sobre a letra A temos 6+9 = 15

Como a soma dos nuacutemeros sobre B C e D deve ser tambeacutem igual a 15

note que o nuacutemero sobre a letra D deve ser tambeacutem igual a 6 Isto

porque a soma dos nuacutemeros sobre B e C eacute igual a 9 e com mais 6 temos

novamente 15

Como o nuacutemero sobre D deve ser 6 os nuacutemeros sobre E e F devem

somar 9 (seguindo o mesmo raciociacutenio para que D E F somem 15)

Assim o nuacutemero sobre G deve ser 6 (para que os nuacutemeros sobre E F e G

somem 15)

Portanto o nuacutemero sobre a letra G eacute 6

RESPOSTA B

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23 VUNESP ndash TJSP ndash 2015) Levantamento feito pelo CRA-SP

questionou qual reforma deve ser priorizada pelo governo Entre as

opccedilotildees estavam os setores previdenciaacuterio trabalhista poliacutetico tributaacuterio

e judiciaacuterio sendo que apenas um deles deveria ser apontado O graacutefico

mostra a distribuiccedilatildeo porcentual arredondada dos votos por setor

Sabendo que o setor poliacutetico recebeu 87 votos a mais do que o setor

judiciaacuterio eacute correto afirmar que a meacutedia aritmeacutetica do nuacutemero de

apontamentos por setor foi igual a

(A) 128

(B) 130

(C) 137

(D) 140

(E) 145

RESOLUCcedilAtildeO

Observe que a diferenccedila percentual entre os toacutepicos poliacutetica e

judiciaacuterio eacute 27 - 15 = 12 Essa diferenccedila correspondeu a 87 votos

Assim podemos escrever a seguinte regra de trecircs para descobrir a

quantidade total de votos (que corresponde a 100 por cento dos votos)

12 -------------- 87

100 ------------ V

12V = 10087

V = 100x8712

V = 725 votos

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Podemos calcular a meacutedia aritmeacutetica de votos em cada setor

primeiramente com base nos percentuais

Meacutedia percentual = (14 + 7 + 27 + 37 + 15) 5 = 100 5

= 20

Para saber quantos votos correspondem a 20 por cento do total

basta fazer

Meacutedia = 20 x 725 = 145 votos

RESPOSTA E

24 FCC ndash TRF3ordf ndash 2014) Em uma construtora haacute pelo menos um

eletricista que tambeacutem eacute marceneiro e haacute pelo menos um eletricista que

tambeacutem eacute pedreiro Nessa construtora qualquer eletricista eacute tambeacutem

marceneiro ou pedreiro mas natildeo ambos Ao todo satildeo 9 eletricistas na

empresa e dentre esses satildeo em maior nuacutemero aqueles eletricistas que

satildeo tambeacutem marceneiros Haacute outros 24 funcionaacuterios que natildeo satildeo

eletricistas Desses 15 satildeo marceneiros e 13 satildeo pedreiros

Nessa situaccedilatildeo o maior nuacutemero de funcionaacuterios que podem atuar como

marceneiros eacute igual a

(A) 33

(B) 19

(C) 24

(D) 15

(E) 23

RESOLUCcedilAtildeO

Imagine os conjuntos dos eletricistas marceneiros e pedreiros Veja

o diagrama abaixo onde marquei as principais regiotildees

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Usando as informaccedilotildees dadas

- qualquer eletricista eacute tambeacutem marceneiro ou pedreiro mas natildeo ambos

(note que a regiatildeo A natildeo tem nenhum elemento pois natildeo haacute nenhum

eletricista que eacute tambeacutem marceneiro e pedreiro ao mesmo tempo E a

regiatildeo E tambeacutem eacute vazia pois ningueacutem eacute apenas eletricista)

- haacute pelo menos um eletricista que tambeacutem eacute marceneiro (regiatildeo C do

diagrama)

- haacute pelo menos um eletricista que tambeacutem eacute pedreiro (regiatildeo B do

diagrama)

Ateacute aqui temos

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Continuando

- satildeo 9 eletricistas na empresa portanto C + B = 9

- dentre os eletricistas satildeo em maior nuacutemero aqueles eletricistas que satildeo

tambeacutem marceneiros (ou seja C eacute maior que B)

- haacute outros 24 funcionaacuterios que natildeo satildeo eletricistas (D + F + G = 24)

- desses 15 satildeo marceneiros e 13 satildeo pedreiros (D + F = 15 e D + G =

13)

Como D + F = 15 podemos encontrar G assim

D + F + G = 24

15 + G = 24

G = 9

D + G = 13

D + 9 = 13

D = 4

D + F = 15

4 + F = 15

F = 11

Ateacute aqui temos

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00000000000 - DEMO




O total de marceneiros eacute dado por C + 0 + 4 + 11 = C + 15 Como

C + B = 9 e C eacute maior que B podemos ter no maacuteximo C = 8 e B = 1

Assim o total de marceneiros seria 8 + 15 = 23 Este eacute o maior nuacutemero

de funcionaacuterios que podem atuar como marceneiros

RESPOSTA E

25 FCC ndash TRT19ordf ndash 2014) Dos 46 teacutecnicos que estatildeo aptos para

arquivar documentos 15 deles tambeacutem estatildeo aptos para classificar

processos e os demais estatildeo aptos para atender ao puacuteblico Haacute outros 11

teacutecnicos que estatildeo aptos para atender ao puacuteblico mas natildeo satildeo capazes

de arquivar documentos Dentre esses uacuteltimos teacutecnicos mencionados 4

deles tambeacutem satildeo capazes de classificar processos Sabe-se que aqueles

que classificam processos satildeo ao todo 27 teacutecnicos Considerando que

todos os teacutecnicos que executam essas trecircs tarefas foram citados

anteriormente eles somam um total de

(A) 58

(B) 65

(C) 76

(D) 53

(E) 95

RESOLUCcedilAtildeO

Imagine os teacutecnicos que Arquivam que Classificam e que Atendem

o puacuteblico Dos 46 teacutecnicos que estatildeo aptos para arquivar documentos 15

deles tambeacutem estatildeo aptos para classificar processos e os demais estatildeo

aptos para atender ao puacuteblico Ou seja

- 15 Arquivam e Classificam

- 31 Arquivam e Atendem

Colocando essas informaccedilotildees em um diagrama temos

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Haacute outros 11 teacutecnicos que estatildeo aptos para atender ao puacuteblico mas

natildeo satildeo capazes de arquivar documentos Dentre esses uacuteltimos teacutecnicos

mencionados 4 deles tambeacutem satildeo capazes de classificar processos

portanto 11 ndash 4 = 7 apenas atendem Assim

Sabe-se que aqueles que classificam processos satildeo ao todo 27

teacutecnicos Como 15 arquivam e classificam e 4 atendem e classificam os

que apenas classificam processos satildeo 27 ndash 15 ndash 4 = 8 Com mais isso no

diagrama temos

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Como todos os teacutecnicos que executam essas trecircs tarefas foram

citados anteriormente eles somam um total de 31 + 7 + 4 + 15 + 8 =

65

RESPOSTA B

26 FCC ndash TRT16ordf ndash 2014) Dois nadadores partem ao mesmo tempo

de extremos opostos de uma piscina retiliacutenea de 90 metros Ambos

nadadores nadam com velocidades constantes um deles percorrendo 2

metros por cada segundo e o outro percorrendo 3 metros por cada

segundo Supondo que os nadadores natildeo perdem nem ganham tempo ao

fazerem as viradas nos extremos da piscina o segundo encontro dos dois

nadadores na piscina ocorreraacute apoacutes t segundos da partida dos nadadores

Nas condiccedilotildees dadas t eacute igual a

(A) 36

(B) 54

(C) 58

(D) 56

(E) 48

RESOLUCcedilAtildeO

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Cada nadador parte de um extremo e nada 90m ateacute a outra

extremidade Ao longo dessa primeira passagem haacute o primeiro encontro

entre eles Entatildeo cada nadador volta no sentido oposto e aiacute ocorre o

segundo encontro Portanto a soma das distacircncias percorridas por cada

um deles na segunda piscina eacute de 90m

Se nessa segunda passagem o nadador mais raacutepido nadou D

metros o mais lento nadou 90 ndash D metros

Assim o nadador mais raacutepido nadou 90 + D metros e o mais lento

nadou 90 + (90 ndash D) = 180 ndash D metros Como eles gastaram o mesmo

tempo podemos dizer que

90 + D ------------------ 3 metros por segundo

180 ndash D ---------------- 2 metros por segundo

2 x (90 + D) = 3 x (180 ndash D)

180 + 2D = 540 ndash 3D

D = 72 metros

Assim o nadador mais raacutepido nadou 90 + D = 90 + 72 = 162

metros ateacute o segundo encontro O tempo gasto foi

3 metros -------------- 1 segundo

162 metros ------------ t segundos

3t = 162

t = 54 segundos

RESPOSTA B

27 FCC ndash TRT18ordf ndash 2013) Empilhando de modo conveniente 8 dados

idecircnticos formamos um cubo de altura 2 como representado na figura

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Do mesmo modo para formar um cubo de altura 4 seraacute necessaacuterio

empilhar de modo conveniente um total de dados idecircnticos igual a

(A) 64

(B) 48

(C) 36

(D) 24

(E) 16

RESOLUCcedilAtildeO

Observe que este cubo de altura igual a 2 possui 2 dados no

sentido da altura 2 dados no sentido da largura e 2 dados no sentido da

profundidade Isso totaliza 2 x 2 x 2 = 23 = 8 dados

Para a altura 4 eacute preciso ter 4 dados em cada sentido totalizando

4 x 4 x 4 = 43 = 64 dados

RESPOSTA A

28 CESPE ndash BASA ndash 2012) Em seu testamento um industrial doou

316 de sua fortuna para uma instituiccedilatildeo que se dedica agrave alfabetizaccedilatildeo de

jovens e adultos 110 para uma entidade que pesquisa medicamentos

para combater a doenccedila de Chagas 516 para sua companheira e o

restante para o seu uacutenico filho

A partir dessas informaccedilotildees julgue os itens que se seguem

( ) O filho do industrial recebeu 40 da fortuna do pai

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( ) A companheira do industrial recebeu mais que o filho

( ) A instituiccedilatildeo que se dedica agrave alfabetizaccedilatildeo de jovens e adultos e a

entidade que pesquisa medicamentos para combater a doenccedila de Chagas

receberam juntas menos de 25 da fortuna do industrial

RESOLUCcedilAtildeO


Seja F a fortuna total Sabemos que 3

16F ficou para a instituiccedilatildeo de

alfabetizaccedilatildeo 1

10F ficou para a entidade de pesquisa

5

16F para a

companheira e o restante (que vamos chamar de R) para o filho Assim

sabemos que

Fortuna total = parte da instituiccedilatildeo + parte da entidade + parte da

companheira + parte do filho

3 1 5

16 10 16F F F F R

3 1 5

16 10 16F F F F R

160 30 16 50

160 160 160 160

FF F F R

64

160

FR

040F R

40F R

Assim o filho ficou com 40 da fortuna Item CORRETO


A esposa recebeu 5

03125 312516

F F da Fortuna Logo ela

recebeu MENOS que o filho Item ERRADO

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00000000000 - DEMO







Como o filho recebeu 40 e a companheira recebeu 3125 ao

todo esses dois receberam 7125 do total Assim sobraram 2875 do

total para a instituiccedilatildeo e a entidade que eacute MAIS de 25 da fortuna do

industrial Item ERRADO

Resposta C E E

29 CESPE ndash TJRR ndash 2012) Considere as seguintes definiccedilotildees

I os divisores proacuteprios de um nuacutemero inteiro positivo n satildeo todos os

divisores inteiros positivos de n exceto o proacuteprio n

II um nuacutemero n seraacute perfeito se a soma de seus divisores proacuteprios for

igual a n

III dois nuacutemeros seratildeo nuacutemeros amigos se cada um deles for igual agrave

soma dos divisores proacuteprios do outro

Com base nessas definiccedilotildees julgue os itens que seguem

( ) O nuacutemero 28 eacute um nuacutemero perfeito

( ) Os nuacutemeros 284 e 220 satildeo nuacutemeros amigos

( ) Se um nuacutemero eacute maior que 1 entatildeo o conjunto dos seus divisores

proacuteprios tem pelo menos 2 elementos

( ) Nenhum nuacutemero primo eacute um nuacutemero perfeito

RESOLUCcedilAtildeO


Os divisores de 28 satildeo 1 2 4 7 14 28 A soma dos divisores de

28 exceto o proacuteprio nuacutemero eacute 1 + 2 + 4 + 7 + 14 = 28 Portanto

segundo a definiccedilatildeo dada no item II do enunciado o nuacutemero 28 eacute

perfeito Item CORRETO


Fatorando esses dois nuacutemeros vocecirc obtem

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220 = 22 x 5 x 11

284 = 22 x 71

Assim os divisores de 220 satildeo 1 2 4 5 10 11 20 22 44 55

110 220 Veja que a sua soma (excluindo o proacuteprio 220) eacute 284

Da mesma forma os divisores de 284 satildeo 1 2 4 71 142 284

A sua soma (excluindo o proacuteprio 284) eacute 220

Logo segundo a definiccedilatildeo III do enunciado estes nuacutemeros satildeo

amigos Item CORRETO



ERRADO Se um nuacutemero for primo ele teraacute apenas um divisor

proacuteprio (o proacuteprio nuacutemero 1) Veja por exemplo que o uacutenico divisor

proacuteprio de 7 eacute o nuacutemero 1


O uacutenico divisor proacuteprio de um nuacutemero primo eacute o 1 Portanto a

soma dos divisores proacuteprios de um nuacutemero primo eacute igual a 1 Assim

nenhum nuacutemero primo eacute perfeito pois a soma dos divisores proacuteprios

nunca seraacute igual ao proacuteprio nuacutemero Item CORRETO

Resposta C C E C

30 CONSULPLAN ndash POLIacuteCIA MILITARTO ndash 2013) A aacuterea em negrito

da figura corresponde a 13 da aacuterea do retacircngulo ABCD cujo periacutemetro

mede 40 cm Considerando ainda que o periacutemetro da regiatildeo em negrito

equivale a 35 do periacutemetro do retacircngulo ABCD entatildeo a aacuterea desse

retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2

RESOLUCcedilAtildeO

Vamos chamar de L o comprimento do lado maior do retacircngulo

ABCD e de M o comprimento do lado menor Marcando isso na figura

temos

O periacutemetro eacute igual agrave soma dos lados ou seja

Periacutemetro = L + M + L + M

40 = 2 x L + 2 x M

00000000000

00000000000 - DEMO




40 = 2 x (L + M)

40 2 = L + M

L + M = 20

M = 20 ndash L

Veja agora o retacircngulo em negrito O seu lado maior tambeacutem mede

L Vamos chamar o seu lado menor de N

Foi dito que o periacutemetro da regiatildeo em negrito equivale a 35 do

periacutemetro do retacircngulo ABCD ou seja

Periacutemetro da regiatildeo em negrito = (35) x 40 = 3 x 40 5 = 24cm

Por outro lado

Periacutemetro da regiatildeo em negrito = L + N + L + N

24 = 2 x (L + N)

24 2 = L + N

12 = L + N

00000000000

00000000000 - DEMO




N = 12 ndash L

A aacuterea de um retacircngulo eacute dada pela multiplicaccedilatildeo do lado maior

(comprimento) pelo lado menor (largura) Assim

Aacuterea do retacircngulo ABCD = L x M = L x (20 ndash L)

Aacuterea do retacircngulo em negrito = L x N = L x (12 ndash L)

Foi dito que a aacuterea em negrito da figura corresponde a 13 da aacuterea

do retacircngulo ABCD ou seja

L x (12 ndash L) = (13) x L x (20 ndash L)

(12 ndash L) = (13) x (20 ndash L)

12 ndash L = 203 ndash L3

12 ndash 203 = L ndash L3

363 ndash 203 = 3L3 ndash L3

163 = 2L3

16 = 2L

L = 162 = 8cm

Portanto

Aacuterea do retacircngulo ABCD = L x (20 ndash L)

Aacuterea do retacircngulo ABCD = 8 x (20 ndash 8)

Aacuterea do retacircngulo ABCD = 8 x 12

Aacuterea do retacircngulo ABCD = 96cm2

RESPOSTA D

31 CONSULPLAN ndash CODEG ndash 2013) Para chegar a certo cocircmodo da

casa uma pessoa dispotildee de um chaveiro com 5 chaves distintas e deveraacute

testaacute-las para abrir as 2 portas Qual a probabilidade de que a pessoa

consiga abrir as 2 portas ambas na primeira tentativa descartando ao

tentar abrir a segunda porta a chave que abriu a primeira

A) 2

B) 4

00000000000

00000000000 - DEMO




C) 5

D) 8

E) 10

RESOLUCcedilAtildeO

Vamos chamar de A o evento ldquoabrir a primeira porta na primeira

tentativardquo e de B o evento ldquoabrir a segunda porta na primeira tentativardquo

Nessa questatildeo queremos abrir as duas portas na primeira tentativa ou

seja queremos saber a probabilidade de ocorrecircncia dos eventos A e B

simultaneamente

Apenas 1 das 5 chaves abre a primeira porta Assim a

probabilidade de ocorrecircncia do evento A (abrir logo na primeira tentativa)

eacute de 1 em 5 ou seja

Probabilidade(A)

casos favoraacuteveis

casos possiacuteveis

1Probabilidade(A)

5

Antes de abrir a segunda porta noacutes descartamos a chave que abriu

a primeira Assim ficamos com um total de 4 chaves na matildeo das quais

apenas 1 abre a segunda porta A probabilidade de ocorrecircncia do evento

B (abrir a segunda porta logo na primeira tentativa) eacute de 1 em 4 isto eacute

Probabilidade(B)



1Probabilidade(B)

4

Repare que os eventos A e B satildeo independentes entre si Isto eacute o

fato de conseguir abrir a primeira porta na primeira tentativa (evento A)

natildeo aumenta nem diminui a nossa chance de conseguir abrir a segunda

porta na primeira tentativa (evento B) Quando dois eventos satildeo

independentes entre si a probabilidade de ambos ocorrerem

simultaneamente eacute dada pela multiplicaccedilatildeo das probabilidades

Probabilidade(A e B) = Probabilidade(A) Probabilidade(B)

00000000000

00000000000 - DEMO




1 1Probabilidade(A e B) =

5 4

1Probabilidade(A e B) =

20

Probabilidade(A e B) = 005

Probabilidade(A e B) 5

RESPOSTA C

32 CESPE ndash CORREIOS ndash 2011) Considere que das correspondecircncias

que um carteiro deveria entregar em determinado dia 58 foram

entregues pela manhatilde 15 agrave tarde e 14 ficaram para ser entregues no

dia seguinte Nessa situaccedilatildeo a quantidade de correspondecircncias entregue

pelo carteiro naquele dia foi igual a

A) 98

B) 112

C) 26

D) 66

E) 82

RESOLUCcedilAtildeO

Seja C o total de correspondecircncias que deveriam ser entregues

Sabemos que

Total = entregues de manhatilde + entregues agrave tarde + entregues no dia

seguinte

5 114

8 5C C C

5 114

8 5C C C

40 25 814

40C

80C correspondecircncias

00000000000

00000000000 - DEMO




Como 14 ficaram para o dia seguinte entatildeo naquele dia foram

entregues 80 ndash 14 = 66 correspondecircncias

RESPOSTA D

33 CEPERJ ndash SEPLAGRJ ndash 2012) Um controle remoto de TV e mais

as duas pilhas necessaacuterias para seu funcionamento podem ser comprados

em certo site da internet por R$3000 O controle apenas custa R$1600

reais a mais que o preccedilo das duas pilhas O preccedilo de uma pilha eacute

A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800

RESOLUCcedilAtildeO

Seja 2P o preccedilo das duas pilhas juntas (ou seja o preccedilo de cada

pilha eacute P) O controle remoto custa 16 reais a mais que as duas pilhas ou

seja custa 2P + 16 Podemos escrever

Controle = 2P + 16

Sabemos tambeacutem que o preccedilo do controle remoto e mais as duas

pilhas eacute igual a 30 ou seja

Controle + Pilhas = 30

(2P+ 16) + 2P = 30

4P = 14

14 735

4 2P

Portanto o preccedilo de uma pilha eacute igual a R$350

RESPOSTA A

00000000000

00000000000 - DEMO




34 CEPERJ ndash SEFAZRJ ndash 2012) Um feirante certo dia vendeu 40

do seu estoque com lucro de 30 e o restante com prejuiacutezo de 5

Nesse dia o seu lucro correspondeu a

A) 6

B) 9

C) 12

D) 16

E) 25

RESOLUCcedilAtildeO

Chamando de L o lucro de V o faturamento (recebimentos pelas

vendas) e de C o custo das mercadorias vendidas podemos dizer que o

lucro eacute a diferenccedila entre o faturamento e o custo isto eacute

L = V ndash C

Imagine que o custo total do estoque seja C = 100 reais 40

desse estoque (ou seja uma parte do estoque que custou 40 reais) foi

vendido com 30 de lucro Ou seja o lucro L foi igual a 30 do custo

dessa parcela do estoque ou seja 30x40 = 12 reais Assim para essa

parcela podemos dizer que

L = V ndash C

12 = V ndash 40

V = 52 reais

Ou seja 40 do estoque que custava 40 reais foi vendido por 52

reais gerando lucro de 12 reais (30 do custo)

O restante isto eacute a parte do estoque que custava 60 reais foi

vendida com 5 de prejuiacutezo Como 5 do custo eacute 5x60 = 3 reais

podemos dizer que o prejuiacutezo foi de 3 reais (ou seja o lucro foi L = -3

reais) Assim

L = V ndash C

-3 = V ndash 60

V = 57 reais

Ou seja a parte restante (60) do estoque que custava 60 reais

foi vendida por 57 reais deixando prejuiacutezo de 3 reais (5 do custo)

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00000000000 - DEMO




Ao todo as vendas somaram 57 + 52 = 109 reais enquanto o

custo somou 100 reais Portanto o lucro total foi

L = 109 ndash 100 = 9 reais

Como 9 reais em 100 representam 9 a margem de lucro total foi

de 9

RESPOSTA B

35 CEPERJ ndash SEFAZRJ ndash 2012) Uma faacutebrica possui 15 maacutequinas

iguais que fabricam garrafas de vidro Certo dia a faacutebrica recebeu uma

encomenda de 18000 garrafas de vidro e durante 8 dias as 15 maacutequinas

produziram 7200 garrafas No fim desse periacuteodo 3 maacutequinas foram

desligadas para manutenccedilatildeo Entatildeo as 12 maacutequinas restantes

continuaram a trabalhar e terminaram a encomenda no periacuteodo de tempo

de

A) 15 dias

B) 16 dias

C) 18 dias

D) 20 dias

E) 24 dias

RESOLUCcedilAtildeO

Temos as ldquograndezasrdquo no enunciado quantidade de maacutequinas

nuacutemero de garrafas produzidas e dias de trabalho Considerando os

valores fornecidos temos

Quantidade de maacutequinas Nuacutemero de garrafas Dias de

trabalho

15 7200 8

15 ndash 3 18000-7200 X

00000000000

00000000000 - DEMO




Quanto mais dias de trabalho menos maacutequinas satildeo necessaacuterias

(inversamente proporcionais) e mais garrafas satildeo produzidas

(diretamente proporcionais) Portanto colocando as setas temos


trabalho

15 7200 8

12 10800 X

Invertendo a coluna das maacutequinas temos


trabalho

12 7200 8

15 10800 X

Podemos montar a seguinte proporccedilatildeo

8 12 7200

15 10800

15

X

X dias

RESPOSTA A

36 CEPERJ ndash SEFAZRJ ndash 2011) Uma prova tem trecircs partes cada uma

com 4 questotildees Cada questatildeo respondida corretamente vale 1 ponto

questatildeo respondida erradamente natildeo vale nada e natildeo haacute pontuaccedilotildees

intermediaacuterias Para ser classificado um candidato deve responder

corretamente a pelo menos 2 questotildees de cada parte

00000000000

00000000000 - DEMO




Um candidato classificado fez 7 pontos O nuacutemero de maneiras diferentes

de ter obtido essa pontuaccedilatildeo eacute

A) 36

B) 72

C) 144

D) 216

E) 432

RESOLUCcedilAtildeO

Se o candidato foi classificado entatildeo ele acertou pelo menos 2

questotildees em cada parte da prova Se ele tivesse acertado exatamente 2

questotildees em cada parte totalizaria 6 pontos Como ele totalizou 7

pontos ele necessariamente acertou 2 questotildees em duas partes da

prova e 3 questotildees em outra parte

Vamos imaginar que ele acertou 3 questotildees na primeira parte O

nuacutemero de maneiras de fazer isso eacute dado pela combinaccedilatildeo de 4 questotildees

3 a 3 C(43) = 4

Para acertar 2 questotildees na segunda parte o nuacutemero de maneiras eacute

C(42) = 6 E para acertar 2 questotildees na terceira parte o nuacutemero de

maneiras eacute C(42) = 6

Ateacute aqui temos 4 x 6 x 6 = 144 formas de o candidato ter sido

classificado

Precisamos calcular o nuacutemero de maneiras do candidato acertar

apenas 2 questotildees na primeira parte 3 na segunda e 2 na terceira

Chegaremos a C(42) x C(43) x C(42) = 6 x 4 x 6 = 144

Para acertar 2 questotildees na primeira e na segunda partes e 3

questotildees na terceira teremos C(42) x C(42) x C(43) = 144

00000000000

00000000000 - DEMO




Assim ao todo temos 432 formas do candidato ter se classificado

fazendo 7 pontos

RESPOSTA E

37 CEPERJ ndash SEPLAGRJ ndash 2012) Sabe-se que 30 patos comem 18kg

de milho em 3 dias e que n patos comeratildeo 80kg de milho em 4 dias O

valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

RESOLUCcedilAtildeO

Temos 3 grandezas nuacutemero de patos quantidade de milho e

nuacutemero de dias Vamos colocaacute-las abaixo conforme dito pelo enunciado

Nuacutemero de patos Quantidade de milho Nuacutemero de dias

30 18 3

n 80 4

Quanto mais patos maior a quantidade de milho necessaacuteria Satildeo

grandezas diretamente proporcionais E quanto mais patos menor o

nuacutemero de dias que eles gastaratildeo para comer tudo Satildeo grandezas

inversamente proporcionais Portanto antes de montar a proporccedilatildeo

precisamos inverter a coluna do nuacutemero de dias Invertendo-a temos


30 18 4

n 80 3

Agora sim podemos montar a proporccedilatildeo

00000000000

00000000000 - DEMO




30 18 4

80 3n

Com isso obtemos o valor de n

30 18 4

80 3

30 80 3 18 4

30 80 3100

18 4

n

n

n

Ou seja satildeo necessaacuterios 100 patos para comer 80kg de raccedilatildeo em 4

dias

RESPOSTA B

38 CEPERJ ndash SEPLAGRJ ndash 2012) Rogeacuterio e Marcelo treinaram corrida

em uma praccedila quadrada de 90m de lado

Rogeacuterio percorreu o contorno da praccedila dando 7 voltas completas nela

Marcelo correu sobre a diagonal ida e volta 10 vezes Considere

2 141

Entatildeo

A) Rogeacuterio percorreu aproximadamente 10m a mais que Marcelo

B) Marcelo percorreu aproximadamente 18m a mais que Rogeacuterio

C) Rogeacuterio percorreu aproximadamente 32m a mais que Marcelo

D) Marcelo percorreu aproximadamente 44m a mais que Rogeacuterio

E) Marcelo e Rogeacuterio percorreram distacircncias iguais

RESOLUCcedilAtildeO

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00000000000 - DEMO




Rogeacuterio deu 7 voltas na praccedila isto eacute percorreu o periacutemetro do

quadrado 7 vezes O periacutemetro de um quadrado de lado 90 eacute a soma 90

+ 90 + 90 + 90 = 360 metros Portanto Rogeacuterio percorreu 7 x 360 =

2520 metros

Jaacute Marcelo percorreu 10 vezes a diagonal do quadrado Veja que a

diagonal e mais dois lados do quadrado formam o triacircngulo retacircngulo

abaixo

Para calcular a medida da diagional D podemos usar a foacutermula de

Pitaacutegoras 2 2 2

90 90D

2 22 90D

22 90D

90 2D

Como o enunciado disse que 2 141 temos

90 141 1269D

Se Marcelo percorreu 10 vezes a diagonal tanto na ida quanto na

volta ele percorreu ao todo 10 x 1269 + 10 x 1269 = 2538 metros

Assim vemos que Marcelo percorreu 18 metros a mais que Rogeacuterio

RESPOSTA B

39 CESGRANRIO ndash PETROBRAacuteS ndash 2010) Certa pizzaria oferece aos

clientes cinco tipos de cobertura (presunto calabresa frango cebola e

00000000000

00000000000 - DEMO




azeitona) para serem acrescentadas ao queijo Os clientes podem

escolher uma duas ou trecircs coberturas Joatildeo quer cebola em sua pizza

mas ainda natildeo decidiu se colocaraacute ou natildeo outras coberturas

Considerando-se essas informaccedilotildees de quantos modos distintos Joatildeo

poderaacute montar sua pizza

a) 10

b) 11

c) 15

d) 16

e) 24

RESOLUCcedilAtildeO

Podemos ter pizzas com 1 2 ou 3 coberturas sendo que em todos

os casos uma das coberturas jaacute estaacute decidida (cebola) Vejamos quantas

possibilidades existem em cada caso

Uma hipoacutetese para a pizza de Joatildeo eacute ficar com soacute 1 cobertura

(cebola que jaacute estaacute escolhida) Soacute haacute 1 possibilidade neste caso

No caso de 2 coberturas ele tem mais 4 possibilidades (os outros 4

sabores que ele pode escolher)

Caso ele prefira 3 coberturas precisamos escolher 2 das 4

coberturas disponiacuteveis Para saber quantas possibilidades de pizzas

teremos basta efetuar a combinaccedilatildeo de 4 coberturas em grupos de 2 o

que nos daacute um total de

C(4 2) = (4 x 3) (2 x 1) = 6 possibilidades

Logo temos 1 + 4 + 6 = 11 possibilidades ao todo

RESPOSTA B

40 CESGRANRIO ndash BANCO DO BRASIL ndash 2012) No modelo abaixo os

pontos A B C e D pertencem agrave mesma reta O ponto A dista 658 mm do

ponto D o ponto B dista 419 mm do ponto D e o ponto C estaacute a 487

mm do ponto A

00000000000

00000000000 - DEMO




Qual eacute em miliacutemetros a distacircncia entre os pontos B e C

(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

RESOLUCcedilAtildeO

Chamando de AB a distacircncia entre A e B de AC a distacircncia entre A

e C e assim por diante temos que

- O ponto A dista 658 mm do ponto D

AD = AB + BC + CD = 658

- o ponto B dista 419 mm do ponto D

BD = BC + CD = 419

- o ponto C estaacute a 487 mm do ponto A

AC = AB + BC = 487

Agora podemos trabalhar com as equaccedilotildees duas a duas Sabemos

que

AB + BC + CD = 658

BC + CD = 419

Logo

AB + 419 = 658

AB = 239mm

Tambeacutem sabemos que

AB + BC + CD = 658

AB + BC = 487

00000000000

00000000000 - DEMO




Logo

487 + CD = 658

CD = 171mm

Assim

AB + BC + CD = 658

239 + BC + 171 = 658

BC = 248mm

RESPOSTA E

Fim de aula Nos vemos na aula 01

Abraccedilo

Prof Arthur Lima

Periscope ARTHURRRL

Facebook wwwfacebookcomProfArthurLima 00000000000

00000000000 - DEMO



















a) 78

b) 76

c) 74

d) 72






00000000000

00000000000 - DEMO





em reais












a

a) 14

b) 18

c) 22

d) 28





a) 120

b) 240

c) 360

d) 480




00000000000

00000000000 - DEMO






(A) 90

(B) 84

(C) 82

(D) 80

(E) 78







a) 6

b) 7

c) 10

d) 14







(A) 3572200

(B) 820000

(C) 357720

(D) 35772

(E) 33220

00000000000

00000000000 - DEMO






a) 80

b) 100

c) 75

d) 25

e) 108








(A) 15

(B) 16

(C) 17

(D) 18

(E) 19





gramas a

(A) 338

(B) 208

(C) 200

(D) 182

(E) 220

00000000000

00000000000 - DEMO









(A) 15h 4 min

(B) 15h 15 min

(C) 15 h 24 min

(D) 15h 29 min

(E) 15 h 31 min





eacute igual a

(A) 125ordm

(B) 115ordm

(C) 110ordm

(D) 135ordm

(E) 130ordm






00000000000

00000000000 - DEMO




(A) 2

7

(B) 5

21

(C) 10

21

(D) 2

49

(E) 10

49









(A) 040

(B) 036

(C) 032

(D) 030

(E) 028









00000000000

00000000000 - DEMO




(A) 1

2

(B) 2

3

(C) 12

35

(D) 8

15

(E) 10

21











(A) R$ 7200000

(B) R$ 8250000

(C) R$ 9400000

(D) R$ 11250000

(E) R$ 12000000







00000000000

00000000000 - DEMO




(A) 3

(B) 6

(C) 4

(D) 5

(E) 7








(A) 23

(B) 78

(C) 14

(D) 38

(E) 98











(D) igual a 8

(E) maior que 13

00000000000

00000000000 - DEMO








(A) 126

(B) 135

(C) 144

(D) 162

(E) 153







(A) 5

(B) 6

(C) 4

(D) 7

(E) 3



00000000000

00000000000 - DEMO










(A) 128

(B) 130

(C) 137

(D) 140

(E) 145










(A) 33

(B) 19

(C) 24

00000000000

00000000000 - DEMO




(D) 15

(E) 23










(A) 58

(B) 65

(C) 76

(D) 53

(E) 95









(A) 36

(B) 54

(C) 58

(D) 56

(E) 48

00000000000

00000000000 - DEMO








(A) 64

(B) 48

(C) 36

(D) 24

(E) 16









00000000000

00000000000 - DEMO











igual a n













retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2






A) 2

B) 4

C) 5

D) 8

E) 10






A) 98

B) 112

C) 26

00000000000

00000000000 - DEMO




D) 66

E) 82





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800




A) 6

B) 9

C) 12

D) 16

E) 25







de

A) 15 dias

B) 16 dias

00000000000

00000000000 - DEMO




C) 18 dias

D) 20 dias

E) 24 dias








A) 36

B) 72

C) 144

D) 216

E) 432



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

00000000000

00000000000 - DEMO








2 141

Entatildeo













a) 10

b) 11

c) 15

d) 16

e) 24

00000000000

00000000000 - DEMO







mm do ponto A


(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

00000000000

00000000000 - DEMO




01 D 02 A 03 B 04 D 05 C 06 A 07 C

08 B 09 C 10 D 11 E 12 E 13 D 14 C

15 A 16 D 17 B 18 D 19 B 20 A 21 C

22 B 23 E 24 E 25 B 26 B 27 A 28 CEE

29 CCEC 30 D 31 C 32 D 33 A 34 B 35 A

36 E 37 B 38 B 39 B 40 E

00000000000

00000000000 - DEMO




AULA 00 (demonstrativa)

SUMAacuteRIO PAacuteGINA

1 Apresentaccedilatildeo 01

2 Cronograma do curso 04

3 Resoluccedilatildeo de questotildees 06

4 Questotildees apresentadas na aula 55

5 Gabarito 73

1 APRESENTACcedilAtildeO

Seja bem-vindo a este CURSO REGULAR DE MATEMAacuteTICA

desenvolvido para auxiliar na sua preparaccedilatildeo para concursos em que essa

mateacuteria eacute normalmente exigida

Aleacutem de vermos todo o conteuacutedo teoacuterico resolveremos juntos

cerca de 1000 a 1200 exerciacutecios das bancas mais tradicionais (FCC

ESAF CESPE FGV CESGRANRIO CEPERJ VUNESP etc) e tambeacutem de

outras bancas de menor porte cujas questotildees sejam interessantes para o

seu aprendizado (FUNDATEC IDECAN FUNIVERSA CONSULPLAN etc)

Neste material vocecirc teraacute

- curso completo em viacutedeo formado por cerca de 25 horas de

gravaccedilotildees onde explico todos os toacutepicos mais exigidos em concursos e

resolvo alguns exerciacutecios para vocecirc comeccedilar a se familiarizar com os

temas

00000000000

00000000000 - DEMO




















Receita Federal














00000000000

00000000000 - DEMO






















meus contatos






aplicativo

00000000000

00000000000 - DEMO











Data Aula








etc)













cobrados)



00000000000

00000000000 - DEMO










trigonometria etc


00000000000

00000000000 - DEMO

























RESOLUCcedilAtildeO



00000000000

00000000000 - DEMO



















RESPOSTA D





a) 78

b) 76

c) 74

d) 72

RESOLUCcedilAtildeO



H

00000000000

00000000000 - DEMO











leva a H = 26






RESPOSTA A







em reais






RESOLUCcedilAtildeO




00000000000

00000000000 - DEMO






RESPOSTA B







a

a) 14

b) 18

c) 22

d) 28

RESOLUCcedilAtildeO



frango e peixe




seja

F+X=3X

F=2X


P=12


54=P+F+X

54=12+2X+X

X=14

00000000000

00000000000 - DEMO





RESPOSTA D





a) 120

b) 240

c) 360

d) 480

RESOLUCcedilAtildeO






Logo N = 3 x 6 x 5 x 4 = 360

RESPOSTA C






(A) 90

(B) 84

(C) 82

(D) 80

(E) 78

RESOLUCcedilAtildeO

00000000000

00000000000 - DEMO









111 litros ------- 100km

1 litro ------------ N km

111xN = 1x100

N = 100 111

N = 90 km

RESPOSTA A







a) 6

b) 7

c) 10

d) 14

RESOLUCcedilAtildeO






5(X+8) ndash 5(X-3) =X

5X+40-5X+15=X

00000000000

00000000000 - DEMO




X=55



RESPOSTA C







(A) 3572200

(B) 820000

(C) 357720

(D) 35772

(E) 33220

RESOLUCcedilAtildeO


125m3 = 12500 litros

153m3 = 15300 litros


= 8200 litros

RESPOSTA B



a) 80

b) 100

c) 75

d) 25

00000000000

00000000000 - DEMO




e) 108

RESOLUCcedilAtildeO



forma

905

XX

590

5 5

X X

690

5

X

75X

RESPOSTA C








(A) 15

(B) 16

(C) 17

(D) 18

(E) 19

RESOLUCcedilAtildeO


latas Ou seja



00000000000

00000000000 - DEMO





Igualando os totais

14n + 16 = 20n ndash 8

16 + 8 = 20n ndash 14n

24 = 6n

n = 4 prateleiras



prateleira

RESPOSTA D





gramas a

(A) 338

(B) 208

(C) 200

(D) 182

(E) 220

RESOLUCcedilAtildeO







capacidade total

35 -------------- 182g

00000000000

00000000000 - DEMO




40 --------------- P

35xP = 40x182

P = 40x182 35

P = 040x182 035

P = 208g





RESPOSTA E






(A) 15h 4 min

(B) 15h 15 min

(C) 15 h 24 min

(D) 15h 29 min

(E) 15 h 31 min

RESOLUCcedilAtildeO






RESPOSTA E

00000000000

00000000000 - DEMO








eacute igual a

(A) 125ordm

(B) 115ordm

(C) 110ordm

(D) 135ordm

(E) 130ordm

RESOLUCcedilAtildeO





180 = 90 + +

180 ndash 90 = +

90 = 2

902 =

45ordm =

Temos o seguinte

00000000000

00000000000 - DEMO






x + 45 = 90

x = 90 ndash 45

x = 45ordm




180 = 45 + 45 +

180 = 90 +

180 ndash 90 =

90ordm =


+ = 90 + 45 = 135ordm

RESPOSTA D




00000000000

00000000000 - DEMO






(A) 2

7

(B) 5

21

(C) 10

21

(D) 2

49

(E) 10

49

RESOLUCcedilAtildeO





de 27 x 56 = 17 x 53 = 521







enunciado





00000000000

00000000000 - DEMO







RESPOSTA C









(A) 040

(B) 036

(C) 032

(D) 030

(E) 028

RESPOSTA






eacute 160x025 = 040m3

RESPOSTA A






00000000000

00000000000 - DEMO







(A) 1

2

(B) 2

3

(C) 12

35

(D) 8

15

(E) 10

21

RESOLUCcedilAtildeO



P3 = Q5 = R7

Assim

P3 = R7

P = 3R7

Q5 = R7

Q = 5R7


Total = P + Q + R = 3R7 + 5R7 + R = 8R7 + 7R7 = 15R7


P + Q = 3R7 + 5R7 = 8R7



00000000000

00000000000 - DEMO









RESPOSTA D











(A) R$ 7200000

(B) R$ 8250000

(C) R$ 9400000

(D) R$ 11250000

(E) R$ 12000000

RESOLUCcedilAtildeO





300000 ------------- 22 + 28 + 30

Valor ------------ 22

00000000000

00000000000 - DEMO




300000 x 22 = Valor x 80

Valor = 82500 reais

RESPOSTA B







(A) 3

(B) 6

(C) 4

(D) 5

(E) 7

RESOLUCcedilAtildeO













menores

RESPOSTA D

00000000000

00000000000 - DEMO











(A) 23

(B) 78

(C) 14

(D) 38

(E) 98

RESOLUCcedilAtildeO



200 unidades ------------ 3E4

300 unidades ------------ N

200N = 300x3E4

2N = 3x3E4

2N = 9E4

N = 9E8





eacute




RESPOSTA B

00000000000

00000000000 - DEMO














(D) igual a 8

(E) maior que 13

RESOLUCcedilAtildeO



- 9 18 19 27 28 29 36 37 38 39




8cm3

RESPOSTA A




00000000000

00000000000 - DEMO





(A) 126

(B) 135

(C) 144

(D) 162

(E) 153

RESOLUCcedilAtildeO


medida igual a 10




102 = 62 + X2

100 = 36 + X2

64 = X2

8 = X


10

10

X

00000000000

00000000000 - DEMO







RESPOSTA C







(A) 5

(B) 6

(C) 4

(D) 7

(E) 3

RESOLUCcedilAtildeO






novamente 15




somem 15)


RESPOSTA B

00000000000

00000000000 - DEMO












(A) 128

(B) 130

(C) 137

(D) 140

(E) 145

RESOLUCcedilAtildeO





12 -------------- 87

100 ------------ V

12V = 10087

V = 100x8712

V = 725 votos

00000000000

00000000000 - DEMO







= 20


basta fazer


RESPOSTA E










(A) 33

(B) 19

(C) 24

(D) 15

(E) 23

RESOLUCcedilAtildeO



00000000000

00000000000 - DEMO










diagrama)


diagrama)

Ateacute aqui temos

00000000000

00000000000 - DEMO




Continuando






13)


D + F + G = 24

15 + G = 24

G = 9

D + G = 13

D + 9 = 13

D = 4

D + F = 15

4 + F = 15

F = 11

Ateacute aqui temos

00000000000

00000000000 - DEMO








RESPOSTA E










(A) 58

(B) 65

(C) 76

(D) 53

(E) 95

RESOLUCcedilAtildeO








00000000000

00000000000 - DEMO











diagrama temos

00000000000

00000000000 - DEMO






65

RESPOSTA B









(A) 36

(B) 54

(C) 58

(D) 56

(E) 48

RESOLUCcedilAtildeO

00000000000

00000000000 - DEMO
















2 x (90 + D) = 3 x (180 ndash D)

180 + 2D = 540 ndash 3D

D = 72 metros



3 metros -------------- 1 segundo


3t = 162

t = 54 segundos

RESPOSTA B



00000000000

00000000000 - DEMO






(A) 64

(B) 48

(C) 36

(D) 24

(E) 16

RESOLUCcedilAtildeO





4 x 4 x 4 = 43 = 64 dados

RESPOSTA A








00000000000

00000000000 - DEMO








RESOLUCcedilAtildeO






5

16F para a


sabemos que



3 1 5

16 10 16F F F F R

3 1 5

16 10 16F F F F R

160 30 16 50

160 160 160 160

FF F F R

64

160

FR

040F R

40F R



A esposa recebeu 5

03125 312516



00000000000

00000000000 - DEMO











Resposta C E E





igual a n









RESOLUCcedilAtildeO








00000000000

00000000000 - DEMO




220 = 22 x 5 x 11

284 = 22 x 71






amigos Item CORRETO











Resposta C C E C





retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2

RESOLUCcedilAtildeO



temos



40 = 2 x L + 2 x M

00000000000

00000000000 - DEMO




40 = 2 x (L + M)

40 2 = L + M

L + M = 20

M = 20 ndash L






Por outro lado


24 = 2 x (L + N)

24 2 = L + N

12 = L + N

00000000000

00000000000 - DEMO




N = 12 ndash L








(12 ndash L) = (13) x (20 ndash L)




163 = 2L3

16 = 2L

L = 162 = 8cm

Portanto





RESPOSTA D






A) 2

B) 4

00000000000

00000000000 - DEMO




C) 5

D) 8

E) 10

RESOLUCcedilAtildeO





simultaneamente




Probabilidade(A)



1Probabilidade(A)

5





Probabilidade(B)



1Probabilidade(B)

4








00000000000

00000000000 - DEMO





5 4


20



RESPOSTA C






A) 98

B) 112

C) 26

D) 66

E) 82

RESOLUCcedilAtildeO


Sabemos que


seguinte

5 114

8 5C C C

5 114

8 5C C C

40 25 814

40C


00000000000

00000000000 - DEMO






RESPOSTA D





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800

RESOLUCcedilAtildeO




Controle = 2P + 16




(2P+ 16) + 2P = 30

4P = 14

14 735

4 2P


RESPOSTA A

00000000000

00000000000 - DEMO







A) 6

B) 9

C) 12

D) 16

E) 25

RESOLUCcedilAtildeO




L = V ndash C






L = V ndash C

12 = V ndash 40

V = 52 reais






reais) Assim

L = V ndash C

-3 = V ndash 60

V = 57 reais



00000000000

00000000000 - DEMO








de 9

RESPOSTA B







de

A) 15 dias

B) 16 dias

C) 18 dias

D) 20 dias

E) 24 dias

RESOLUCcedilAtildeO





trabalho

15 7200 8

15 ndash 3 18000-7200 X

00000000000

00000000000 - DEMO








trabalho

15 7200 8

12 10800 X



trabalho

12 7200 8

15 10800 X


8 12 7200

15 10800

15

X

X dias

RESPOSTA A






00000000000

00000000000 - DEMO






A) 36

B) 72

C) 144

D) 216

E) 432

RESOLUCcedilAtildeO








3 a 3 C(43) = 4





classificado






00000000000

00000000000 - DEMO





fazendo 7 pontos

RESPOSTA E



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

RESOLUCcedilAtildeO




30 18 3

n 80 4







30 18 4

n 80 3


00000000000

00000000000 - DEMO




30 18 4

80 3n


30 18 4

80 3

30 80 3 18 4

30 80 3100

18 4

n

n

n


dias

RESPOSTA B





2 141

Entatildeo






RESOLUCcedilAtildeO

00000000000

00000000000 - DEMO







2520 metros



abaixo



90 90D

2 22 90D

22 90D

90 2D


90 141 1269D




RESPOSTA B



00000000000

00000000000 - DEMO









a) 10

b) 11

c) 15

d) 16

e) 24

RESOLUCcedilAtildeO














RESPOSTA B




mm do ponto A

00000000000

00000000000 - DEMO





(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

RESOLUCcedilAtildeO




AD = AB + BC + CD = 658


BD = BC + CD = 419


AC = AB + BC = 487


que

AB + BC + CD = 658

BC + CD = 419

Logo

AB + 419 = 658

AB = 239mm


AB + BC + CD = 658

AB + BC = 487

00000000000

00000000000 - DEMO




Logo

487 + CD = 658

CD = 171mm

Assim

AB + BC + CD = 658

239 + BC + 171 = 658

BC = 248mm

RESPOSTA E


Abraccedilo

Prof Arthur Lima

Periscope ARTHURRRL


00000000000 - DEMO



















a) 78

b) 76

c) 74

d) 72






00000000000

00000000000 - DEMO





em reais












a

a) 14

b) 18

c) 22

d) 28





a) 120

b) 240

c) 360

d) 480




00000000000

00000000000 - DEMO






(A) 90

(B) 84

(C) 82

(D) 80

(E) 78







a) 6

b) 7

c) 10

d) 14







(A) 3572200

(B) 820000

(C) 357720

(D) 35772

(E) 33220

00000000000

00000000000 - DEMO






a) 80

b) 100

c) 75

d) 25

e) 108








(A) 15

(B) 16

(C) 17

(D) 18

(E) 19





gramas a

(A) 338

(B) 208

(C) 200

(D) 182

(E) 220

00000000000

00000000000 - DEMO









(A) 15h 4 min

(B) 15h 15 min

(C) 15 h 24 min

(D) 15h 29 min

(E) 15 h 31 min





eacute igual a

(A) 125ordm

(B) 115ordm

(C) 110ordm

(D) 135ordm

(E) 130ordm






00000000000

00000000000 - DEMO




(A) 2

7

(B) 5

21

(C) 10

21

(D) 2

49

(E) 10

49









(A) 040

(B) 036

(C) 032

(D) 030

(E) 028









00000000000

00000000000 - DEMO




(A) 1

2

(B) 2

3

(C) 12

35

(D) 8

15

(E) 10

21











(A) R$ 7200000

(B) R$ 8250000

(C) R$ 9400000

(D) R$ 11250000

(E) R$ 12000000







00000000000

00000000000 - DEMO




(A) 3

(B) 6

(C) 4

(D) 5

(E) 7








(A) 23

(B) 78

(C) 14

(D) 38

(E) 98











(D) igual a 8

(E) maior que 13

00000000000

00000000000 - DEMO








(A) 126

(B) 135

(C) 144

(D) 162

(E) 153







(A) 5

(B) 6

(C) 4

(D) 7

(E) 3



00000000000

00000000000 - DEMO










(A) 128

(B) 130

(C) 137

(D) 140

(E) 145










(A) 33

(B) 19

(C) 24

00000000000

00000000000 - DEMO




(D) 15

(E) 23










(A) 58

(B) 65

(C) 76

(D) 53

(E) 95









(A) 36

(B) 54

(C) 58

(D) 56

(E) 48

00000000000

00000000000 - DEMO








(A) 64

(B) 48

(C) 36

(D) 24

(E) 16









00000000000

00000000000 - DEMO











igual a n













retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2






A) 2

B) 4

C) 5

D) 8

E) 10






A) 98

B) 112

C) 26

00000000000

00000000000 - DEMO




D) 66

E) 82





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800




A) 6

B) 9

C) 12

D) 16

E) 25







de

A) 15 dias

B) 16 dias

00000000000

00000000000 - DEMO




C) 18 dias

D) 20 dias

E) 24 dias








A) 36

B) 72

C) 144

D) 216

E) 432



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

00000000000

00000000000 - DEMO








2 141

Entatildeo













a) 10

b) 11

c) 15

d) 16

e) 24

00000000000

00000000000 - DEMO







mm do ponto A


(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

00000000000

00000000000 - DEMO




01 D 02 A 03 B 04 D 05 C 06 A 07 C

08 B 09 C 10 D 11 E 12 E 13 D 14 C

15 A 16 D 17 B 18 D 19 B 20 A 21 C

22 B 23 E 24 E 25 B 26 B 27 A 28 CEE

29 CCEC 30 D 31 C 32 D 33 A 34 B 35 A

36 E 37 B 38 B 39 B 40 E

00000000000

00000000000 - DEMO




















Receita Federal














00000000000

00000000000 - DEMO






















meus contatos






aplicativo

00000000000

00000000000 - DEMO











Data Aula








etc)













cobrados)



00000000000

00000000000 - DEMO










trigonometria etc


00000000000

00000000000 - DEMO

























RESOLUCcedilAtildeO



00000000000

00000000000 - DEMO



















RESPOSTA D





a) 78

b) 76

c) 74

d) 72

RESOLUCcedilAtildeO



H

00000000000

00000000000 - DEMO











leva a H = 26






RESPOSTA A







em reais






RESOLUCcedilAtildeO




00000000000

00000000000 - DEMO






RESPOSTA B







a

a) 14

b) 18

c) 22

d) 28

RESOLUCcedilAtildeO



frango e peixe




seja

F+X=3X

F=2X


P=12


54=P+F+X

54=12+2X+X

X=14

00000000000

00000000000 - DEMO





RESPOSTA D





a) 120

b) 240

c) 360

d) 480

RESOLUCcedilAtildeO






Logo N = 3 x 6 x 5 x 4 = 360

RESPOSTA C






(A) 90

(B) 84

(C) 82

(D) 80

(E) 78

RESOLUCcedilAtildeO

00000000000

00000000000 - DEMO









111 litros ------- 100km

1 litro ------------ N km

111xN = 1x100

N = 100 111

N = 90 km

RESPOSTA A







a) 6

b) 7

c) 10

d) 14

RESOLUCcedilAtildeO






5(X+8) ndash 5(X-3) =X

5X+40-5X+15=X

00000000000

00000000000 - DEMO




X=55



RESPOSTA C







(A) 3572200

(B) 820000

(C) 357720

(D) 35772

(E) 33220

RESOLUCcedilAtildeO


125m3 = 12500 litros

153m3 = 15300 litros


= 8200 litros

RESPOSTA B



a) 80

b) 100

c) 75

d) 25

00000000000

00000000000 - DEMO




e) 108

RESOLUCcedilAtildeO



forma

905

XX

590

5 5

X X

690

5

X

75X

RESPOSTA C








(A) 15

(B) 16

(C) 17

(D) 18

(E) 19

RESOLUCcedilAtildeO


latas Ou seja



00000000000

00000000000 - DEMO





Igualando os totais

14n + 16 = 20n ndash 8

16 + 8 = 20n ndash 14n

24 = 6n

n = 4 prateleiras



prateleira

RESPOSTA D





gramas a

(A) 338

(B) 208

(C) 200

(D) 182

(E) 220

RESOLUCcedilAtildeO







capacidade total

35 -------------- 182g

00000000000

00000000000 - DEMO




40 --------------- P

35xP = 40x182

P = 40x182 35

P = 040x182 035

P = 208g





RESPOSTA E






(A) 15h 4 min

(B) 15h 15 min

(C) 15 h 24 min

(D) 15h 29 min

(E) 15 h 31 min

RESOLUCcedilAtildeO






RESPOSTA E

00000000000

00000000000 - DEMO








eacute igual a

(A) 125ordm

(B) 115ordm

(C) 110ordm

(D) 135ordm

(E) 130ordm

RESOLUCcedilAtildeO





180 = 90 + +

180 ndash 90 = +

90 = 2

902 =

45ordm =

Temos o seguinte

00000000000

00000000000 - DEMO






x + 45 = 90

x = 90 ndash 45

x = 45ordm




180 = 45 + 45 +

180 = 90 +

180 ndash 90 =

90ordm =


+ = 90 + 45 = 135ordm

RESPOSTA D




00000000000

00000000000 - DEMO






(A) 2

7

(B) 5

21

(C) 10

21

(D) 2

49

(E) 10

49

RESOLUCcedilAtildeO





de 27 x 56 = 17 x 53 = 521







enunciado





00000000000

00000000000 - DEMO







RESPOSTA C









(A) 040

(B) 036

(C) 032

(D) 030

(E) 028

RESPOSTA






eacute 160x025 = 040m3

RESPOSTA A






00000000000

00000000000 - DEMO







(A) 1

2

(B) 2

3

(C) 12

35

(D) 8

15

(E) 10

21

RESOLUCcedilAtildeO



P3 = Q5 = R7

Assim

P3 = R7

P = 3R7

Q5 = R7

Q = 5R7


Total = P + Q + R = 3R7 + 5R7 + R = 8R7 + 7R7 = 15R7


P + Q = 3R7 + 5R7 = 8R7



00000000000

00000000000 - DEMO









RESPOSTA D











(A) R$ 7200000

(B) R$ 8250000

(C) R$ 9400000

(D) R$ 11250000

(E) R$ 12000000

RESOLUCcedilAtildeO





300000 ------------- 22 + 28 + 30

Valor ------------ 22

00000000000

00000000000 - DEMO




300000 x 22 = Valor x 80

Valor = 82500 reais

RESPOSTA B







(A) 3

(B) 6

(C) 4

(D) 5

(E) 7

RESOLUCcedilAtildeO













menores

RESPOSTA D

00000000000

00000000000 - DEMO











(A) 23

(B) 78

(C) 14

(D) 38

(E) 98

RESOLUCcedilAtildeO



200 unidades ------------ 3E4

300 unidades ------------ N

200N = 300x3E4

2N = 3x3E4

2N = 9E4

N = 9E8





eacute




RESPOSTA B

00000000000

00000000000 - DEMO














(D) igual a 8

(E) maior que 13

RESOLUCcedilAtildeO



- 9 18 19 27 28 29 36 37 38 39




8cm3

RESPOSTA A




00000000000

00000000000 - DEMO





(A) 126

(B) 135

(C) 144

(D) 162

(E) 153

RESOLUCcedilAtildeO


medida igual a 10




102 = 62 + X2

100 = 36 + X2

64 = X2

8 = X


10

10

X

00000000000

00000000000 - DEMO







RESPOSTA C







(A) 5

(B) 6

(C) 4

(D) 7

(E) 3

RESOLUCcedilAtildeO






novamente 15




somem 15)


RESPOSTA B

00000000000

00000000000 - DEMO












(A) 128

(B) 130

(C) 137

(D) 140

(E) 145

RESOLUCcedilAtildeO





12 -------------- 87

100 ------------ V

12V = 10087

V = 100x8712

V = 725 votos

00000000000

00000000000 - DEMO







= 20


basta fazer


RESPOSTA E










(A) 33

(B) 19

(C) 24

(D) 15

(E) 23

RESOLUCcedilAtildeO



00000000000

00000000000 - DEMO










diagrama)


diagrama)

Ateacute aqui temos

00000000000

00000000000 - DEMO




Continuando






13)


D + F + G = 24

15 + G = 24

G = 9

D + G = 13

D + 9 = 13

D = 4

D + F = 15

4 + F = 15

F = 11

Ateacute aqui temos

00000000000

00000000000 - DEMO








RESPOSTA E










(A) 58

(B) 65

(C) 76

(D) 53

(E) 95

RESOLUCcedilAtildeO








00000000000

00000000000 - DEMO











diagrama temos

00000000000

00000000000 - DEMO






65

RESPOSTA B









(A) 36

(B) 54

(C) 58

(D) 56

(E) 48

RESOLUCcedilAtildeO

00000000000

00000000000 - DEMO
















2 x (90 + D) = 3 x (180 ndash D)

180 + 2D = 540 ndash 3D

D = 72 metros



3 metros -------------- 1 segundo


3t = 162

t = 54 segundos

RESPOSTA B



00000000000

00000000000 - DEMO






(A) 64

(B) 48

(C) 36

(D) 24

(E) 16

RESOLUCcedilAtildeO





4 x 4 x 4 = 43 = 64 dados

RESPOSTA A








00000000000

00000000000 - DEMO








RESOLUCcedilAtildeO






5

16F para a


sabemos que



3 1 5

16 10 16F F F F R

3 1 5

16 10 16F F F F R

160 30 16 50

160 160 160 160

FF F F R

64

160

FR

040F R

40F R



A esposa recebeu 5

03125 312516



00000000000

00000000000 - DEMO











Resposta C E E





igual a n









RESOLUCcedilAtildeO








00000000000

00000000000 - DEMO




220 = 22 x 5 x 11

284 = 22 x 71






amigos Item CORRETO











Resposta C C E C





retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2

RESOLUCcedilAtildeO



temos



40 = 2 x L + 2 x M

00000000000

00000000000 - DEMO




40 = 2 x (L + M)

40 2 = L + M

L + M = 20

M = 20 ndash L






Por outro lado


24 = 2 x (L + N)

24 2 = L + N

12 = L + N

00000000000

00000000000 - DEMO




N = 12 ndash L








(12 ndash L) = (13) x (20 ndash L)




163 = 2L3

16 = 2L

L = 162 = 8cm

Portanto





RESPOSTA D






A) 2

B) 4

00000000000

00000000000 - DEMO




C) 5

D) 8

E) 10

RESOLUCcedilAtildeO





simultaneamente




Probabilidade(A)



1Probabilidade(A)

5





Probabilidade(B)



1Probabilidade(B)

4








00000000000

00000000000 - DEMO





5 4


20



RESPOSTA C






A) 98

B) 112

C) 26

D) 66

E) 82

RESOLUCcedilAtildeO


Sabemos que


seguinte

5 114

8 5C C C

5 114

8 5C C C

40 25 814

40C


00000000000

00000000000 - DEMO






RESPOSTA D





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800

RESOLUCcedilAtildeO




Controle = 2P + 16




(2P+ 16) + 2P = 30

4P = 14

14 735

4 2P


RESPOSTA A

00000000000

00000000000 - DEMO







A) 6

B) 9

C) 12

D) 16

E) 25

RESOLUCcedilAtildeO




L = V ndash C






L = V ndash C

12 = V ndash 40

V = 52 reais






reais) Assim

L = V ndash C

-3 = V ndash 60

V = 57 reais



00000000000

00000000000 - DEMO








de 9

RESPOSTA B







de

A) 15 dias

B) 16 dias

C) 18 dias

D) 20 dias

E) 24 dias

RESOLUCcedilAtildeO





trabalho

15 7200 8

15 ndash 3 18000-7200 X

00000000000

00000000000 - DEMO








trabalho

15 7200 8

12 10800 X



trabalho

12 7200 8

15 10800 X


8 12 7200

15 10800

15

X

X dias

RESPOSTA A






00000000000

00000000000 - DEMO






A) 36

B) 72

C) 144

D) 216

E) 432

RESOLUCcedilAtildeO








3 a 3 C(43) = 4





classificado






00000000000

00000000000 - DEMO





fazendo 7 pontos

RESPOSTA E



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

RESOLUCcedilAtildeO




30 18 3

n 80 4







30 18 4

n 80 3


00000000000

00000000000 - DEMO




30 18 4

80 3n


30 18 4

80 3

30 80 3 18 4

30 80 3100

18 4

n

n

n


dias

RESPOSTA B





2 141

Entatildeo






RESOLUCcedilAtildeO

00000000000

00000000000 - DEMO







2520 metros



abaixo



90 90D

2 22 90D

22 90D

90 2D


90 141 1269D




RESPOSTA B



00000000000

00000000000 - DEMO









a) 10

b) 11

c) 15

d) 16

e) 24

RESOLUCcedilAtildeO














RESPOSTA B




mm do ponto A

00000000000

00000000000 - DEMO





(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

RESOLUCcedilAtildeO




AD = AB + BC + CD = 658


BD = BC + CD = 419


AC = AB + BC = 487


que

AB + BC + CD = 658

BC + CD = 419

Logo

AB + 419 = 658

AB = 239mm


AB + BC + CD = 658

AB + BC = 487

00000000000

00000000000 - DEMO




Logo

487 + CD = 658

CD = 171mm

Assim

AB + BC + CD = 658

239 + BC + 171 = 658

BC = 248mm

RESPOSTA E


Abraccedilo

Prof Arthur Lima

Periscope ARTHURRRL


00000000000 - DEMO



















a) 78

b) 76

c) 74

d) 72






00000000000

00000000000 - DEMO





em reais












a

a) 14

b) 18

c) 22

d) 28





a) 120

b) 240

c) 360

d) 480




00000000000

00000000000 - DEMO






(A) 90

(B) 84

(C) 82

(D) 80

(E) 78







a) 6

b) 7

c) 10

d) 14







(A) 3572200

(B) 820000

(C) 357720

(D) 35772

(E) 33220

00000000000

00000000000 - DEMO






a) 80

b) 100

c) 75

d) 25

e) 108








(A) 15

(B) 16

(C) 17

(D) 18

(E) 19





gramas a

(A) 338

(B) 208

(C) 200

(D) 182

(E) 220

00000000000

00000000000 - DEMO









(A) 15h 4 min

(B) 15h 15 min

(C) 15 h 24 min

(D) 15h 29 min

(E) 15 h 31 min





eacute igual a

(A) 125ordm

(B) 115ordm

(C) 110ordm

(D) 135ordm

(E) 130ordm






00000000000

00000000000 - DEMO




(A) 2

7

(B) 5

21

(C) 10

21

(D) 2

49

(E) 10

49









(A) 040

(B) 036

(C) 032

(D) 030

(E) 028









00000000000

00000000000 - DEMO




(A) 1

2

(B) 2

3

(C) 12

35

(D) 8

15

(E) 10

21











(A) R$ 7200000

(B) R$ 8250000

(C) R$ 9400000

(D) R$ 11250000

(E) R$ 12000000







00000000000

00000000000 - DEMO




(A) 3

(B) 6

(C) 4

(D) 5

(E) 7








(A) 23

(B) 78

(C) 14

(D) 38

(E) 98











(D) igual a 8

(E) maior que 13

00000000000

00000000000 - DEMO








(A) 126

(B) 135

(C) 144

(D) 162

(E) 153







(A) 5

(B) 6

(C) 4

(D) 7

(E) 3



00000000000

00000000000 - DEMO










(A) 128

(B) 130

(C) 137

(D) 140

(E) 145










(A) 33

(B) 19

(C) 24

00000000000

00000000000 - DEMO




(D) 15

(E) 23










(A) 58

(B) 65

(C) 76

(D) 53

(E) 95









(A) 36

(B) 54

(C) 58

(D) 56

(E) 48

00000000000

00000000000 - DEMO








(A) 64

(B) 48

(C) 36

(D) 24

(E) 16









00000000000

00000000000 - DEMO











igual a n













retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2






A) 2

B) 4

C) 5

D) 8

E) 10






A) 98

B) 112

C) 26

00000000000

00000000000 - DEMO




D) 66

E) 82





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800




A) 6

B) 9

C) 12

D) 16

E) 25







de

A) 15 dias

B) 16 dias

00000000000

00000000000 - DEMO




C) 18 dias

D) 20 dias

E) 24 dias








A) 36

B) 72

C) 144

D) 216

E) 432



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

00000000000

00000000000 - DEMO








2 141

Entatildeo













a) 10

b) 11

c) 15

d) 16

e) 24

00000000000

00000000000 - DEMO







mm do ponto A


(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

00000000000

00000000000 - DEMO




01 D 02 A 03 B 04 D 05 C 06 A 07 C

08 B 09 C 10 D 11 E 12 E 13 D 14 C

15 A 16 D 17 B 18 D 19 B 20 A 21 C

22 B 23 E 24 E 25 B 26 B 27 A 28 CEE

29 CCEC 30 D 31 C 32 D 33 A 34 B 35 A

36 E 37 B 38 B 39 B 40 E

00000000000

00000000000 - DEMO






















meus contatos






aplicativo

00000000000

00000000000 - DEMO











Data Aula








etc)













cobrados)



00000000000

00000000000 - DEMO










trigonometria etc


00000000000

00000000000 - DEMO

























RESOLUCcedilAtildeO



00000000000

00000000000 - DEMO



















RESPOSTA D





a) 78

b) 76

c) 74

d) 72

RESOLUCcedilAtildeO



H

00000000000

00000000000 - DEMO











leva a H = 26






RESPOSTA A







em reais






RESOLUCcedilAtildeO




00000000000

00000000000 - DEMO






RESPOSTA B







a

a) 14

b) 18

c) 22

d) 28

RESOLUCcedilAtildeO



frango e peixe




seja

F+X=3X

F=2X


P=12


54=P+F+X

54=12+2X+X

X=14

00000000000

00000000000 - DEMO





RESPOSTA D





a) 120

b) 240

c) 360

d) 480

RESOLUCcedilAtildeO






Logo N = 3 x 6 x 5 x 4 = 360

RESPOSTA C






(A) 90

(B) 84

(C) 82

(D) 80

(E) 78

RESOLUCcedilAtildeO

00000000000

00000000000 - DEMO









111 litros ------- 100km

1 litro ------------ N km

111xN = 1x100

N = 100 111

N = 90 km

RESPOSTA A







a) 6

b) 7

c) 10

d) 14

RESOLUCcedilAtildeO






5(X+8) ndash 5(X-3) =X

5X+40-5X+15=X

00000000000

00000000000 - DEMO




X=55



RESPOSTA C







(A) 3572200

(B) 820000

(C) 357720

(D) 35772

(E) 33220

RESOLUCcedilAtildeO


125m3 = 12500 litros

153m3 = 15300 litros


= 8200 litros

RESPOSTA B



a) 80

b) 100

c) 75

d) 25

00000000000

00000000000 - DEMO




e) 108

RESOLUCcedilAtildeO



forma

905

XX

590

5 5

X X

690

5

X

75X

RESPOSTA C








(A) 15

(B) 16

(C) 17

(D) 18

(E) 19

RESOLUCcedilAtildeO


latas Ou seja



00000000000

00000000000 - DEMO





Igualando os totais

14n + 16 = 20n ndash 8

16 + 8 = 20n ndash 14n

24 = 6n

n = 4 prateleiras



prateleira

RESPOSTA D





gramas a

(A) 338

(B) 208

(C) 200

(D) 182

(E) 220

RESOLUCcedilAtildeO







capacidade total

35 -------------- 182g

00000000000

00000000000 - DEMO




40 --------------- P

35xP = 40x182

P = 40x182 35

P = 040x182 035

P = 208g





RESPOSTA E






(A) 15h 4 min

(B) 15h 15 min

(C) 15 h 24 min

(D) 15h 29 min

(E) 15 h 31 min

RESOLUCcedilAtildeO






RESPOSTA E

00000000000

00000000000 - DEMO








eacute igual a

(A) 125ordm

(B) 115ordm

(C) 110ordm

(D) 135ordm

(E) 130ordm

RESOLUCcedilAtildeO





180 = 90 + +

180 ndash 90 = +

90 = 2

902 =

45ordm =

Temos o seguinte

00000000000

00000000000 - DEMO






x + 45 = 90

x = 90 ndash 45

x = 45ordm




180 = 45 + 45 +

180 = 90 +

180 ndash 90 =

90ordm =


+ = 90 + 45 = 135ordm

RESPOSTA D




00000000000

00000000000 - DEMO






(A) 2

7

(B) 5

21

(C) 10

21

(D) 2

49

(E) 10

49

RESOLUCcedilAtildeO





de 27 x 56 = 17 x 53 = 521







enunciado





00000000000

00000000000 - DEMO







RESPOSTA C









(A) 040

(B) 036

(C) 032

(D) 030

(E) 028

RESPOSTA






eacute 160x025 = 040m3

RESPOSTA A






00000000000

00000000000 - DEMO







(A) 1

2

(B) 2

3

(C) 12

35

(D) 8

15

(E) 10

21

RESOLUCcedilAtildeO



P3 = Q5 = R7

Assim

P3 = R7

P = 3R7

Q5 = R7

Q = 5R7


Total = P + Q + R = 3R7 + 5R7 + R = 8R7 + 7R7 = 15R7


P + Q = 3R7 + 5R7 = 8R7



00000000000

00000000000 - DEMO









RESPOSTA D











(A) R$ 7200000

(B) R$ 8250000

(C) R$ 9400000

(D) R$ 11250000

(E) R$ 12000000

RESOLUCcedilAtildeO





300000 ------------- 22 + 28 + 30

Valor ------------ 22

00000000000

00000000000 - DEMO




300000 x 22 = Valor x 80

Valor = 82500 reais

RESPOSTA B







(A) 3

(B) 6

(C) 4

(D) 5

(E) 7

RESOLUCcedilAtildeO













menores

RESPOSTA D

00000000000

00000000000 - DEMO











(A) 23

(B) 78

(C) 14

(D) 38

(E) 98

RESOLUCcedilAtildeO



200 unidades ------------ 3E4

300 unidades ------------ N

200N = 300x3E4

2N = 3x3E4

2N = 9E4

N = 9E8





eacute




RESPOSTA B

00000000000

00000000000 - DEMO














(D) igual a 8

(E) maior que 13

RESOLUCcedilAtildeO



- 9 18 19 27 28 29 36 37 38 39




8cm3

RESPOSTA A




00000000000

00000000000 - DEMO





(A) 126

(B) 135

(C) 144

(D) 162

(E) 153

RESOLUCcedilAtildeO


medida igual a 10




102 = 62 + X2

100 = 36 + X2

64 = X2

8 = X


10

10

X

00000000000

00000000000 - DEMO







RESPOSTA C







(A) 5

(B) 6

(C) 4

(D) 7

(E) 3

RESOLUCcedilAtildeO






novamente 15




somem 15)


RESPOSTA B

00000000000

00000000000 - DEMO












(A) 128

(B) 130

(C) 137

(D) 140

(E) 145

RESOLUCcedilAtildeO





12 -------------- 87

100 ------------ V

12V = 10087

V = 100x8712

V = 725 votos

00000000000

00000000000 - DEMO







= 20


basta fazer


RESPOSTA E










(A) 33

(B) 19

(C) 24

(D) 15

(E) 23

RESOLUCcedilAtildeO



00000000000

00000000000 - DEMO










diagrama)


diagrama)

Ateacute aqui temos

00000000000

00000000000 - DEMO




Continuando






13)


D + F + G = 24

15 + G = 24

G = 9

D + G = 13

D + 9 = 13

D = 4

D + F = 15

4 + F = 15

F = 11

Ateacute aqui temos

00000000000

00000000000 - DEMO








RESPOSTA E










(A) 58

(B) 65

(C) 76

(D) 53

(E) 95

RESOLUCcedilAtildeO








00000000000

00000000000 - DEMO











diagrama temos

00000000000

00000000000 - DEMO






65

RESPOSTA B









(A) 36

(B) 54

(C) 58

(D) 56

(E) 48

RESOLUCcedilAtildeO

00000000000

00000000000 - DEMO
















2 x (90 + D) = 3 x (180 ndash D)

180 + 2D = 540 ndash 3D

D = 72 metros



3 metros -------------- 1 segundo


3t = 162

t = 54 segundos

RESPOSTA B



00000000000

00000000000 - DEMO






(A) 64

(B) 48

(C) 36

(D) 24

(E) 16

RESOLUCcedilAtildeO





4 x 4 x 4 = 43 = 64 dados

RESPOSTA A








00000000000

00000000000 - DEMO








RESOLUCcedilAtildeO






5

16F para a


sabemos que



3 1 5

16 10 16F F F F R

3 1 5

16 10 16F F F F R

160 30 16 50

160 160 160 160

FF F F R

64

160

FR

040F R

40F R



A esposa recebeu 5

03125 312516



00000000000

00000000000 - DEMO











Resposta C E E





igual a n









RESOLUCcedilAtildeO








00000000000

00000000000 - DEMO




220 = 22 x 5 x 11

284 = 22 x 71






amigos Item CORRETO











Resposta C C E C





retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2

RESOLUCcedilAtildeO



temos



40 = 2 x L + 2 x M

00000000000

00000000000 - DEMO




40 = 2 x (L + M)

40 2 = L + M

L + M = 20

M = 20 ndash L






Por outro lado


24 = 2 x (L + N)

24 2 = L + N

12 = L + N

00000000000

00000000000 - DEMO




N = 12 ndash L








(12 ndash L) = (13) x (20 ndash L)




163 = 2L3

16 = 2L

L = 162 = 8cm

Portanto





RESPOSTA D






A) 2

B) 4

00000000000

00000000000 - DEMO




C) 5

D) 8

E) 10

RESOLUCcedilAtildeO





simultaneamente




Probabilidade(A)



1Probabilidade(A)

5





Probabilidade(B)



1Probabilidade(B)

4








00000000000

00000000000 - DEMO





5 4


20



RESPOSTA C






A) 98

B) 112

C) 26

D) 66

E) 82

RESOLUCcedilAtildeO


Sabemos que


seguinte

5 114

8 5C C C

5 114

8 5C C C

40 25 814

40C


00000000000

00000000000 - DEMO






RESPOSTA D





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800

RESOLUCcedilAtildeO




Controle = 2P + 16




(2P+ 16) + 2P = 30

4P = 14

14 735

4 2P


RESPOSTA A

00000000000

00000000000 - DEMO







A) 6

B) 9

C) 12

D) 16

E) 25

RESOLUCcedilAtildeO




L = V ndash C






L = V ndash C

12 = V ndash 40

V = 52 reais






reais) Assim

L = V ndash C

-3 = V ndash 60

V = 57 reais



00000000000

00000000000 - DEMO








de 9

RESPOSTA B







de

A) 15 dias

B) 16 dias

C) 18 dias

D) 20 dias

E) 24 dias

RESOLUCcedilAtildeO





trabalho

15 7200 8

15 ndash 3 18000-7200 X

00000000000

00000000000 - DEMO








trabalho

15 7200 8

12 10800 X



trabalho

12 7200 8

15 10800 X


8 12 7200

15 10800

15

X

X dias

RESPOSTA A






00000000000

00000000000 - DEMO






A) 36

B) 72

C) 144

D) 216

E) 432

RESOLUCcedilAtildeO








3 a 3 C(43) = 4





classificado






00000000000

00000000000 - DEMO





fazendo 7 pontos

RESPOSTA E



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

RESOLUCcedilAtildeO




30 18 3

n 80 4







30 18 4

n 80 3


00000000000

00000000000 - DEMO




30 18 4

80 3n


30 18 4

80 3

30 80 3 18 4

30 80 3100

18 4

n

n

n


dias

RESPOSTA B





2 141

Entatildeo






RESOLUCcedilAtildeO

00000000000

00000000000 - DEMO







2520 metros



abaixo



90 90D

2 22 90D

22 90D

90 2D


90 141 1269D




RESPOSTA B



00000000000

00000000000 - DEMO









a) 10

b) 11

c) 15

d) 16

e) 24

RESOLUCcedilAtildeO














RESPOSTA B




mm do ponto A

00000000000

00000000000 - DEMO





(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

RESOLUCcedilAtildeO




AD = AB + BC + CD = 658


BD = BC + CD = 419


AC = AB + BC = 487


que

AB + BC + CD = 658

BC + CD = 419

Logo

AB + 419 = 658

AB = 239mm


AB + BC + CD = 658

AB + BC = 487

00000000000

00000000000 - DEMO




Logo

487 + CD = 658

CD = 171mm

Assim

AB + BC + CD = 658

239 + BC + 171 = 658

BC = 248mm

RESPOSTA E


Abraccedilo

Prof Arthur Lima

Periscope ARTHURRRL


00000000000 - DEMO



















a) 78

b) 76

c) 74

d) 72






00000000000

00000000000 - DEMO





em reais












a

a) 14

b) 18

c) 22

d) 28





a) 120

b) 240

c) 360

d) 480




00000000000

00000000000 - DEMO






(A) 90

(B) 84

(C) 82

(D) 80

(E) 78







a) 6

b) 7

c) 10

d) 14







(A) 3572200

(B) 820000

(C) 357720

(D) 35772

(E) 33220

00000000000

00000000000 - DEMO






a) 80

b) 100

c) 75

d) 25

e) 108








(A) 15

(B) 16

(C) 17

(D) 18

(E) 19





gramas a

(A) 338

(B) 208

(C) 200

(D) 182

(E) 220

00000000000

00000000000 - DEMO









(A) 15h 4 min

(B) 15h 15 min

(C) 15 h 24 min

(D) 15h 29 min

(E) 15 h 31 min





eacute igual a

(A) 125ordm

(B) 115ordm

(C) 110ordm

(D) 135ordm

(E) 130ordm






00000000000

00000000000 - DEMO




(A) 2

7

(B) 5

21

(C) 10

21

(D) 2

49

(E) 10

49









(A) 040

(B) 036

(C) 032

(D) 030

(E) 028









00000000000

00000000000 - DEMO




(A) 1

2

(B) 2

3

(C) 12

35

(D) 8

15

(E) 10

21











(A) R$ 7200000

(B) R$ 8250000

(C) R$ 9400000

(D) R$ 11250000

(E) R$ 12000000







00000000000

00000000000 - DEMO




(A) 3

(B) 6

(C) 4

(D) 5

(E) 7








(A) 23

(B) 78

(C) 14

(D) 38

(E) 98











(D) igual a 8

(E) maior que 13

00000000000

00000000000 - DEMO








(A) 126

(B) 135

(C) 144

(D) 162

(E) 153







(A) 5

(B) 6

(C) 4

(D) 7

(E) 3



00000000000

00000000000 - DEMO










(A) 128

(B) 130

(C) 137

(D) 140

(E) 145










(A) 33

(B) 19

(C) 24

00000000000

00000000000 - DEMO




(D) 15

(E) 23










(A) 58

(B) 65

(C) 76

(D) 53

(E) 95









(A) 36

(B) 54

(C) 58

(D) 56

(E) 48

00000000000

00000000000 - DEMO








(A) 64

(B) 48

(C) 36

(D) 24

(E) 16









00000000000

00000000000 - DEMO











igual a n













retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2






A) 2

B) 4

C) 5

D) 8

E) 10






A) 98

B) 112

C) 26

00000000000

00000000000 - DEMO




D) 66

E) 82





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800




A) 6

B) 9

C) 12

D) 16

E) 25







de

A) 15 dias

B) 16 dias

00000000000

00000000000 - DEMO




C) 18 dias

D) 20 dias

E) 24 dias








A) 36

B) 72

C) 144

D) 216

E) 432



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

00000000000

00000000000 - DEMO








2 141

Entatildeo













a) 10

b) 11

c) 15

d) 16

e) 24

00000000000

00000000000 - DEMO







mm do ponto A


(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

00000000000

00000000000 - DEMO




01 D 02 A 03 B 04 D 05 C 06 A 07 C

08 B 09 C 10 D 11 E 12 E 13 D 14 C

15 A 16 D 17 B 18 D 19 B 20 A 21 C

22 B 23 E 24 E 25 B 26 B 27 A 28 CEE

29 CCEC 30 D 31 C 32 D 33 A 34 B 35 A

36 E 37 B 38 B 39 B 40 E

00000000000

00000000000 - DEMO











Data Aula








etc)













cobrados)



00000000000

00000000000 - DEMO










trigonometria etc


00000000000

00000000000 - DEMO

























RESOLUCcedilAtildeO



00000000000

00000000000 - DEMO



















RESPOSTA D





a) 78

b) 76

c) 74

d) 72

RESOLUCcedilAtildeO



H

00000000000

00000000000 - DEMO











leva a H = 26






RESPOSTA A







em reais






RESOLUCcedilAtildeO




00000000000

00000000000 - DEMO






RESPOSTA B







a

a) 14

b) 18

c) 22

d) 28

RESOLUCcedilAtildeO



frango e peixe




seja

F+X=3X

F=2X


P=12


54=P+F+X

54=12+2X+X

X=14

00000000000

00000000000 - DEMO





RESPOSTA D





a) 120

b) 240

c) 360

d) 480

RESOLUCcedilAtildeO






Logo N = 3 x 6 x 5 x 4 = 360

RESPOSTA C






(A) 90

(B) 84

(C) 82

(D) 80

(E) 78

RESOLUCcedilAtildeO

00000000000

00000000000 - DEMO









111 litros ------- 100km

1 litro ------------ N km

111xN = 1x100

N = 100 111

N = 90 km

RESPOSTA A







a) 6

b) 7

c) 10

d) 14

RESOLUCcedilAtildeO






5(X+8) ndash 5(X-3) =X

5X+40-5X+15=X

00000000000

00000000000 - DEMO




X=55



RESPOSTA C







(A) 3572200

(B) 820000

(C) 357720

(D) 35772

(E) 33220

RESOLUCcedilAtildeO


125m3 = 12500 litros

153m3 = 15300 litros


= 8200 litros

RESPOSTA B



a) 80

b) 100

c) 75

d) 25

00000000000

00000000000 - DEMO




e) 108

RESOLUCcedilAtildeO



forma

905

XX

590

5 5

X X

690

5

X

75X

RESPOSTA C








(A) 15

(B) 16

(C) 17

(D) 18

(E) 19

RESOLUCcedilAtildeO


latas Ou seja



00000000000

00000000000 - DEMO





Igualando os totais

14n + 16 = 20n ndash 8

16 + 8 = 20n ndash 14n

24 = 6n

n = 4 prateleiras



prateleira

RESPOSTA D





gramas a

(A) 338

(B) 208

(C) 200

(D) 182

(E) 220

RESOLUCcedilAtildeO







capacidade total

35 -------------- 182g

00000000000

00000000000 - DEMO




40 --------------- P

35xP = 40x182

P = 40x182 35

P = 040x182 035

P = 208g





RESPOSTA E






(A) 15h 4 min

(B) 15h 15 min

(C) 15 h 24 min

(D) 15h 29 min

(E) 15 h 31 min

RESOLUCcedilAtildeO






RESPOSTA E

00000000000

00000000000 - DEMO








eacute igual a

(A) 125ordm

(B) 115ordm

(C) 110ordm

(D) 135ordm

(E) 130ordm

RESOLUCcedilAtildeO





180 = 90 + +

180 ndash 90 = +

90 = 2

902 =

45ordm =

Temos o seguinte

00000000000

00000000000 - DEMO






x + 45 = 90

x = 90 ndash 45

x = 45ordm




180 = 45 + 45 +

180 = 90 +

180 ndash 90 =

90ordm =


+ = 90 + 45 = 135ordm

RESPOSTA D




00000000000

00000000000 - DEMO






(A) 2

7

(B) 5

21

(C) 10

21

(D) 2

49

(E) 10

49

RESOLUCcedilAtildeO





de 27 x 56 = 17 x 53 = 521







enunciado





00000000000

00000000000 - DEMO







RESPOSTA C









(A) 040

(B) 036

(C) 032

(D) 030

(E) 028

RESPOSTA






eacute 160x025 = 040m3

RESPOSTA A






00000000000

00000000000 - DEMO







(A) 1

2

(B) 2

3

(C) 12

35

(D) 8

15

(E) 10

21

RESOLUCcedilAtildeO



P3 = Q5 = R7

Assim

P3 = R7

P = 3R7

Q5 = R7

Q = 5R7


Total = P + Q + R = 3R7 + 5R7 + R = 8R7 + 7R7 = 15R7


P + Q = 3R7 + 5R7 = 8R7



00000000000

00000000000 - DEMO









RESPOSTA D











(A) R$ 7200000

(B) R$ 8250000

(C) R$ 9400000

(D) R$ 11250000

(E) R$ 12000000

RESOLUCcedilAtildeO





300000 ------------- 22 + 28 + 30

Valor ------------ 22

00000000000

00000000000 - DEMO




300000 x 22 = Valor x 80

Valor = 82500 reais

RESPOSTA B







(A) 3

(B) 6

(C) 4

(D) 5

(E) 7

RESOLUCcedilAtildeO













menores

RESPOSTA D

00000000000

00000000000 - DEMO











(A) 23

(B) 78

(C) 14

(D) 38

(E) 98

RESOLUCcedilAtildeO



200 unidades ------------ 3E4

300 unidades ------------ N

200N = 300x3E4

2N = 3x3E4

2N = 9E4

N = 9E8





eacute




RESPOSTA B

00000000000

00000000000 - DEMO














(D) igual a 8

(E) maior que 13

RESOLUCcedilAtildeO



- 9 18 19 27 28 29 36 37 38 39




8cm3

RESPOSTA A




00000000000

00000000000 - DEMO





(A) 126

(B) 135

(C) 144

(D) 162

(E) 153

RESOLUCcedilAtildeO


medida igual a 10




102 = 62 + X2

100 = 36 + X2

64 = X2

8 = X


10

10

X

00000000000

00000000000 - DEMO







RESPOSTA C







(A) 5

(B) 6

(C) 4

(D) 7

(E) 3

RESOLUCcedilAtildeO






novamente 15




somem 15)


RESPOSTA B

00000000000

00000000000 - DEMO












(A) 128

(B) 130

(C) 137

(D) 140

(E) 145

RESOLUCcedilAtildeO





12 -------------- 87

100 ------------ V

12V = 10087

V = 100x8712

V = 725 votos

00000000000

00000000000 - DEMO







= 20


basta fazer


RESPOSTA E










(A) 33

(B) 19

(C) 24

(D) 15

(E) 23

RESOLUCcedilAtildeO



00000000000

00000000000 - DEMO










diagrama)


diagrama)

Ateacute aqui temos

00000000000

00000000000 - DEMO




Continuando






13)


D + F + G = 24

15 + G = 24

G = 9

D + G = 13

D + 9 = 13

D = 4

D + F = 15

4 + F = 15

F = 11

Ateacute aqui temos

00000000000

00000000000 - DEMO








RESPOSTA E










(A) 58

(B) 65

(C) 76

(D) 53

(E) 95

RESOLUCcedilAtildeO








00000000000

00000000000 - DEMO











diagrama temos

00000000000

00000000000 - DEMO






65

RESPOSTA B









(A) 36

(B) 54

(C) 58

(D) 56

(E) 48

RESOLUCcedilAtildeO

00000000000

00000000000 - DEMO
















2 x (90 + D) = 3 x (180 ndash D)

180 + 2D = 540 ndash 3D

D = 72 metros



3 metros -------------- 1 segundo


3t = 162

t = 54 segundos

RESPOSTA B



00000000000

00000000000 - DEMO






(A) 64

(B) 48

(C) 36

(D) 24

(E) 16

RESOLUCcedilAtildeO





4 x 4 x 4 = 43 = 64 dados

RESPOSTA A








00000000000

00000000000 - DEMO








RESOLUCcedilAtildeO






5

16F para a


sabemos que



3 1 5

16 10 16F F F F R

3 1 5

16 10 16F F F F R

160 30 16 50

160 160 160 160

FF F F R

64

160

FR

040F R

40F R



A esposa recebeu 5

03125 312516



00000000000

00000000000 - DEMO











Resposta C E E





igual a n









RESOLUCcedilAtildeO








00000000000

00000000000 - DEMO




220 = 22 x 5 x 11

284 = 22 x 71






amigos Item CORRETO











Resposta C C E C





retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2

RESOLUCcedilAtildeO



temos



40 = 2 x L + 2 x M

00000000000

00000000000 - DEMO




40 = 2 x (L + M)

40 2 = L + M

L + M = 20

M = 20 ndash L






Por outro lado


24 = 2 x (L + N)

24 2 = L + N

12 = L + N

00000000000

00000000000 - DEMO




N = 12 ndash L








(12 ndash L) = (13) x (20 ndash L)




163 = 2L3

16 = 2L

L = 162 = 8cm

Portanto





RESPOSTA D






A) 2

B) 4

00000000000

00000000000 - DEMO




C) 5

D) 8

E) 10

RESOLUCcedilAtildeO





simultaneamente




Probabilidade(A)



1Probabilidade(A)

5





Probabilidade(B)



1Probabilidade(B)

4








00000000000

00000000000 - DEMO





5 4


20



RESPOSTA C






A) 98

B) 112

C) 26

D) 66

E) 82

RESOLUCcedilAtildeO


Sabemos que


seguinte

5 114

8 5C C C

5 114

8 5C C C

40 25 814

40C


00000000000

00000000000 - DEMO






RESPOSTA D





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800

RESOLUCcedilAtildeO




Controle = 2P + 16




(2P+ 16) + 2P = 30

4P = 14

14 735

4 2P


RESPOSTA A

00000000000

00000000000 - DEMO







A) 6

B) 9

C) 12

D) 16

E) 25

RESOLUCcedilAtildeO




L = V ndash C






L = V ndash C

12 = V ndash 40

V = 52 reais






reais) Assim

L = V ndash C

-3 = V ndash 60

V = 57 reais



00000000000

00000000000 - DEMO








de 9

RESPOSTA B







de

A) 15 dias

B) 16 dias

C) 18 dias

D) 20 dias

E) 24 dias

RESOLUCcedilAtildeO





trabalho

15 7200 8

15 ndash 3 18000-7200 X

00000000000

00000000000 - DEMO








trabalho

15 7200 8

12 10800 X



trabalho

12 7200 8

15 10800 X


8 12 7200

15 10800

15

X

X dias

RESPOSTA A






00000000000

00000000000 - DEMO






A) 36

B) 72

C) 144

D) 216

E) 432

RESOLUCcedilAtildeO








3 a 3 C(43) = 4





classificado






00000000000

00000000000 - DEMO





fazendo 7 pontos

RESPOSTA E



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

RESOLUCcedilAtildeO




30 18 3

n 80 4







30 18 4

n 80 3


00000000000

00000000000 - DEMO




30 18 4

80 3n


30 18 4

80 3

30 80 3 18 4

30 80 3100

18 4

n

n

n


dias

RESPOSTA B





2 141

Entatildeo






RESOLUCcedilAtildeO

00000000000

00000000000 - DEMO







2520 metros



abaixo



90 90D

2 22 90D

22 90D

90 2D


90 141 1269D




RESPOSTA B



00000000000

00000000000 - DEMO









a) 10

b) 11

c) 15

d) 16

e) 24

RESOLUCcedilAtildeO














RESPOSTA B




mm do ponto A

00000000000

00000000000 - DEMO





(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

RESOLUCcedilAtildeO




AD = AB + BC + CD = 658


BD = BC + CD = 419


AC = AB + BC = 487


que

AB + BC + CD = 658

BC + CD = 419

Logo

AB + 419 = 658

AB = 239mm


AB + BC + CD = 658

AB + BC = 487

00000000000

00000000000 - DEMO




Logo

487 + CD = 658

CD = 171mm

Assim

AB + BC + CD = 658

239 + BC + 171 = 658

BC = 248mm

RESPOSTA E


Abraccedilo

Prof Arthur Lima

Periscope ARTHURRRL


00000000000 - DEMO



















a) 78

b) 76

c) 74

d) 72






00000000000

00000000000 - DEMO





em reais












a

a) 14

b) 18

c) 22

d) 28





a) 120

b) 240

c) 360

d) 480




00000000000

00000000000 - DEMO






(A) 90

(B) 84

(C) 82

(D) 80

(E) 78







a) 6

b) 7

c) 10

d) 14







(A) 3572200

(B) 820000

(C) 357720

(D) 35772

(E) 33220

00000000000

00000000000 - DEMO






a) 80

b) 100

c) 75

d) 25

e) 108








(A) 15

(B) 16

(C) 17

(D) 18

(E) 19





gramas a

(A) 338

(B) 208

(C) 200

(D) 182

(E) 220

00000000000

00000000000 - DEMO









(A) 15h 4 min

(B) 15h 15 min

(C) 15 h 24 min

(D) 15h 29 min

(E) 15 h 31 min





eacute igual a

(A) 125ordm

(B) 115ordm

(C) 110ordm

(D) 135ordm

(E) 130ordm






00000000000

00000000000 - DEMO




(A) 2

7

(B) 5

21

(C) 10

21

(D) 2

49

(E) 10

49









(A) 040

(B) 036

(C) 032

(D) 030

(E) 028









00000000000

00000000000 - DEMO




(A) 1

2

(B) 2

3

(C) 12

35

(D) 8

15

(E) 10

21











(A) R$ 7200000

(B) R$ 8250000

(C) R$ 9400000

(D) R$ 11250000

(E) R$ 12000000







00000000000

00000000000 - DEMO




(A) 3

(B) 6

(C) 4

(D) 5

(E) 7








(A) 23

(B) 78

(C) 14

(D) 38

(E) 98











(D) igual a 8

(E) maior que 13

00000000000

00000000000 - DEMO








(A) 126

(B) 135

(C) 144

(D) 162

(E) 153







(A) 5

(B) 6

(C) 4

(D) 7

(E) 3



00000000000

00000000000 - DEMO










(A) 128

(B) 130

(C) 137

(D) 140

(E) 145










(A) 33

(B) 19

(C) 24

00000000000

00000000000 - DEMO




(D) 15

(E) 23










(A) 58

(B) 65

(C) 76

(D) 53

(E) 95









(A) 36

(B) 54

(C) 58

(D) 56

(E) 48

00000000000

00000000000 - DEMO








(A) 64

(B) 48

(C) 36

(D) 24

(E) 16









00000000000

00000000000 - DEMO











igual a n













retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2






A) 2

B) 4

C) 5

D) 8

E) 10






A) 98

B) 112

C) 26

00000000000

00000000000 - DEMO




D) 66

E) 82





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800




A) 6

B) 9

C) 12

D) 16

E) 25







de

A) 15 dias

B) 16 dias

00000000000

00000000000 - DEMO




C) 18 dias

D) 20 dias

E) 24 dias








A) 36

B) 72

C) 144

D) 216

E) 432



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

00000000000

00000000000 - DEMO








2 141

Entatildeo













a) 10

b) 11

c) 15

d) 16

e) 24

00000000000

00000000000 - DEMO







mm do ponto A


(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

00000000000

00000000000 - DEMO




01 D 02 A 03 B 04 D 05 C 06 A 07 C

08 B 09 C 10 D 11 E 12 E 13 D 14 C

15 A 16 D 17 B 18 D 19 B 20 A 21 C

22 B 23 E 24 E 25 B 26 B 27 A 28 CEE

29 CCEC 30 D 31 C 32 D 33 A 34 B 35 A

36 E 37 B 38 B 39 B 40 E

00000000000

00000000000 - DEMO










trigonometria etc


00000000000

00000000000 - DEMO

























RESOLUCcedilAtildeO



00000000000

00000000000 - DEMO



















RESPOSTA D





a) 78

b) 76

c) 74

d) 72

RESOLUCcedilAtildeO



H

00000000000

00000000000 - DEMO











leva a H = 26






RESPOSTA A







em reais






RESOLUCcedilAtildeO




00000000000

00000000000 - DEMO






RESPOSTA B







a

a) 14

b) 18

c) 22

d) 28

RESOLUCcedilAtildeO



frango e peixe




seja

F+X=3X

F=2X


P=12


54=P+F+X

54=12+2X+X

X=14

00000000000

00000000000 - DEMO





RESPOSTA D





a) 120

b) 240

c) 360

d) 480

RESOLUCcedilAtildeO






Logo N = 3 x 6 x 5 x 4 = 360

RESPOSTA C






(A) 90

(B) 84

(C) 82

(D) 80

(E) 78

RESOLUCcedilAtildeO

00000000000

00000000000 - DEMO









111 litros ------- 100km

1 litro ------------ N km

111xN = 1x100

N = 100 111

N = 90 km

RESPOSTA A







a) 6

b) 7

c) 10

d) 14

RESOLUCcedilAtildeO






5(X+8) ndash 5(X-3) =X

5X+40-5X+15=X

00000000000

00000000000 - DEMO




X=55



RESPOSTA C







(A) 3572200

(B) 820000

(C) 357720

(D) 35772

(E) 33220

RESOLUCcedilAtildeO


125m3 = 12500 litros

153m3 = 15300 litros


= 8200 litros

RESPOSTA B



a) 80

b) 100

c) 75

d) 25

00000000000

00000000000 - DEMO




e) 108

RESOLUCcedilAtildeO



forma

905

XX

590

5 5

X X

690

5

X

75X

RESPOSTA C








(A) 15

(B) 16

(C) 17

(D) 18

(E) 19

RESOLUCcedilAtildeO


latas Ou seja



00000000000

00000000000 - DEMO





Igualando os totais

14n + 16 = 20n ndash 8

16 + 8 = 20n ndash 14n

24 = 6n

n = 4 prateleiras



prateleira

RESPOSTA D





gramas a

(A) 338

(B) 208

(C) 200

(D) 182

(E) 220

RESOLUCcedilAtildeO







capacidade total

35 -------------- 182g

00000000000

00000000000 - DEMO




40 --------------- P

35xP = 40x182

P = 40x182 35

P = 040x182 035

P = 208g





RESPOSTA E






(A) 15h 4 min

(B) 15h 15 min

(C) 15 h 24 min

(D) 15h 29 min

(E) 15 h 31 min

RESOLUCcedilAtildeO






RESPOSTA E

00000000000

00000000000 - DEMO








eacute igual a

(A) 125ordm

(B) 115ordm

(C) 110ordm

(D) 135ordm

(E) 130ordm

RESOLUCcedilAtildeO





180 = 90 + +

180 ndash 90 = +

90 = 2

902 =

45ordm =

Temos o seguinte

00000000000

00000000000 - DEMO






x + 45 = 90

x = 90 ndash 45

x = 45ordm




180 = 45 + 45 +

180 = 90 +

180 ndash 90 =

90ordm =


+ = 90 + 45 = 135ordm

RESPOSTA D




00000000000

00000000000 - DEMO






(A) 2

7

(B) 5

21

(C) 10

21

(D) 2

49

(E) 10

49

RESOLUCcedilAtildeO





de 27 x 56 = 17 x 53 = 521







enunciado





00000000000

00000000000 - DEMO







RESPOSTA C









(A) 040

(B) 036

(C) 032

(D) 030

(E) 028

RESPOSTA






eacute 160x025 = 040m3

RESPOSTA A






00000000000

00000000000 - DEMO







(A) 1

2

(B) 2

3

(C) 12

35

(D) 8

15

(E) 10

21

RESOLUCcedilAtildeO



P3 = Q5 = R7

Assim

P3 = R7

P = 3R7

Q5 = R7

Q = 5R7


Total = P + Q + R = 3R7 + 5R7 + R = 8R7 + 7R7 = 15R7


P + Q = 3R7 + 5R7 = 8R7



00000000000

00000000000 - DEMO









RESPOSTA D











(A) R$ 7200000

(B) R$ 8250000

(C) R$ 9400000

(D) R$ 11250000

(E) R$ 12000000

RESOLUCcedilAtildeO





300000 ------------- 22 + 28 + 30

Valor ------------ 22

00000000000

00000000000 - DEMO




300000 x 22 = Valor x 80

Valor = 82500 reais

RESPOSTA B







(A) 3

(B) 6

(C) 4

(D) 5

(E) 7

RESOLUCcedilAtildeO













menores

RESPOSTA D

00000000000

00000000000 - DEMO











(A) 23

(B) 78

(C) 14

(D) 38

(E) 98

RESOLUCcedilAtildeO



200 unidades ------------ 3E4

300 unidades ------------ N

200N = 300x3E4

2N = 3x3E4

2N = 9E4

N = 9E8





eacute




RESPOSTA B

00000000000

00000000000 - DEMO














(D) igual a 8

(E) maior que 13

RESOLUCcedilAtildeO



- 9 18 19 27 28 29 36 37 38 39




8cm3

RESPOSTA A




00000000000

00000000000 - DEMO





(A) 126

(B) 135

(C) 144

(D) 162

(E) 153

RESOLUCcedilAtildeO


medida igual a 10




102 = 62 + X2

100 = 36 + X2

64 = X2

8 = X


10

10

X

00000000000

00000000000 - DEMO







RESPOSTA C







(A) 5

(B) 6

(C) 4

(D) 7

(E) 3

RESOLUCcedilAtildeO






novamente 15




somem 15)


RESPOSTA B

00000000000

00000000000 - DEMO












(A) 128

(B) 130

(C) 137

(D) 140

(E) 145

RESOLUCcedilAtildeO





12 -------------- 87

100 ------------ V

12V = 10087

V = 100x8712

V = 725 votos

00000000000

00000000000 - DEMO







= 20


basta fazer


RESPOSTA E










(A) 33

(B) 19

(C) 24

(D) 15

(E) 23

RESOLUCcedilAtildeO



00000000000

00000000000 - DEMO










diagrama)


diagrama)

Ateacute aqui temos

00000000000

00000000000 - DEMO




Continuando






13)


D + F + G = 24

15 + G = 24

G = 9

D + G = 13

D + 9 = 13

D = 4

D + F = 15

4 + F = 15

F = 11

Ateacute aqui temos

00000000000

00000000000 - DEMO








RESPOSTA E










(A) 58

(B) 65

(C) 76

(D) 53

(E) 95

RESOLUCcedilAtildeO








00000000000

00000000000 - DEMO











diagrama temos

00000000000

00000000000 - DEMO






65

RESPOSTA B









(A) 36

(B) 54

(C) 58

(D) 56

(E) 48

RESOLUCcedilAtildeO

00000000000

00000000000 - DEMO
















2 x (90 + D) = 3 x (180 ndash D)

180 + 2D = 540 ndash 3D

D = 72 metros



3 metros -------------- 1 segundo


3t = 162

t = 54 segundos

RESPOSTA B



00000000000

00000000000 - DEMO






(A) 64

(B) 48

(C) 36

(D) 24

(E) 16

RESOLUCcedilAtildeO





4 x 4 x 4 = 43 = 64 dados

RESPOSTA A








00000000000

00000000000 - DEMO








RESOLUCcedilAtildeO






5

16F para a


sabemos que



3 1 5

16 10 16F F F F R

3 1 5

16 10 16F F F F R

160 30 16 50

160 160 160 160

FF F F R

64

160

FR

040F R

40F R



A esposa recebeu 5

03125 312516



00000000000

00000000000 - DEMO











Resposta C E E





igual a n









RESOLUCcedilAtildeO








00000000000

00000000000 - DEMO




220 = 22 x 5 x 11

284 = 22 x 71






amigos Item CORRETO











Resposta C C E C





retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2

RESOLUCcedilAtildeO



temos



40 = 2 x L + 2 x M

00000000000

00000000000 - DEMO




40 = 2 x (L + M)

40 2 = L + M

L + M = 20

M = 20 ndash L






Por outro lado


24 = 2 x (L + N)

24 2 = L + N

12 = L + N

00000000000

00000000000 - DEMO




N = 12 ndash L








(12 ndash L) = (13) x (20 ndash L)




163 = 2L3

16 = 2L

L = 162 = 8cm

Portanto





RESPOSTA D






A) 2

B) 4

00000000000

00000000000 - DEMO




C) 5

D) 8

E) 10

RESOLUCcedilAtildeO





simultaneamente




Probabilidade(A)



1Probabilidade(A)

5





Probabilidade(B)



1Probabilidade(B)

4








00000000000

00000000000 - DEMO





5 4


20



RESPOSTA C






A) 98

B) 112

C) 26

D) 66

E) 82

RESOLUCcedilAtildeO


Sabemos que


seguinte

5 114

8 5C C C

5 114

8 5C C C

40 25 814

40C


00000000000

00000000000 - DEMO






RESPOSTA D





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800

RESOLUCcedilAtildeO




Controle = 2P + 16




(2P+ 16) + 2P = 30

4P = 14

14 735

4 2P


RESPOSTA A

00000000000

00000000000 - DEMO







A) 6

B) 9

C) 12

D) 16

E) 25

RESOLUCcedilAtildeO




L = V ndash C






L = V ndash C

12 = V ndash 40

V = 52 reais






reais) Assim

L = V ndash C

-3 = V ndash 60

V = 57 reais



00000000000

00000000000 - DEMO








de 9

RESPOSTA B







de

A) 15 dias

B) 16 dias

C) 18 dias

D) 20 dias

E) 24 dias

RESOLUCcedilAtildeO





trabalho

15 7200 8

15 ndash 3 18000-7200 X

00000000000

00000000000 - DEMO








trabalho

15 7200 8

12 10800 X



trabalho

12 7200 8

15 10800 X


8 12 7200

15 10800

15

X

X dias

RESPOSTA A






00000000000

00000000000 - DEMO






A) 36

B) 72

C) 144

D) 216

E) 432

RESOLUCcedilAtildeO








3 a 3 C(43) = 4





classificado






00000000000

00000000000 - DEMO





fazendo 7 pontos

RESPOSTA E



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

RESOLUCcedilAtildeO




30 18 3

n 80 4







30 18 4

n 80 3


00000000000

00000000000 - DEMO




30 18 4

80 3n


30 18 4

80 3

30 80 3 18 4

30 80 3100

18 4

n

n

n


dias

RESPOSTA B





2 141

Entatildeo






RESOLUCcedilAtildeO

00000000000

00000000000 - DEMO







2520 metros



abaixo



90 90D

2 22 90D

22 90D

90 2D


90 141 1269D




RESPOSTA B



00000000000

00000000000 - DEMO









a) 10

b) 11

c) 15

d) 16

e) 24

RESOLUCcedilAtildeO














RESPOSTA B




mm do ponto A

00000000000

00000000000 - DEMO





(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

RESOLUCcedilAtildeO




AD = AB + BC + CD = 658


BD = BC + CD = 419


AC = AB + BC = 487


que

AB + BC + CD = 658

BC + CD = 419

Logo

AB + 419 = 658

AB = 239mm


AB + BC + CD = 658

AB + BC = 487

00000000000

00000000000 - DEMO




Logo

487 + CD = 658

CD = 171mm

Assim

AB + BC + CD = 658

239 + BC + 171 = 658

BC = 248mm

RESPOSTA E


Abraccedilo

Prof Arthur Lima

Periscope ARTHURRRL


00000000000 - DEMO



















a) 78

b) 76

c) 74

d) 72






00000000000

00000000000 - DEMO





em reais












a

a) 14

b) 18

c) 22

d) 28





a) 120

b) 240

c) 360

d) 480




00000000000

00000000000 - DEMO






(A) 90

(B) 84

(C) 82

(D) 80

(E) 78







a) 6

b) 7

c) 10

d) 14







(A) 3572200

(B) 820000

(C) 357720

(D) 35772

(E) 33220

00000000000

00000000000 - DEMO






a) 80

b) 100

c) 75

d) 25

e) 108








(A) 15

(B) 16

(C) 17

(D) 18

(E) 19





gramas a

(A) 338

(B) 208

(C) 200

(D) 182

(E) 220

00000000000

00000000000 - DEMO









(A) 15h 4 min

(B) 15h 15 min

(C) 15 h 24 min

(D) 15h 29 min

(E) 15 h 31 min





eacute igual a

(A) 125ordm

(B) 115ordm

(C) 110ordm

(D) 135ordm

(E) 130ordm






00000000000

00000000000 - DEMO




(A) 2

7

(B) 5

21

(C) 10

21

(D) 2

49

(E) 10

49









(A) 040

(B) 036

(C) 032

(D) 030

(E) 028









00000000000

00000000000 - DEMO




(A) 1

2

(B) 2

3

(C) 12

35

(D) 8

15

(E) 10

21











(A) R$ 7200000

(B) R$ 8250000

(C) R$ 9400000

(D) R$ 11250000

(E) R$ 12000000







00000000000

00000000000 - DEMO




(A) 3

(B) 6

(C) 4

(D) 5

(E) 7








(A) 23

(B) 78

(C) 14

(D) 38

(E) 98











(D) igual a 8

(E) maior que 13

00000000000

00000000000 - DEMO








(A) 126

(B) 135

(C) 144

(D) 162

(E) 153







(A) 5

(B) 6

(C) 4

(D) 7

(E) 3



00000000000

00000000000 - DEMO










(A) 128

(B) 130

(C) 137

(D) 140

(E) 145










(A) 33

(B) 19

(C) 24

00000000000

00000000000 - DEMO




(D) 15

(E) 23










(A) 58

(B) 65

(C) 76

(D) 53

(E) 95









(A) 36

(B) 54

(C) 58

(D) 56

(E) 48

00000000000

00000000000 - DEMO








(A) 64

(B) 48

(C) 36

(D) 24

(E) 16









00000000000

00000000000 - DEMO











igual a n













retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2






A) 2

B) 4

C) 5

D) 8

E) 10






A) 98

B) 112

C) 26

00000000000

00000000000 - DEMO




D) 66

E) 82





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800




A) 6

B) 9

C) 12

D) 16

E) 25







de

A) 15 dias

B) 16 dias

00000000000

00000000000 - DEMO




C) 18 dias

D) 20 dias

E) 24 dias








A) 36

B) 72

C) 144

D) 216

E) 432



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

00000000000

00000000000 - DEMO








2 141

Entatildeo













a) 10

b) 11

c) 15

d) 16

e) 24

00000000000

00000000000 - DEMO







mm do ponto A


(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

00000000000

00000000000 - DEMO




01 D 02 A 03 B 04 D 05 C 06 A 07 C

08 B 09 C 10 D 11 E 12 E 13 D 14 C

15 A 16 D 17 B 18 D 19 B 20 A 21 C

22 B 23 E 24 E 25 B 26 B 27 A 28 CEE

29 CCEC 30 D 31 C 32 D 33 A 34 B 35 A

36 E 37 B 38 B 39 B 40 E

00000000000

00000000000 - DEMO

























RESOLUCcedilAtildeO



00000000000

00000000000 - DEMO



















RESPOSTA D





a) 78

b) 76

c) 74

d) 72

RESOLUCcedilAtildeO



H

00000000000

00000000000 - DEMO











leva a H = 26






RESPOSTA A







em reais






RESOLUCcedilAtildeO




00000000000

00000000000 - DEMO






RESPOSTA B







a

a) 14

b) 18

c) 22

d) 28

RESOLUCcedilAtildeO



frango e peixe




seja

F+X=3X

F=2X


P=12


54=P+F+X

54=12+2X+X

X=14

00000000000

00000000000 - DEMO





RESPOSTA D





a) 120

b) 240

c) 360

d) 480

RESOLUCcedilAtildeO






Logo N = 3 x 6 x 5 x 4 = 360

RESPOSTA C






(A) 90

(B) 84

(C) 82

(D) 80

(E) 78

RESOLUCcedilAtildeO

00000000000

00000000000 - DEMO









111 litros ------- 100km

1 litro ------------ N km

111xN = 1x100

N = 100 111

N = 90 km

RESPOSTA A







a) 6

b) 7

c) 10

d) 14

RESOLUCcedilAtildeO






5(X+8) ndash 5(X-3) =X

5X+40-5X+15=X

00000000000

00000000000 - DEMO




X=55



RESPOSTA C







(A) 3572200

(B) 820000

(C) 357720

(D) 35772

(E) 33220

RESOLUCcedilAtildeO


125m3 = 12500 litros

153m3 = 15300 litros


= 8200 litros

RESPOSTA B



a) 80

b) 100

c) 75

d) 25

00000000000

00000000000 - DEMO




e) 108

RESOLUCcedilAtildeO



forma

905

XX

590

5 5

X X

690

5

X

75X

RESPOSTA C








(A) 15

(B) 16

(C) 17

(D) 18

(E) 19

RESOLUCcedilAtildeO


latas Ou seja



00000000000

00000000000 - DEMO





Igualando os totais

14n + 16 = 20n ndash 8

16 + 8 = 20n ndash 14n

24 = 6n

n = 4 prateleiras



prateleira

RESPOSTA D





gramas a

(A) 338

(B) 208

(C) 200

(D) 182

(E) 220

RESOLUCcedilAtildeO







capacidade total

35 -------------- 182g

00000000000

00000000000 - DEMO




40 --------------- P

35xP = 40x182

P = 40x182 35

P = 040x182 035

P = 208g





RESPOSTA E






(A) 15h 4 min

(B) 15h 15 min

(C) 15 h 24 min

(D) 15h 29 min

(E) 15 h 31 min

RESOLUCcedilAtildeO






RESPOSTA E

00000000000

00000000000 - DEMO








eacute igual a

(A) 125ordm

(B) 115ordm

(C) 110ordm

(D) 135ordm

(E) 130ordm

RESOLUCcedilAtildeO





180 = 90 + +

180 ndash 90 = +

90 = 2

902 =

45ordm =

Temos o seguinte

00000000000

00000000000 - DEMO






x + 45 = 90

x = 90 ndash 45

x = 45ordm




180 = 45 + 45 +

180 = 90 +

180 ndash 90 =

90ordm =


+ = 90 + 45 = 135ordm

RESPOSTA D




00000000000

00000000000 - DEMO






(A) 2

7

(B) 5

21

(C) 10

21

(D) 2

49

(E) 10

49

RESOLUCcedilAtildeO





de 27 x 56 = 17 x 53 = 521







enunciado





00000000000

00000000000 - DEMO







RESPOSTA C









(A) 040

(B) 036

(C) 032

(D) 030

(E) 028

RESPOSTA






eacute 160x025 = 040m3

RESPOSTA A






00000000000

00000000000 - DEMO







(A) 1

2

(B) 2

3

(C) 12

35

(D) 8

15

(E) 10

21

RESOLUCcedilAtildeO



P3 = Q5 = R7

Assim

P3 = R7

P = 3R7

Q5 = R7

Q = 5R7


Total = P + Q + R = 3R7 + 5R7 + R = 8R7 + 7R7 = 15R7


P + Q = 3R7 + 5R7 = 8R7



00000000000

00000000000 - DEMO









RESPOSTA D











(A) R$ 7200000

(B) R$ 8250000

(C) R$ 9400000

(D) R$ 11250000

(E) R$ 12000000

RESOLUCcedilAtildeO





300000 ------------- 22 + 28 + 30

Valor ------------ 22

00000000000

00000000000 - DEMO




300000 x 22 = Valor x 80

Valor = 82500 reais

RESPOSTA B







(A) 3

(B) 6

(C) 4

(D) 5

(E) 7

RESOLUCcedilAtildeO













menores

RESPOSTA D

00000000000

00000000000 - DEMO











(A) 23

(B) 78

(C) 14

(D) 38

(E) 98

RESOLUCcedilAtildeO



200 unidades ------------ 3E4

300 unidades ------------ N

200N = 300x3E4

2N = 3x3E4

2N = 9E4

N = 9E8





eacute




RESPOSTA B

00000000000

00000000000 - DEMO














(D) igual a 8

(E) maior que 13

RESOLUCcedilAtildeO



- 9 18 19 27 28 29 36 37 38 39




8cm3

RESPOSTA A




00000000000

00000000000 - DEMO





(A) 126

(B) 135

(C) 144

(D) 162

(E) 153

RESOLUCcedilAtildeO


medida igual a 10




102 = 62 + X2

100 = 36 + X2

64 = X2

8 = X


10

10

X

00000000000

00000000000 - DEMO







RESPOSTA C







(A) 5

(B) 6

(C) 4

(D) 7

(E) 3

RESOLUCcedilAtildeO






novamente 15




somem 15)


RESPOSTA B

00000000000

00000000000 - DEMO












(A) 128

(B) 130

(C) 137

(D) 140

(E) 145

RESOLUCcedilAtildeO





12 -------------- 87

100 ------------ V

12V = 10087

V = 100x8712

V = 725 votos

00000000000

00000000000 - DEMO







= 20


basta fazer


RESPOSTA E










(A) 33

(B) 19

(C) 24

(D) 15

(E) 23

RESOLUCcedilAtildeO



00000000000

00000000000 - DEMO










diagrama)


diagrama)

Ateacute aqui temos

00000000000

00000000000 - DEMO




Continuando






13)


D + F + G = 24

15 + G = 24

G = 9

D + G = 13

D + 9 = 13

D = 4

D + F = 15

4 + F = 15

F = 11

Ateacute aqui temos

00000000000

00000000000 - DEMO








RESPOSTA E










(A) 58

(B) 65

(C) 76

(D) 53

(E) 95

RESOLUCcedilAtildeO








00000000000

00000000000 - DEMO











diagrama temos

00000000000

00000000000 - DEMO






65

RESPOSTA B









(A) 36

(B) 54

(C) 58

(D) 56

(E) 48

RESOLUCcedilAtildeO

00000000000

00000000000 - DEMO
















2 x (90 + D) = 3 x (180 ndash D)

180 + 2D = 540 ndash 3D

D = 72 metros



3 metros -------------- 1 segundo


3t = 162

t = 54 segundos

RESPOSTA B



00000000000

00000000000 - DEMO






(A) 64

(B) 48

(C) 36

(D) 24

(E) 16

RESOLUCcedilAtildeO





4 x 4 x 4 = 43 = 64 dados

RESPOSTA A








00000000000

00000000000 - DEMO








RESOLUCcedilAtildeO






5

16F para a


sabemos que



3 1 5

16 10 16F F F F R

3 1 5

16 10 16F F F F R

160 30 16 50

160 160 160 160

FF F F R

64

160

FR

040F R

40F R



A esposa recebeu 5

03125 312516



00000000000

00000000000 - DEMO











Resposta C E E





igual a n









RESOLUCcedilAtildeO








00000000000

00000000000 - DEMO




220 = 22 x 5 x 11

284 = 22 x 71






amigos Item CORRETO











Resposta C C E C





retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2

RESOLUCcedilAtildeO



temos



40 = 2 x L + 2 x M

00000000000

00000000000 - DEMO




40 = 2 x (L + M)

40 2 = L + M

L + M = 20

M = 20 ndash L






Por outro lado


24 = 2 x (L + N)

24 2 = L + N

12 = L + N

00000000000

00000000000 - DEMO




N = 12 ndash L








(12 ndash L) = (13) x (20 ndash L)




163 = 2L3

16 = 2L

L = 162 = 8cm

Portanto





RESPOSTA D






A) 2

B) 4

00000000000

00000000000 - DEMO




C) 5

D) 8

E) 10

RESOLUCcedilAtildeO





simultaneamente




Probabilidade(A)



1Probabilidade(A)

5





Probabilidade(B)



1Probabilidade(B)

4








00000000000

00000000000 - DEMO





5 4


20



RESPOSTA C






A) 98

B) 112

C) 26

D) 66

E) 82

RESOLUCcedilAtildeO


Sabemos que


seguinte

5 114

8 5C C C

5 114

8 5C C C

40 25 814

40C


00000000000

00000000000 - DEMO






RESPOSTA D





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800

RESOLUCcedilAtildeO




Controle = 2P + 16




(2P+ 16) + 2P = 30

4P = 14

14 735

4 2P


RESPOSTA A

00000000000

00000000000 - DEMO







A) 6

B) 9

C) 12

D) 16

E) 25

RESOLUCcedilAtildeO




L = V ndash C






L = V ndash C

12 = V ndash 40

V = 52 reais






reais) Assim

L = V ndash C

-3 = V ndash 60

V = 57 reais



00000000000

00000000000 - DEMO








de 9

RESPOSTA B







de

A) 15 dias

B) 16 dias

C) 18 dias

D) 20 dias

E) 24 dias

RESOLUCcedilAtildeO





trabalho

15 7200 8

15 ndash 3 18000-7200 X

00000000000

00000000000 - DEMO








trabalho

15 7200 8

12 10800 X



trabalho

12 7200 8

15 10800 X


8 12 7200

15 10800

15

X

X dias

RESPOSTA A






00000000000

00000000000 - DEMO






A) 36

B) 72

C) 144

D) 216

E) 432

RESOLUCcedilAtildeO








3 a 3 C(43) = 4





classificado






00000000000

00000000000 - DEMO





fazendo 7 pontos

RESPOSTA E



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

RESOLUCcedilAtildeO




30 18 3

n 80 4







30 18 4

n 80 3


00000000000

00000000000 - DEMO




30 18 4

80 3n


30 18 4

80 3

30 80 3 18 4

30 80 3100

18 4

n

n

n


dias

RESPOSTA B





2 141

Entatildeo






RESOLUCcedilAtildeO

00000000000

00000000000 - DEMO







2520 metros



abaixo



90 90D

2 22 90D

22 90D

90 2D


90 141 1269D




RESPOSTA B



00000000000

00000000000 - DEMO









a) 10

b) 11

c) 15

d) 16

e) 24

RESOLUCcedilAtildeO














RESPOSTA B




mm do ponto A

00000000000

00000000000 - DEMO





(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

RESOLUCcedilAtildeO




AD = AB + BC + CD = 658


BD = BC + CD = 419


AC = AB + BC = 487


que

AB + BC + CD = 658

BC + CD = 419

Logo

AB + 419 = 658

AB = 239mm


AB + BC + CD = 658

AB + BC = 487

00000000000

00000000000 - DEMO




Logo

487 + CD = 658

CD = 171mm

Assim

AB + BC + CD = 658

239 + BC + 171 = 658

BC = 248mm

RESPOSTA E


Abraccedilo

Prof Arthur Lima

Periscope ARTHURRRL


00000000000 - DEMO



















a) 78

b) 76

c) 74

d) 72






00000000000

00000000000 - DEMO





em reais












a

a) 14

b) 18

c) 22

d) 28





a) 120

b) 240

c) 360

d) 480




00000000000

00000000000 - DEMO






(A) 90

(B) 84

(C) 82

(D) 80

(E) 78







a) 6

b) 7

c) 10

d) 14







(A) 3572200

(B) 820000

(C) 357720

(D) 35772

(E) 33220

00000000000

00000000000 - DEMO






a) 80

b) 100

c) 75

d) 25

e) 108








(A) 15

(B) 16

(C) 17

(D) 18

(E) 19





gramas a

(A) 338

(B) 208

(C) 200

(D) 182

(E) 220

00000000000

00000000000 - DEMO









(A) 15h 4 min

(B) 15h 15 min

(C) 15 h 24 min

(D) 15h 29 min

(E) 15 h 31 min





eacute igual a

(A) 125ordm

(B) 115ordm

(C) 110ordm

(D) 135ordm

(E) 130ordm






00000000000

00000000000 - DEMO




(A) 2

7

(B) 5

21

(C) 10

21

(D) 2

49

(E) 10

49









(A) 040

(B) 036

(C) 032

(D) 030

(E) 028









00000000000

00000000000 - DEMO




(A) 1

2

(B) 2

3

(C) 12

35

(D) 8

15

(E) 10

21











(A) R$ 7200000

(B) R$ 8250000

(C) R$ 9400000

(D) R$ 11250000

(E) R$ 12000000







00000000000

00000000000 - DEMO




(A) 3

(B) 6

(C) 4

(D) 5

(E) 7








(A) 23

(B) 78

(C) 14

(D) 38

(E) 98











(D) igual a 8

(E) maior que 13

00000000000

00000000000 - DEMO








(A) 126

(B) 135

(C) 144

(D) 162

(E) 153







(A) 5

(B) 6

(C) 4

(D) 7

(E) 3



00000000000

00000000000 - DEMO










(A) 128

(B) 130

(C) 137

(D) 140

(E) 145










(A) 33

(B) 19

(C) 24

00000000000

00000000000 - DEMO




(D) 15

(E) 23










(A) 58

(B) 65

(C) 76

(D) 53

(E) 95









(A) 36

(B) 54

(C) 58

(D) 56

(E) 48

00000000000

00000000000 - DEMO








(A) 64

(B) 48

(C) 36

(D) 24

(E) 16









00000000000

00000000000 - DEMO











igual a n













retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2






A) 2

B) 4

C) 5

D) 8

E) 10






A) 98

B) 112

C) 26

00000000000

00000000000 - DEMO




D) 66

E) 82





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800




A) 6

B) 9

C) 12

D) 16

E) 25







de

A) 15 dias

B) 16 dias

00000000000

00000000000 - DEMO




C) 18 dias

D) 20 dias

E) 24 dias








A) 36

B) 72

C) 144

D) 216

E) 432



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

00000000000

00000000000 - DEMO








2 141

Entatildeo













a) 10

b) 11

c) 15

d) 16

e) 24

00000000000

00000000000 - DEMO







mm do ponto A


(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

00000000000

00000000000 - DEMO




01 D 02 A 03 B 04 D 05 C 06 A 07 C

08 B 09 C 10 D 11 E 12 E 13 D 14 C

15 A 16 D 17 B 18 D 19 B 20 A 21 C

22 B 23 E 24 E 25 B 26 B 27 A 28 CEE

29 CCEC 30 D 31 C 32 D 33 A 34 B 35 A

36 E 37 B 38 B 39 B 40 E

00000000000

00000000000 - DEMO



















RESPOSTA D





a) 78

b) 76

c) 74

d) 72

RESOLUCcedilAtildeO



H

00000000000

00000000000 - DEMO











leva a H = 26






RESPOSTA A







em reais






RESOLUCcedilAtildeO




00000000000

00000000000 - DEMO






RESPOSTA B







a

a) 14

b) 18

c) 22

d) 28

RESOLUCcedilAtildeO



frango e peixe




seja

F+X=3X

F=2X


P=12


54=P+F+X

54=12+2X+X

X=14

00000000000

00000000000 - DEMO





RESPOSTA D





a) 120

b) 240

c) 360

d) 480

RESOLUCcedilAtildeO






Logo N = 3 x 6 x 5 x 4 = 360

RESPOSTA C






(A) 90

(B) 84

(C) 82

(D) 80

(E) 78

RESOLUCcedilAtildeO

00000000000

00000000000 - DEMO









111 litros ------- 100km

1 litro ------------ N km

111xN = 1x100

N = 100 111

N = 90 km

RESPOSTA A







a) 6

b) 7

c) 10

d) 14

RESOLUCcedilAtildeO






5(X+8) ndash 5(X-3) =X

5X+40-5X+15=X

00000000000

00000000000 - DEMO




X=55



RESPOSTA C







(A) 3572200

(B) 820000

(C) 357720

(D) 35772

(E) 33220

RESOLUCcedilAtildeO


125m3 = 12500 litros

153m3 = 15300 litros


= 8200 litros

RESPOSTA B



a) 80

b) 100

c) 75

d) 25

00000000000

00000000000 - DEMO




e) 108

RESOLUCcedilAtildeO



forma

905

XX

590

5 5

X X

690

5

X

75X

RESPOSTA C








(A) 15

(B) 16

(C) 17

(D) 18

(E) 19

RESOLUCcedilAtildeO


latas Ou seja



00000000000

00000000000 - DEMO





Igualando os totais

14n + 16 = 20n ndash 8

16 + 8 = 20n ndash 14n

24 = 6n

n = 4 prateleiras



prateleira

RESPOSTA D





gramas a

(A) 338

(B) 208

(C) 200

(D) 182

(E) 220

RESOLUCcedilAtildeO







capacidade total

35 -------------- 182g

00000000000

00000000000 - DEMO




40 --------------- P

35xP = 40x182

P = 40x182 35

P = 040x182 035

P = 208g





RESPOSTA E






(A) 15h 4 min

(B) 15h 15 min

(C) 15 h 24 min

(D) 15h 29 min

(E) 15 h 31 min

RESOLUCcedilAtildeO






RESPOSTA E

00000000000

00000000000 - DEMO








eacute igual a

(A) 125ordm

(B) 115ordm

(C) 110ordm

(D) 135ordm

(E) 130ordm

RESOLUCcedilAtildeO





180 = 90 + +

180 ndash 90 = +

90 = 2

902 =

45ordm =

Temos o seguinte

00000000000

00000000000 - DEMO






x + 45 = 90

x = 90 ndash 45

x = 45ordm




180 = 45 + 45 +

180 = 90 +

180 ndash 90 =

90ordm =


+ = 90 + 45 = 135ordm

RESPOSTA D




00000000000

00000000000 - DEMO






(A) 2

7

(B) 5

21

(C) 10

21

(D) 2

49

(E) 10

49

RESOLUCcedilAtildeO





de 27 x 56 = 17 x 53 = 521







enunciado





00000000000

00000000000 - DEMO







RESPOSTA C









(A) 040

(B) 036

(C) 032

(D) 030

(E) 028

RESPOSTA






eacute 160x025 = 040m3

RESPOSTA A






00000000000

00000000000 - DEMO







(A) 1

2

(B) 2

3

(C) 12

35

(D) 8

15

(E) 10

21

RESOLUCcedilAtildeO



P3 = Q5 = R7

Assim

P3 = R7

P = 3R7

Q5 = R7

Q = 5R7


Total = P + Q + R = 3R7 + 5R7 + R = 8R7 + 7R7 = 15R7


P + Q = 3R7 + 5R7 = 8R7



00000000000

00000000000 - DEMO









RESPOSTA D











(A) R$ 7200000

(B) R$ 8250000

(C) R$ 9400000

(D) R$ 11250000

(E) R$ 12000000

RESOLUCcedilAtildeO





300000 ------------- 22 + 28 + 30

Valor ------------ 22

00000000000

00000000000 - DEMO




300000 x 22 = Valor x 80

Valor = 82500 reais

RESPOSTA B







(A) 3

(B) 6

(C) 4

(D) 5

(E) 7

RESOLUCcedilAtildeO













menores

RESPOSTA D

00000000000

00000000000 - DEMO











(A) 23

(B) 78

(C) 14

(D) 38

(E) 98

RESOLUCcedilAtildeO



200 unidades ------------ 3E4

300 unidades ------------ N

200N = 300x3E4

2N = 3x3E4

2N = 9E4

N = 9E8





eacute




RESPOSTA B

00000000000

00000000000 - DEMO














(D) igual a 8

(E) maior que 13

RESOLUCcedilAtildeO



- 9 18 19 27 28 29 36 37 38 39




8cm3

RESPOSTA A




00000000000

00000000000 - DEMO





(A) 126

(B) 135

(C) 144

(D) 162

(E) 153

RESOLUCcedilAtildeO


medida igual a 10




102 = 62 + X2

100 = 36 + X2

64 = X2

8 = X


10

10

X

00000000000

00000000000 - DEMO







RESPOSTA C







(A) 5

(B) 6

(C) 4

(D) 7

(E) 3

RESOLUCcedilAtildeO






novamente 15




somem 15)


RESPOSTA B

00000000000

00000000000 - DEMO












(A) 128

(B) 130

(C) 137

(D) 140

(E) 145

RESOLUCcedilAtildeO





12 -------------- 87

100 ------------ V

12V = 10087

V = 100x8712

V = 725 votos

00000000000

00000000000 - DEMO







= 20


basta fazer


RESPOSTA E










(A) 33

(B) 19

(C) 24

(D) 15

(E) 23

RESOLUCcedilAtildeO



00000000000

00000000000 - DEMO










diagrama)


diagrama)

Ateacute aqui temos

00000000000

00000000000 - DEMO




Continuando






13)


D + F + G = 24

15 + G = 24

G = 9

D + G = 13

D + 9 = 13

D = 4

D + F = 15

4 + F = 15

F = 11

Ateacute aqui temos

00000000000

00000000000 - DEMO








RESPOSTA E










(A) 58

(B) 65

(C) 76

(D) 53

(E) 95

RESOLUCcedilAtildeO








00000000000

00000000000 - DEMO











diagrama temos

00000000000

00000000000 - DEMO






65

RESPOSTA B









(A) 36

(B) 54

(C) 58

(D) 56

(E) 48

RESOLUCcedilAtildeO

00000000000

00000000000 - DEMO
















2 x (90 + D) = 3 x (180 ndash D)

180 + 2D = 540 ndash 3D

D = 72 metros



3 metros -------------- 1 segundo


3t = 162

t = 54 segundos

RESPOSTA B



00000000000

00000000000 - DEMO






(A) 64

(B) 48

(C) 36

(D) 24

(E) 16

RESOLUCcedilAtildeO





4 x 4 x 4 = 43 = 64 dados

RESPOSTA A








00000000000

00000000000 - DEMO








RESOLUCcedilAtildeO






5

16F para a


sabemos que



3 1 5

16 10 16F F F F R

3 1 5

16 10 16F F F F R

160 30 16 50

160 160 160 160

FF F F R

64

160

FR

040F R

40F R



A esposa recebeu 5

03125 312516



00000000000

00000000000 - DEMO











Resposta C E E





igual a n









RESOLUCcedilAtildeO








00000000000

00000000000 - DEMO




220 = 22 x 5 x 11

284 = 22 x 71






amigos Item CORRETO











Resposta C C E C





retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2

RESOLUCcedilAtildeO



temos



40 = 2 x L + 2 x M

00000000000

00000000000 - DEMO




40 = 2 x (L + M)

40 2 = L + M

L + M = 20

M = 20 ndash L






Por outro lado


24 = 2 x (L + N)

24 2 = L + N

12 = L + N

00000000000

00000000000 - DEMO




N = 12 ndash L








(12 ndash L) = (13) x (20 ndash L)




163 = 2L3

16 = 2L

L = 162 = 8cm

Portanto





RESPOSTA D






A) 2

B) 4

00000000000

00000000000 - DEMO




C) 5

D) 8

E) 10

RESOLUCcedilAtildeO





simultaneamente




Probabilidade(A)



1Probabilidade(A)

5





Probabilidade(B)



1Probabilidade(B)

4








00000000000

00000000000 - DEMO





5 4


20



RESPOSTA C






A) 98

B) 112

C) 26

D) 66

E) 82

RESOLUCcedilAtildeO


Sabemos que


seguinte

5 114

8 5C C C

5 114

8 5C C C

40 25 814

40C


00000000000

00000000000 - DEMO






RESPOSTA D





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800

RESOLUCcedilAtildeO




Controle = 2P + 16




(2P+ 16) + 2P = 30

4P = 14

14 735

4 2P


RESPOSTA A

00000000000

00000000000 - DEMO







A) 6

B) 9

C) 12

D) 16

E) 25

RESOLUCcedilAtildeO




L = V ndash C






L = V ndash C

12 = V ndash 40

V = 52 reais






reais) Assim

L = V ndash C

-3 = V ndash 60

V = 57 reais



00000000000

00000000000 - DEMO








de 9

RESPOSTA B







de

A) 15 dias

B) 16 dias

C) 18 dias

D) 20 dias

E) 24 dias

RESOLUCcedilAtildeO





trabalho

15 7200 8

15 ndash 3 18000-7200 X

00000000000

00000000000 - DEMO








trabalho

15 7200 8

12 10800 X



trabalho

12 7200 8

15 10800 X


8 12 7200

15 10800

15

X

X dias

RESPOSTA A






00000000000

00000000000 - DEMO






A) 36

B) 72

C) 144

D) 216

E) 432

RESOLUCcedilAtildeO








3 a 3 C(43) = 4





classificado






00000000000

00000000000 - DEMO





fazendo 7 pontos

RESPOSTA E



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

RESOLUCcedilAtildeO




30 18 3

n 80 4







30 18 4

n 80 3


00000000000

00000000000 - DEMO




30 18 4

80 3n


30 18 4

80 3

30 80 3 18 4

30 80 3100

18 4

n

n

n


dias

RESPOSTA B





2 141

Entatildeo






RESOLUCcedilAtildeO

00000000000

00000000000 - DEMO







2520 metros



abaixo



90 90D

2 22 90D

22 90D

90 2D


90 141 1269D




RESPOSTA B



00000000000

00000000000 - DEMO









a) 10

b) 11

c) 15

d) 16

e) 24

RESOLUCcedilAtildeO














RESPOSTA B




mm do ponto A

00000000000

00000000000 - DEMO





(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

RESOLUCcedilAtildeO




AD = AB + BC + CD = 658


BD = BC + CD = 419


AC = AB + BC = 487


que

AB + BC + CD = 658

BC + CD = 419

Logo

AB + 419 = 658

AB = 239mm


AB + BC + CD = 658

AB + BC = 487

00000000000

00000000000 - DEMO




Logo

487 + CD = 658

CD = 171mm

Assim

AB + BC + CD = 658

239 + BC + 171 = 658

BC = 248mm

RESPOSTA E


Abraccedilo

Prof Arthur Lima

Periscope ARTHURRRL


00000000000 - DEMO



















a) 78

b) 76

c) 74

d) 72






00000000000

00000000000 - DEMO





em reais












a

a) 14

b) 18

c) 22

d) 28





a) 120

b) 240

c) 360

d) 480




00000000000

00000000000 - DEMO






(A) 90

(B) 84

(C) 82

(D) 80

(E) 78







a) 6

b) 7

c) 10

d) 14







(A) 3572200

(B) 820000

(C) 357720

(D) 35772

(E) 33220

00000000000

00000000000 - DEMO






a) 80

b) 100

c) 75

d) 25

e) 108








(A) 15

(B) 16

(C) 17

(D) 18

(E) 19





gramas a

(A) 338

(B) 208

(C) 200

(D) 182

(E) 220

00000000000

00000000000 - DEMO









(A) 15h 4 min

(B) 15h 15 min

(C) 15 h 24 min

(D) 15h 29 min

(E) 15 h 31 min





eacute igual a

(A) 125ordm

(B) 115ordm

(C) 110ordm

(D) 135ordm

(E) 130ordm






00000000000

00000000000 - DEMO




(A) 2

7

(B) 5

21

(C) 10

21

(D) 2

49

(E) 10

49









(A) 040

(B) 036

(C) 032

(D) 030

(E) 028









00000000000

00000000000 - DEMO




(A) 1

2

(B) 2

3

(C) 12

35

(D) 8

15

(E) 10

21











(A) R$ 7200000

(B) R$ 8250000

(C) R$ 9400000

(D) R$ 11250000

(E) R$ 12000000







00000000000

00000000000 - DEMO




(A) 3

(B) 6

(C) 4

(D) 5

(E) 7








(A) 23

(B) 78

(C) 14

(D) 38

(E) 98











(D) igual a 8

(E) maior que 13

00000000000

00000000000 - DEMO








(A) 126

(B) 135

(C) 144

(D) 162

(E) 153







(A) 5

(B) 6

(C) 4

(D) 7

(E) 3



00000000000

00000000000 - DEMO










(A) 128

(B) 130

(C) 137

(D) 140

(E) 145










(A) 33

(B) 19

(C) 24

00000000000

00000000000 - DEMO




(D) 15

(E) 23










(A) 58

(B) 65

(C) 76

(D) 53

(E) 95









(A) 36

(B) 54

(C) 58

(D) 56

(E) 48

00000000000

00000000000 - DEMO








(A) 64

(B) 48

(C) 36

(D) 24

(E) 16









00000000000

00000000000 - DEMO











igual a n













retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2






A) 2

B) 4

C) 5

D) 8

E) 10






A) 98

B) 112

C) 26

00000000000

00000000000 - DEMO




D) 66

E) 82





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800




A) 6

B) 9

C) 12

D) 16

E) 25







de

A) 15 dias

B) 16 dias

00000000000

00000000000 - DEMO




C) 18 dias

D) 20 dias

E) 24 dias








A) 36

B) 72

C) 144

D) 216

E) 432



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

00000000000

00000000000 - DEMO








2 141

Entatildeo













a) 10

b) 11

c) 15

d) 16

e) 24

00000000000

00000000000 - DEMO







mm do ponto A


(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

00000000000

00000000000 - DEMO




01 D 02 A 03 B 04 D 05 C 06 A 07 C

08 B 09 C 10 D 11 E 12 E 13 D 14 C

15 A 16 D 17 B 18 D 19 B 20 A 21 C

22 B 23 E 24 E 25 B 26 B 27 A 28 CEE

29 CCEC 30 D 31 C 32 D 33 A 34 B 35 A

36 E 37 B 38 B 39 B 40 E

00000000000

00000000000 - DEMO











leva a H = 26






RESPOSTA A







em reais






RESOLUCcedilAtildeO




00000000000

00000000000 - DEMO






RESPOSTA B







a

a) 14

b) 18

c) 22

d) 28

RESOLUCcedilAtildeO



frango e peixe




seja

F+X=3X

F=2X


P=12


54=P+F+X

54=12+2X+X

X=14

00000000000

00000000000 - DEMO





RESPOSTA D





a) 120

b) 240

c) 360

d) 480

RESOLUCcedilAtildeO






Logo N = 3 x 6 x 5 x 4 = 360

RESPOSTA C






(A) 90

(B) 84

(C) 82

(D) 80

(E) 78

RESOLUCcedilAtildeO

00000000000

00000000000 - DEMO









111 litros ------- 100km

1 litro ------------ N km

111xN = 1x100

N = 100 111

N = 90 km

RESPOSTA A







a) 6

b) 7

c) 10

d) 14

RESOLUCcedilAtildeO






5(X+8) ndash 5(X-3) =X

5X+40-5X+15=X

00000000000

00000000000 - DEMO




X=55



RESPOSTA C







(A) 3572200

(B) 820000

(C) 357720

(D) 35772

(E) 33220

RESOLUCcedilAtildeO


125m3 = 12500 litros

153m3 = 15300 litros


= 8200 litros

RESPOSTA B



a) 80

b) 100

c) 75

d) 25

00000000000

00000000000 - DEMO




e) 108

RESOLUCcedilAtildeO



forma

905

XX

590

5 5

X X

690

5

X

75X

RESPOSTA C








(A) 15

(B) 16

(C) 17

(D) 18

(E) 19

RESOLUCcedilAtildeO


latas Ou seja



00000000000

00000000000 - DEMO





Igualando os totais

14n + 16 = 20n ndash 8

16 + 8 = 20n ndash 14n

24 = 6n

n = 4 prateleiras



prateleira

RESPOSTA D





gramas a

(A) 338

(B) 208

(C) 200

(D) 182

(E) 220

RESOLUCcedilAtildeO







capacidade total

35 -------------- 182g

00000000000

00000000000 - DEMO




40 --------------- P

35xP = 40x182

P = 40x182 35

P = 040x182 035

P = 208g





RESPOSTA E






(A) 15h 4 min

(B) 15h 15 min

(C) 15 h 24 min

(D) 15h 29 min

(E) 15 h 31 min

RESOLUCcedilAtildeO






RESPOSTA E

00000000000

00000000000 - DEMO








eacute igual a

(A) 125ordm

(B) 115ordm

(C) 110ordm

(D) 135ordm

(E) 130ordm

RESOLUCcedilAtildeO





180 = 90 + +

180 ndash 90 = +

90 = 2

902 =

45ordm =

Temos o seguinte

00000000000

00000000000 - DEMO






x + 45 = 90

x = 90 ndash 45

x = 45ordm




180 = 45 + 45 +

180 = 90 +

180 ndash 90 =

90ordm =


+ = 90 + 45 = 135ordm

RESPOSTA D




00000000000

00000000000 - DEMO






(A) 2

7

(B) 5

21

(C) 10

21

(D) 2

49

(E) 10

49

RESOLUCcedilAtildeO





de 27 x 56 = 17 x 53 = 521







enunciado





00000000000

00000000000 - DEMO







RESPOSTA C









(A) 040

(B) 036

(C) 032

(D) 030

(E) 028

RESPOSTA






eacute 160x025 = 040m3

RESPOSTA A






00000000000

00000000000 - DEMO







(A) 1

2

(B) 2

3

(C) 12

35

(D) 8

15

(E) 10

21

RESOLUCcedilAtildeO



P3 = Q5 = R7

Assim

P3 = R7

P = 3R7

Q5 = R7

Q = 5R7


Total = P + Q + R = 3R7 + 5R7 + R = 8R7 + 7R7 = 15R7


P + Q = 3R7 + 5R7 = 8R7



00000000000

00000000000 - DEMO









RESPOSTA D











(A) R$ 7200000

(B) R$ 8250000

(C) R$ 9400000

(D) R$ 11250000

(E) R$ 12000000

RESOLUCcedilAtildeO





300000 ------------- 22 + 28 + 30

Valor ------------ 22

00000000000

00000000000 - DEMO




300000 x 22 = Valor x 80

Valor = 82500 reais

RESPOSTA B







(A) 3

(B) 6

(C) 4

(D) 5

(E) 7

RESOLUCcedilAtildeO













menores

RESPOSTA D

00000000000

00000000000 - DEMO











(A) 23

(B) 78

(C) 14

(D) 38

(E) 98

RESOLUCcedilAtildeO



200 unidades ------------ 3E4

300 unidades ------------ N

200N = 300x3E4

2N = 3x3E4

2N = 9E4

N = 9E8





eacute




RESPOSTA B

00000000000

00000000000 - DEMO














(D) igual a 8

(E) maior que 13

RESOLUCcedilAtildeO



- 9 18 19 27 28 29 36 37 38 39




8cm3

RESPOSTA A




00000000000

00000000000 - DEMO





(A) 126

(B) 135

(C) 144

(D) 162

(E) 153

RESOLUCcedilAtildeO


medida igual a 10




102 = 62 + X2

100 = 36 + X2

64 = X2

8 = X


10

10

X

00000000000

00000000000 - DEMO







RESPOSTA C







(A) 5

(B) 6

(C) 4

(D) 7

(E) 3

RESOLUCcedilAtildeO






novamente 15




somem 15)


RESPOSTA B

00000000000

00000000000 - DEMO












(A) 128

(B) 130

(C) 137

(D) 140

(E) 145

RESOLUCcedilAtildeO





12 -------------- 87

100 ------------ V

12V = 10087

V = 100x8712

V = 725 votos

00000000000

00000000000 - DEMO







= 20


basta fazer


RESPOSTA E










(A) 33

(B) 19

(C) 24

(D) 15

(E) 23

RESOLUCcedilAtildeO



00000000000

00000000000 - DEMO










diagrama)


diagrama)

Ateacute aqui temos

00000000000

00000000000 - DEMO




Continuando






13)


D + F + G = 24

15 + G = 24

G = 9

D + G = 13

D + 9 = 13

D = 4

D + F = 15

4 + F = 15

F = 11

Ateacute aqui temos

00000000000

00000000000 - DEMO








RESPOSTA E










(A) 58

(B) 65

(C) 76

(D) 53

(E) 95

RESOLUCcedilAtildeO








00000000000

00000000000 - DEMO











diagrama temos

00000000000

00000000000 - DEMO






65

RESPOSTA B









(A) 36

(B) 54

(C) 58

(D) 56

(E) 48

RESOLUCcedilAtildeO

00000000000

00000000000 - DEMO
















2 x (90 + D) = 3 x (180 ndash D)

180 + 2D = 540 ndash 3D

D = 72 metros



3 metros -------------- 1 segundo


3t = 162

t = 54 segundos

RESPOSTA B



00000000000

00000000000 - DEMO






(A) 64

(B) 48

(C) 36

(D) 24

(E) 16

RESOLUCcedilAtildeO





4 x 4 x 4 = 43 = 64 dados

RESPOSTA A








00000000000

00000000000 - DEMO








RESOLUCcedilAtildeO






5

16F para a


sabemos que



3 1 5

16 10 16F F F F R

3 1 5

16 10 16F F F F R

160 30 16 50

160 160 160 160

FF F F R

64

160

FR

040F R

40F R



A esposa recebeu 5

03125 312516



00000000000

00000000000 - DEMO











Resposta C E E





igual a n









RESOLUCcedilAtildeO








00000000000

00000000000 - DEMO




220 = 22 x 5 x 11

284 = 22 x 71






amigos Item CORRETO











Resposta C C E C





retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2

RESOLUCcedilAtildeO



temos



40 = 2 x L + 2 x M

00000000000

00000000000 - DEMO




40 = 2 x (L + M)

40 2 = L + M

L + M = 20

M = 20 ndash L






Por outro lado


24 = 2 x (L + N)

24 2 = L + N

12 = L + N

00000000000

00000000000 - DEMO




N = 12 ndash L








(12 ndash L) = (13) x (20 ndash L)




163 = 2L3

16 = 2L

L = 162 = 8cm

Portanto





RESPOSTA D






A) 2

B) 4

00000000000

00000000000 - DEMO




C) 5

D) 8

E) 10

RESOLUCcedilAtildeO





simultaneamente




Probabilidade(A)



1Probabilidade(A)

5





Probabilidade(B)



1Probabilidade(B)

4








00000000000

00000000000 - DEMO





5 4


20



RESPOSTA C






A) 98

B) 112

C) 26

D) 66

E) 82

RESOLUCcedilAtildeO


Sabemos que


seguinte

5 114

8 5C C C

5 114

8 5C C C

40 25 814

40C


00000000000

00000000000 - DEMO






RESPOSTA D





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800

RESOLUCcedilAtildeO




Controle = 2P + 16




(2P+ 16) + 2P = 30

4P = 14

14 735

4 2P


RESPOSTA A

00000000000

00000000000 - DEMO







A) 6

B) 9

C) 12

D) 16

E) 25

RESOLUCcedilAtildeO




L = V ndash C






L = V ndash C

12 = V ndash 40

V = 52 reais






reais) Assim

L = V ndash C

-3 = V ndash 60

V = 57 reais



00000000000

00000000000 - DEMO








de 9

RESPOSTA B







de

A) 15 dias

B) 16 dias

C) 18 dias

D) 20 dias

E) 24 dias

RESOLUCcedilAtildeO





trabalho

15 7200 8

15 ndash 3 18000-7200 X

00000000000

00000000000 - DEMO








trabalho

15 7200 8

12 10800 X



trabalho

12 7200 8

15 10800 X


8 12 7200

15 10800

15

X

X dias

RESPOSTA A






00000000000

00000000000 - DEMO






A) 36

B) 72

C) 144

D) 216

E) 432

RESOLUCcedilAtildeO








3 a 3 C(43) = 4





classificado






00000000000

00000000000 - DEMO





fazendo 7 pontos

RESPOSTA E



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

RESOLUCcedilAtildeO




30 18 3

n 80 4







30 18 4

n 80 3


00000000000

00000000000 - DEMO




30 18 4

80 3n


30 18 4

80 3

30 80 3 18 4

30 80 3100

18 4

n

n

n


dias

RESPOSTA B





2 141

Entatildeo






RESOLUCcedilAtildeO

00000000000

00000000000 - DEMO







2520 metros



abaixo



90 90D

2 22 90D

22 90D

90 2D


90 141 1269D




RESPOSTA B



00000000000

00000000000 - DEMO









a) 10

b) 11

c) 15

d) 16

e) 24

RESOLUCcedilAtildeO














RESPOSTA B




mm do ponto A

00000000000

00000000000 - DEMO





(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

RESOLUCcedilAtildeO




AD = AB + BC + CD = 658


BD = BC + CD = 419


AC = AB + BC = 487


que

AB + BC + CD = 658

BC + CD = 419

Logo

AB + 419 = 658

AB = 239mm


AB + BC + CD = 658

AB + BC = 487

00000000000

00000000000 - DEMO




Logo

487 + CD = 658

CD = 171mm

Assim

AB + BC + CD = 658

239 + BC + 171 = 658

BC = 248mm

RESPOSTA E


Abraccedilo

Prof Arthur Lima

Periscope ARTHURRRL


00000000000 - DEMO



















a) 78

b) 76

c) 74

d) 72






00000000000

00000000000 - DEMO





em reais












a

a) 14

b) 18

c) 22

d) 28





a) 120

b) 240

c) 360

d) 480




00000000000

00000000000 - DEMO






(A) 90

(B) 84

(C) 82

(D) 80

(E) 78







a) 6

b) 7

c) 10

d) 14







(A) 3572200

(B) 820000

(C) 357720

(D) 35772

(E) 33220

00000000000

00000000000 - DEMO






a) 80

b) 100

c) 75

d) 25

e) 108








(A) 15

(B) 16

(C) 17

(D) 18

(E) 19





gramas a

(A) 338

(B) 208

(C) 200

(D) 182

(E) 220

00000000000

00000000000 - DEMO









(A) 15h 4 min

(B) 15h 15 min

(C) 15 h 24 min

(D) 15h 29 min

(E) 15 h 31 min





eacute igual a

(A) 125ordm

(B) 115ordm

(C) 110ordm

(D) 135ordm

(E) 130ordm






00000000000

00000000000 - DEMO




(A) 2

7

(B) 5

21

(C) 10

21

(D) 2

49

(E) 10

49









(A) 040

(B) 036

(C) 032

(D) 030

(E) 028









00000000000

00000000000 - DEMO




(A) 1

2

(B) 2

3

(C) 12

35

(D) 8

15

(E) 10

21











(A) R$ 7200000

(B) R$ 8250000

(C) R$ 9400000

(D) R$ 11250000

(E) R$ 12000000







00000000000

00000000000 - DEMO




(A) 3

(B) 6

(C) 4

(D) 5

(E) 7








(A) 23

(B) 78

(C) 14

(D) 38

(E) 98











(D) igual a 8

(E) maior que 13

00000000000

00000000000 - DEMO








(A) 126

(B) 135

(C) 144

(D) 162

(E) 153







(A) 5

(B) 6

(C) 4

(D) 7

(E) 3



00000000000

00000000000 - DEMO










(A) 128

(B) 130

(C) 137

(D) 140

(E) 145










(A) 33

(B) 19

(C) 24

00000000000

00000000000 - DEMO




(D) 15

(E) 23










(A) 58

(B) 65

(C) 76

(D) 53

(E) 95









(A) 36

(B) 54

(C) 58

(D) 56

(E) 48

00000000000

00000000000 - DEMO








(A) 64

(B) 48

(C) 36

(D) 24

(E) 16









00000000000

00000000000 - DEMO











igual a n













retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2






A) 2

B) 4

C) 5

D) 8

E) 10






A) 98

B) 112

C) 26

00000000000

00000000000 - DEMO




D) 66

E) 82





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800




A) 6

B) 9

C) 12

D) 16

E) 25







de

A) 15 dias

B) 16 dias

00000000000

00000000000 - DEMO




C) 18 dias

D) 20 dias

E) 24 dias








A) 36

B) 72

C) 144

D) 216

E) 432



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

00000000000

00000000000 - DEMO








2 141

Entatildeo













a) 10

b) 11

c) 15

d) 16

e) 24

00000000000

00000000000 - DEMO







mm do ponto A


(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

00000000000

00000000000 - DEMO




01 D 02 A 03 B 04 D 05 C 06 A 07 C

08 B 09 C 10 D 11 E 12 E 13 D 14 C

15 A 16 D 17 B 18 D 19 B 20 A 21 C

22 B 23 E 24 E 25 B 26 B 27 A 28 CEE

29 CCEC 30 D 31 C 32 D 33 A 34 B 35 A

36 E 37 B 38 B 39 B 40 E

00000000000

00000000000 - DEMO






RESPOSTA B







a

a) 14

b) 18

c) 22

d) 28

RESOLUCcedilAtildeO



frango e peixe




seja

F+X=3X

F=2X


P=12


54=P+F+X

54=12+2X+X

X=14

00000000000

00000000000 - DEMO





RESPOSTA D





a) 120

b) 240

c) 360

d) 480

RESOLUCcedilAtildeO






Logo N = 3 x 6 x 5 x 4 = 360

RESPOSTA C






(A) 90

(B) 84

(C) 82

(D) 80

(E) 78

RESOLUCcedilAtildeO

00000000000

00000000000 - DEMO









111 litros ------- 100km

1 litro ------------ N km

111xN = 1x100

N = 100 111

N = 90 km

RESPOSTA A







a) 6

b) 7

c) 10

d) 14

RESOLUCcedilAtildeO






5(X+8) ndash 5(X-3) =X

5X+40-5X+15=X

00000000000

00000000000 - DEMO




X=55



RESPOSTA C







(A) 3572200

(B) 820000

(C) 357720

(D) 35772

(E) 33220

RESOLUCcedilAtildeO


125m3 = 12500 litros

153m3 = 15300 litros


= 8200 litros

RESPOSTA B



a) 80

b) 100

c) 75

d) 25

00000000000

00000000000 - DEMO




e) 108

RESOLUCcedilAtildeO



forma

905

XX

590

5 5

X X

690

5

X

75X

RESPOSTA C








(A) 15

(B) 16

(C) 17

(D) 18

(E) 19

RESOLUCcedilAtildeO


latas Ou seja



00000000000

00000000000 - DEMO





Igualando os totais

14n + 16 = 20n ndash 8

16 + 8 = 20n ndash 14n

24 = 6n

n = 4 prateleiras



prateleira

RESPOSTA D





gramas a

(A) 338

(B) 208

(C) 200

(D) 182

(E) 220

RESOLUCcedilAtildeO







capacidade total

35 -------------- 182g

00000000000

00000000000 - DEMO




40 --------------- P

35xP = 40x182

P = 40x182 35

P = 040x182 035

P = 208g





RESPOSTA E






(A) 15h 4 min

(B) 15h 15 min

(C) 15 h 24 min

(D) 15h 29 min

(E) 15 h 31 min

RESOLUCcedilAtildeO






RESPOSTA E

00000000000

00000000000 - DEMO








eacute igual a

(A) 125ordm

(B) 115ordm

(C) 110ordm

(D) 135ordm

(E) 130ordm

RESOLUCcedilAtildeO





180 = 90 + +

180 ndash 90 = +

90 = 2

902 =

45ordm =

Temos o seguinte

00000000000

00000000000 - DEMO






x + 45 = 90

x = 90 ndash 45

x = 45ordm




180 = 45 + 45 +

180 = 90 +

180 ndash 90 =

90ordm =


+ = 90 + 45 = 135ordm

RESPOSTA D




00000000000

00000000000 - DEMO






(A) 2

7

(B) 5

21

(C) 10

21

(D) 2

49

(E) 10

49

RESOLUCcedilAtildeO





de 27 x 56 = 17 x 53 = 521







enunciado





00000000000

00000000000 - DEMO







RESPOSTA C









(A) 040

(B) 036

(C) 032

(D) 030

(E) 028

RESPOSTA






eacute 160x025 = 040m3

RESPOSTA A






00000000000

00000000000 - DEMO







(A) 1

2

(B) 2

3

(C) 12

35

(D) 8

15

(E) 10

21

RESOLUCcedilAtildeO



P3 = Q5 = R7

Assim

P3 = R7

P = 3R7

Q5 = R7

Q = 5R7


Total = P + Q + R = 3R7 + 5R7 + R = 8R7 + 7R7 = 15R7


P + Q = 3R7 + 5R7 = 8R7



00000000000

00000000000 - DEMO









RESPOSTA D











(A) R$ 7200000

(B) R$ 8250000

(C) R$ 9400000

(D) R$ 11250000

(E) R$ 12000000

RESOLUCcedilAtildeO





300000 ------------- 22 + 28 + 30

Valor ------------ 22

00000000000

00000000000 - DEMO




300000 x 22 = Valor x 80

Valor = 82500 reais

RESPOSTA B







(A) 3

(B) 6

(C) 4

(D) 5

(E) 7

RESOLUCcedilAtildeO













menores

RESPOSTA D

00000000000

00000000000 - DEMO











(A) 23

(B) 78

(C) 14

(D) 38

(E) 98

RESOLUCcedilAtildeO



200 unidades ------------ 3E4

300 unidades ------------ N

200N = 300x3E4

2N = 3x3E4

2N = 9E4

N = 9E8





eacute




RESPOSTA B

00000000000

00000000000 - DEMO














(D) igual a 8

(E) maior que 13

RESOLUCcedilAtildeO



- 9 18 19 27 28 29 36 37 38 39




8cm3

RESPOSTA A




00000000000

00000000000 - DEMO





(A) 126

(B) 135

(C) 144

(D) 162

(E) 153

RESOLUCcedilAtildeO


medida igual a 10




102 = 62 + X2

100 = 36 + X2

64 = X2

8 = X


10

10

X

00000000000

00000000000 - DEMO







RESPOSTA C







(A) 5

(B) 6

(C) 4

(D) 7

(E) 3

RESOLUCcedilAtildeO






novamente 15




somem 15)


RESPOSTA B

00000000000

00000000000 - DEMO












(A) 128

(B) 130

(C) 137

(D) 140

(E) 145

RESOLUCcedilAtildeO





12 -------------- 87

100 ------------ V

12V = 10087

V = 100x8712

V = 725 votos

00000000000

00000000000 - DEMO







= 20


basta fazer


RESPOSTA E










(A) 33

(B) 19

(C) 24

(D) 15

(E) 23

RESOLUCcedilAtildeO



00000000000

00000000000 - DEMO










diagrama)


diagrama)

Ateacute aqui temos

00000000000

00000000000 - DEMO




Continuando






13)


D + F + G = 24

15 + G = 24

G = 9

D + G = 13

D + 9 = 13

D = 4

D + F = 15

4 + F = 15

F = 11

Ateacute aqui temos

00000000000

00000000000 - DEMO








RESPOSTA E










(A) 58

(B) 65

(C) 76

(D) 53

(E) 95

RESOLUCcedilAtildeO








00000000000

00000000000 - DEMO











diagrama temos

00000000000

00000000000 - DEMO






65

RESPOSTA B









(A) 36

(B) 54

(C) 58

(D) 56

(E) 48

RESOLUCcedilAtildeO

00000000000

00000000000 - DEMO
















2 x (90 + D) = 3 x (180 ndash D)

180 + 2D = 540 ndash 3D

D = 72 metros



3 metros -------------- 1 segundo


3t = 162

t = 54 segundos

RESPOSTA B



00000000000

00000000000 - DEMO






(A) 64

(B) 48

(C) 36

(D) 24

(E) 16

RESOLUCcedilAtildeO





4 x 4 x 4 = 43 = 64 dados

RESPOSTA A








00000000000

00000000000 - DEMO








RESOLUCcedilAtildeO






5

16F para a


sabemos que



3 1 5

16 10 16F F F F R

3 1 5

16 10 16F F F F R

160 30 16 50

160 160 160 160

FF F F R

64

160

FR

040F R

40F R



A esposa recebeu 5

03125 312516



00000000000

00000000000 - DEMO











Resposta C E E





igual a n









RESOLUCcedilAtildeO








00000000000

00000000000 - DEMO




220 = 22 x 5 x 11

284 = 22 x 71






amigos Item CORRETO











Resposta C C E C





retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2

RESOLUCcedilAtildeO



temos



40 = 2 x L + 2 x M

00000000000

00000000000 - DEMO




40 = 2 x (L + M)

40 2 = L + M

L + M = 20

M = 20 ndash L






Por outro lado


24 = 2 x (L + N)

24 2 = L + N

12 = L + N

00000000000

00000000000 - DEMO




N = 12 ndash L








(12 ndash L) = (13) x (20 ndash L)




163 = 2L3

16 = 2L

L = 162 = 8cm

Portanto





RESPOSTA D






A) 2

B) 4

00000000000

00000000000 - DEMO




C) 5

D) 8

E) 10

RESOLUCcedilAtildeO





simultaneamente




Probabilidade(A)



1Probabilidade(A)

5





Probabilidade(B)



1Probabilidade(B)

4








00000000000

00000000000 - DEMO





5 4


20



RESPOSTA C






A) 98

B) 112

C) 26

D) 66

E) 82

RESOLUCcedilAtildeO


Sabemos que


seguinte

5 114

8 5C C C

5 114

8 5C C C

40 25 814

40C


00000000000

00000000000 - DEMO






RESPOSTA D





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800

RESOLUCcedilAtildeO




Controle = 2P + 16




(2P+ 16) + 2P = 30

4P = 14

14 735

4 2P


RESPOSTA A

00000000000

00000000000 - DEMO







A) 6

B) 9

C) 12

D) 16

E) 25

RESOLUCcedilAtildeO




L = V ndash C






L = V ndash C

12 = V ndash 40

V = 52 reais






reais) Assim

L = V ndash C

-3 = V ndash 60

V = 57 reais



00000000000

00000000000 - DEMO








de 9

RESPOSTA B







de

A) 15 dias

B) 16 dias

C) 18 dias

D) 20 dias

E) 24 dias

RESOLUCcedilAtildeO





trabalho

15 7200 8

15 ndash 3 18000-7200 X

00000000000

00000000000 - DEMO








trabalho

15 7200 8

12 10800 X



trabalho

12 7200 8

15 10800 X


8 12 7200

15 10800

15

X

X dias

RESPOSTA A






00000000000

00000000000 - DEMO






A) 36

B) 72

C) 144

D) 216

E) 432

RESOLUCcedilAtildeO








3 a 3 C(43) = 4





classificado






00000000000

00000000000 - DEMO





fazendo 7 pontos

RESPOSTA E



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

RESOLUCcedilAtildeO




30 18 3

n 80 4







30 18 4

n 80 3


00000000000

00000000000 - DEMO




30 18 4

80 3n


30 18 4

80 3

30 80 3 18 4

30 80 3100

18 4

n

n

n


dias

RESPOSTA B





2 141

Entatildeo






RESOLUCcedilAtildeO

00000000000

00000000000 - DEMO







2520 metros



abaixo



90 90D

2 22 90D

22 90D

90 2D


90 141 1269D




RESPOSTA B



00000000000

00000000000 - DEMO









a) 10

b) 11

c) 15

d) 16

e) 24

RESOLUCcedilAtildeO














RESPOSTA B




mm do ponto A

00000000000

00000000000 - DEMO





(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

RESOLUCcedilAtildeO




AD = AB + BC + CD = 658


BD = BC + CD = 419


AC = AB + BC = 487


que

AB + BC + CD = 658

BC + CD = 419

Logo

AB + 419 = 658

AB = 239mm


AB + BC + CD = 658

AB + BC = 487

00000000000

00000000000 - DEMO




Logo

487 + CD = 658

CD = 171mm

Assim

AB + BC + CD = 658

239 + BC + 171 = 658

BC = 248mm

RESPOSTA E


Abraccedilo

Prof Arthur Lima

Periscope ARTHURRRL


00000000000 - DEMO



















a) 78

b) 76

c) 74

d) 72






00000000000

00000000000 - DEMO





em reais












a

a) 14

b) 18

c) 22

d) 28





a) 120

b) 240

c) 360

d) 480




00000000000

00000000000 - DEMO






(A) 90

(B) 84

(C) 82

(D) 80

(E) 78







a) 6

b) 7

c) 10

d) 14







(A) 3572200

(B) 820000

(C) 357720

(D) 35772

(E) 33220

00000000000

00000000000 - DEMO






a) 80

b) 100

c) 75

d) 25

e) 108








(A) 15

(B) 16

(C) 17

(D) 18

(E) 19





gramas a

(A) 338

(B) 208

(C) 200

(D) 182

(E) 220

00000000000

00000000000 - DEMO









(A) 15h 4 min

(B) 15h 15 min

(C) 15 h 24 min

(D) 15h 29 min

(E) 15 h 31 min





eacute igual a

(A) 125ordm

(B) 115ordm

(C) 110ordm

(D) 135ordm

(E) 130ordm






00000000000

00000000000 - DEMO




(A) 2

7

(B) 5

21

(C) 10

21

(D) 2

49

(E) 10

49









(A) 040

(B) 036

(C) 032

(D) 030

(E) 028









00000000000

00000000000 - DEMO




(A) 1

2

(B) 2

3

(C) 12

35

(D) 8

15

(E) 10

21











(A) R$ 7200000

(B) R$ 8250000

(C) R$ 9400000

(D) R$ 11250000

(E) R$ 12000000







00000000000

00000000000 - DEMO




(A) 3

(B) 6

(C) 4

(D) 5

(E) 7








(A) 23

(B) 78

(C) 14

(D) 38

(E) 98











(D) igual a 8

(E) maior que 13

00000000000

00000000000 - DEMO








(A) 126

(B) 135

(C) 144

(D) 162

(E) 153







(A) 5

(B) 6

(C) 4

(D) 7

(E) 3



00000000000

00000000000 - DEMO










(A) 128

(B) 130

(C) 137

(D) 140

(E) 145










(A) 33

(B) 19

(C) 24

00000000000

00000000000 - DEMO




(D) 15

(E) 23










(A) 58

(B) 65

(C) 76

(D) 53

(E) 95









(A) 36

(B) 54

(C) 58

(D) 56

(E) 48

00000000000

00000000000 - DEMO








(A) 64

(B) 48

(C) 36

(D) 24

(E) 16









00000000000

00000000000 - DEMO











igual a n













retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2






A) 2

B) 4

C) 5

D) 8

E) 10






A) 98

B) 112

C) 26

00000000000

00000000000 - DEMO




D) 66

E) 82





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800




A) 6

B) 9

C) 12

D) 16

E) 25







de

A) 15 dias

B) 16 dias

00000000000

00000000000 - DEMO




C) 18 dias

D) 20 dias

E) 24 dias








A) 36

B) 72

C) 144

D) 216

E) 432



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

00000000000

00000000000 - DEMO








2 141

Entatildeo













a) 10

b) 11

c) 15

d) 16

e) 24

00000000000

00000000000 - DEMO







mm do ponto A


(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

00000000000

00000000000 - DEMO




01 D 02 A 03 B 04 D 05 C 06 A 07 C

08 B 09 C 10 D 11 E 12 E 13 D 14 C

15 A 16 D 17 B 18 D 19 B 20 A 21 C

22 B 23 E 24 E 25 B 26 B 27 A 28 CEE

29 CCEC 30 D 31 C 32 D 33 A 34 B 35 A

36 E 37 B 38 B 39 B 40 E

00000000000

00000000000 - DEMO





RESPOSTA D





a) 120

b) 240

c) 360

d) 480

RESOLUCcedilAtildeO






Logo N = 3 x 6 x 5 x 4 = 360

RESPOSTA C






(A) 90

(B) 84

(C) 82

(D) 80

(E) 78

RESOLUCcedilAtildeO

00000000000

00000000000 - DEMO









111 litros ------- 100km

1 litro ------------ N km

111xN = 1x100

N = 100 111

N = 90 km

RESPOSTA A







a) 6

b) 7

c) 10

d) 14

RESOLUCcedilAtildeO






5(X+8) ndash 5(X-3) =X

5X+40-5X+15=X

00000000000

00000000000 - DEMO




X=55



RESPOSTA C







(A) 3572200

(B) 820000

(C) 357720

(D) 35772

(E) 33220

RESOLUCcedilAtildeO


125m3 = 12500 litros

153m3 = 15300 litros


= 8200 litros

RESPOSTA B



a) 80

b) 100

c) 75

d) 25

00000000000

00000000000 - DEMO




e) 108

RESOLUCcedilAtildeO



forma

905

XX

590

5 5

X X

690

5

X

75X

RESPOSTA C








(A) 15

(B) 16

(C) 17

(D) 18

(E) 19

RESOLUCcedilAtildeO


latas Ou seja



00000000000

00000000000 - DEMO





Igualando os totais

14n + 16 = 20n ndash 8

16 + 8 = 20n ndash 14n

24 = 6n

n = 4 prateleiras



prateleira

RESPOSTA D





gramas a

(A) 338

(B) 208

(C) 200

(D) 182

(E) 220

RESOLUCcedilAtildeO







capacidade total

35 -------------- 182g

00000000000

00000000000 - DEMO




40 --------------- P

35xP = 40x182

P = 40x182 35

P = 040x182 035

P = 208g





RESPOSTA E






(A) 15h 4 min

(B) 15h 15 min

(C) 15 h 24 min

(D) 15h 29 min

(E) 15 h 31 min

RESOLUCcedilAtildeO






RESPOSTA E

00000000000

00000000000 - DEMO








eacute igual a

(A) 125ordm

(B) 115ordm

(C) 110ordm

(D) 135ordm

(E) 130ordm

RESOLUCcedilAtildeO





180 = 90 + +

180 ndash 90 = +

90 = 2

902 =

45ordm =

Temos o seguinte

00000000000

00000000000 - DEMO






x + 45 = 90

x = 90 ndash 45

x = 45ordm




180 = 45 + 45 +

180 = 90 +

180 ndash 90 =

90ordm =


+ = 90 + 45 = 135ordm

RESPOSTA D




00000000000

00000000000 - DEMO






(A) 2

7

(B) 5

21

(C) 10

21

(D) 2

49

(E) 10

49

RESOLUCcedilAtildeO





de 27 x 56 = 17 x 53 = 521







enunciado





00000000000

00000000000 - DEMO







RESPOSTA C









(A) 040

(B) 036

(C) 032

(D) 030

(E) 028

RESPOSTA






eacute 160x025 = 040m3

RESPOSTA A






00000000000

00000000000 - DEMO







(A) 1

2

(B) 2

3

(C) 12

35

(D) 8

15

(E) 10

21

RESOLUCcedilAtildeO



P3 = Q5 = R7

Assim

P3 = R7

P = 3R7

Q5 = R7

Q = 5R7


Total = P + Q + R = 3R7 + 5R7 + R = 8R7 + 7R7 = 15R7


P + Q = 3R7 + 5R7 = 8R7



00000000000

00000000000 - DEMO









RESPOSTA D











(A) R$ 7200000

(B) R$ 8250000

(C) R$ 9400000

(D) R$ 11250000

(E) R$ 12000000

RESOLUCcedilAtildeO





300000 ------------- 22 + 28 + 30

Valor ------------ 22

00000000000

00000000000 - DEMO




300000 x 22 = Valor x 80

Valor = 82500 reais

RESPOSTA B







(A) 3

(B) 6

(C) 4

(D) 5

(E) 7

RESOLUCcedilAtildeO













menores

RESPOSTA D

00000000000

00000000000 - DEMO











(A) 23

(B) 78

(C) 14

(D) 38

(E) 98

RESOLUCcedilAtildeO



200 unidades ------------ 3E4

300 unidades ------------ N

200N = 300x3E4

2N = 3x3E4

2N = 9E4

N = 9E8





eacute




RESPOSTA B

00000000000

00000000000 - DEMO














(D) igual a 8

(E) maior que 13

RESOLUCcedilAtildeO



- 9 18 19 27 28 29 36 37 38 39




8cm3

RESPOSTA A




00000000000

00000000000 - DEMO





(A) 126

(B) 135

(C) 144

(D) 162

(E) 153

RESOLUCcedilAtildeO


medida igual a 10




102 = 62 + X2

100 = 36 + X2

64 = X2

8 = X


10

10

X

00000000000

00000000000 - DEMO







RESPOSTA C







(A) 5

(B) 6

(C) 4

(D) 7

(E) 3

RESOLUCcedilAtildeO






novamente 15




somem 15)


RESPOSTA B

00000000000

00000000000 - DEMO












(A) 128

(B) 130

(C) 137

(D) 140

(E) 145

RESOLUCcedilAtildeO





12 -------------- 87

100 ------------ V

12V = 10087

V = 100x8712

V = 725 votos

00000000000

00000000000 - DEMO







= 20


basta fazer


RESPOSTA E










(A) 33

(B) 19

(C) 24

(D) 15

(E) 23

RESOLUCcedilAtildeO



00000000000

00000000000 - DEMO










diagrama)


diagrama)

Ateacute aqui temos

00000000000

00000000000 - DEMO




Continuando






13)


D + F + G = 24

15 + G = 24

G = 9

D + G = 13

D + 9 = 13

D = 4

D + F = 15

4 + F = 15

F = 11

Ateacute aqui temos

00000000000

00000000000 - DEMO








RESPOSTA E










(A) 58

(B) 65

(C) 76

(D) 53

(E) 95

RESOLUCcedilAtildeO








00000000000

00000000000 - DEMO











diagrama temos

00000000000

00000000000 - DEMO






65

RESPOSTA B









(A) 36

(B) 54

(C) 58

(D) 56

(E) 48

RESOLUCcedilAtildeO

00000000000

00000000000 - DEMO
















2 x (90 + D) = 3 x (180 ndash D)

180 + 2D = 540 ndash 3D

D = 72 metros



3 metros -------------- 1 segundo


3t = 162

t = 54 segundos

RESPOSTA B



00000000000

00000000000 - DEMO






(A) 64

(B) 48

(C) 36

(D) 24

(E) 16

RESOLUCcedilAtildeO





4 x 4 x 4 = 43 = 64 dados

RESPOSTA A








00000000000

00000000000 - DEMO








RESOLUCcedilAtildeO






5

16F para a


sabemos que



3 1 5

16 10 16F F F F R

3 1 5

16 10 16F F F F R

160 30 16 50

160 160 160 160

FF F F R

64

160

FR

040F R

40F R



A esposa recebeu 5

03125 312516



00000000000

00000000000 - DEMO











Resposta C E E





igual a n









RESOLUCcedilAtildeO








00000000000

00000000000 - DEMO




220 = 22 x 5 x 11

284 = 22 x 71






amigos Item CORRETO











Resposta C C E C





retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2

RESOLUCcedilAtildeO



temos



40 = 2 x L + 2 x M

00000000000

00000000000 - DEMO




40 = 2 x (L + M)

40 2 = L + M

L + M = 20

M = 20 ndash L






Por outro lado


24 = 2 x (L + N)

24 2 = L + N

12 = L + N

00000000000

00000000000 - DEMO




N = 12 ndash L








(12 ndash L) = (13) x (20 ndash L)




163 = 2L3

16 = 2L

L = 162 = 8cm

Portanto





RESPOSTA D






A) 2

B) 4

00000000000

00000000000 - DEMO




C) 5

D) 8

E) 10

RESOLUCcedilAtildeO





simultaneamente




Probabilidade(A)



1Probabilidade(A)

5





Probabilidade(B)



1Probabilidade(B)

4








00000000000

00000000000 - DEMO





5 4


20



RESPOSTA C






A) 98

B) 112

C) 26

D) 66

E) 82

RESOLUCcedilAtildeO


Sabemos que


seguinte

5 114

8 5C C C

5 114

8 5C C C

40 25 814

40C


00000000000

00000000000 - DEMO






RESPOSTA D





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800

RESOLUCcedilAtildeO




Controle = 2P + 16




(2P+ 16) + 2P = 30

4P = 14

14 735

4 2P


RESPOSTA A

00000000000

00000000000 - DEMO







A) 6

B) 9

C) 12

D) 16

E) 25

RESOLUCcedilAtildeO




L = V ndash C






L = V ndash C

12 = V ndash 40

V = 52 reais






reais) Assim

L = V ndash C

-3 = V ndash 60

V = 57 reais



00000000000

00000000000 - DEMO








de 9

RESPOSTA B







de

A) 15 dias

B) 16 dias

C) 18 dias

D) 20 dias

E) 24 dias

RESOLUCcedilAtildeO





trabalho

15 7200 8

15 ndash 3 18000-7200 X

00000000000

00000000000 - DEMO








trabalho

15 7200 8

12 10800 X



trabalho

12 7200 8

15 10800 X


8 12 7200

15 10800

15

X

X dias

RESPOSTA A






00000000000

00000000000 - DEMO






A) 36

B) 72

C) 144

D) 216

E) 432

RESOLUCcedilAtildeO








3 a 3 C(43) = 4





classificado






00000000000

00000000000 - DEMO





fazendo 7 pontos

RESPOSTA E



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

RESOLUCcedilAtildeO




30 18 3

n 80 4







30 18 4

n 80 3


00000000000

00000000000 - DEMO




30 18 4

80 3n


30 18 4

80 3

30 80 3 18 4

30 80 3100

18 4

n

n

n


dias

RESPOSTA B





2 141

Entatildeo






RESOLUCcedilAtildeO

00000000000

00000000000 - DEMO







2520 metros



abaixo



90 90D

2 22 90D

22 90D

90 2D


90 141 1269D




RESPOSTA B



00000000000

00000000000 - DEMO









a) 10

b) 11

c) 15

d) 16

e) 24

RESOLUCcedilAtildeO














RESPOSTA B




mm do ponto A

00000000000

00000000000 - DEMO





(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

RESOLUCcedilAtildeO




AD = AB + BC + CD = 658


BD = BC + CD = 419


AC = AB + BC = 487


que

AB + BC + CD = 658

BC + CD = 419

Logo

AB + 419 = 658

AB = 239mm


AB + BC + CD = 658

AB + BC = 487

00000000000

00000000000 - DEMO




Logo

487 + CD = 658

CD = 171mm

Assim

AB + BC + CD = 658

239 + BC + 171 = 658

BC = 248mm

RESPOSTA E


Abraccedilo

Prof Arthur Lima

Periscope ARTHURRRL


00000000000 - DEMO



















a) 78

b) 76

c) 74

d) 72






00000000000

00000000000 - DEMO





em reais












a

a) 14

b) 18

c) 22

d) 28





a) 120

b) 240

c) 360

d) 480




00000000000

00000000000 - DEMO






(A) 90

(B) 84

(C) 82

(D) 80

(E) 78







a) 6

b) 7

c) 10

d) 14







(A) 3572200

(B) 820000

(C) 357720

(D) 35772

(E) 33220

00000000000

00000000000 - DEMO






a) 80

b) 100

c) 75

d) 25

e) 108








(A) 15

(B) 16

(C) 17

(D) 18

(E) 19





gramas a

(A) 338

(B) 208

(C) 200

(D) 182

(E) 220

00000000000

00000000000 - DEMO









(A) 15h 4 min

(B) 15h 15 min

(C) 15 h 24 min

(D) 15h 29 min

(E) 15 h 31 min





eacute igual a

(A) 125ordm

(B) 115ordm

(C) 110ordm

(D) 135ordm

(E) 130ordm






00000000000

00000000000 - DEMO




(A) 2

7

(B) 5

21

(C) 10

21

(D) 2

49

(E) 10

49









(A) 040

(B) 036

(C) 032

(D) 030

(E) 028









00000000000

00000000000 - DEMO




(A) 1

2

(B) 2

3

(C) 12

35

(D) 8

15

(E) 10

21











(A) R$ 7200000

(B) R$ 8250000

(C) R$ 9400000

(D) R$ 11250000

(E) R$ 12000000







00000000000

00000000000 - DEMO




(A) 3

(B) 6

(C) 4

(D) 5

(E) 7








(A) 23

(B) 78

(C) 14

(D) 38

(E) 98











(D) igual a 8

(E) maior que 13

00000000000

00000000000 - DEMO








(A) 126

(B) 135

(C) 144

(D) 162

(E) 153







(A) 5

(B) 6

(C) 4

(D) 7

(E) 3



00000000000

00000000000 - DEMO










(A) 128

(B) 130

(C) 137

(D) 140

(E) 145










(A) 33

(B) 19

(C) 24

00000000000

00000000000 - DEMO




(D) 15

(E) 23










(A) 58

(B) 65

(C) 76

(D) 53

(E) 95









(A) 36

(B) 54

(C) 58

(D) 56

(E) 48

00000000000

00000000000 - DEMO








(A) 64

(B) 48

(C) 36

(D) 24

(E) 16









00000000000

00000000000 - DEMO











igual a n













retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2






A) 2

B) 4

C) 5

D) 8

E) 10






A) 98

B) 112

C) 26

00000000000

00000000000 - DEMO




D) 66

E) 82





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800




A) 6

B) 9

C) 12

D) 16

E) 25







de

A) 15 dias

B) 16 dias

00000000000

00000000000 - DEMO




C) 18 dias

D) 20 dias

E) 24 dias








A) 36

B) 72

C) 144

D) 216

E) 432



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

00000000000

00000000000 - DEMO








2 141

Entatildeo













a) 10

b) 11

c) 15

d) 16

e) 24

00000000000

00000000000 - DEMO







mm do ponto A


(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

00000000000

00000000000 - DEMO




01 D 02 A 03 B 04 D 05 C 06 A 07 C

08 B 09 C 10 D 11 E 12 E 13 D 14 C

15 A 16 D 17 B 18 D 19 B 20 A 21 C

22 B 23 E 24 E 25 B 26 B 27 A 28 CEE

29 CCEC 30 D 31 C 32 D 33 A 34 B 35 A

36 E 37 B 38 B 39 B 40 E

00000000000

00000000000 - DEMO









111 litros ------- 100km

1 litro ------------ N km

111xN = 1x100

N = 100 111

N = 90 km

RESPOSTA A







a) 6

b) 7

c) 10

d) 14

RESOLUCcedilAtildeO






5(X+8) ndash 5(X-3) =X

5X+40-5X+15=X

00000000000

00000000000 - DEMO




X=55



RESPOSTA C







(A) 3572200

(B) 820000

(C) 357720

(D) 35772

(E) 33220

RESOLUCcedilAtildeO


125m3 = 12500 litros

153m3 = 15300 litros


= 8200 litros

RESPOSTA B



a) 80

b) 100

c) 75

d) 25

00000000000

00000000000 - DEMO




e) 108

RESOLUCcedilAtildeO



forma

905

XX

590

5 5

X X

690

5

X

75X

RESPOSTA C








(A) 15

(B) 16

(C) 17

(D) 18

(E) 19

RESOLUCcedilAtildeO


latas Ou seja



00000000000

00000000000 - DEMO





Igualando os totais

14n + 16 = 20n ndash 8

16 + 8 = 20n ndash 14n

24 = 6n

n = 4 prateleiras



prateleira

RESPOSTA D





gramas a

(A) 338

(B) 208

(C) 200

(D) 182

(E) 220

RESOLUCcedilAtildeO







capacidade total

35 -------------- 182g

00000000000

00000000000 - DEMO




40 --------------- P

35xP = 40x182

P = 40x182 35

P = 040x182 035

P = 208g





RESPOSTA E






(A) 15h 4 min

(B) 15h 15 min

(C) 15 h 24 min

(D) 15h 29 min

(E) 15 h 31 min

RESOLUCcedilAtildeO






RESPOSTA E

00000000000

00000000000 - DEMO








eacute igual a

(A) 125ordm

(B) 115ordm

(C) 110ordm

(D) 135ordm

(E) 130ordm

RESOLUCcedilAtildeO





180 = 90 + +

180 ndash 90 = +

90 = 2

902 =

45ordm =

Temos o seguinte

00000000000

00000000000 - DEMO






x + 45 = 90

x = 90 ndash 45

x = 45ordm




180 = 45 + 45 +

180 = 90 +

180 ndash 90 =

90ordm =


+ = 90 + 45 = 135ordm

RESPOSTA D




00000000000

00000000000 - DEMO






(A) 2

7

(B) 5

21

(C) 10

21

(D) 2

49

(E) 10

49

RESOLUCcedilAtildeO





de 27 x 56 = 17 x 53 = 521







enunciado





00000000000

00000000000 - DEMO







RESPOSTA C









(A) 040

(B) 036

(C) 032

(D) 030

(E) 028

RESPOSTA






eacute 160x025 = 040m3

RESPOSTA A






00000000000

00000000000 - DEMO







(A) 1

2

(B) 2

3

(C) 12

35

(D) 8

15

(E) 10

21

RESOLUCcedilAtildeO



P3 = Q5 = R7

Assim

P3 = R7

P = 3R7

Q5 = R7

Q = 5R7


Total = P + Q + R = 3R7 + 5R7 + R = 8R7 + 7R7 = 15R7


P + Q = 3R7 + 5R7 = 8R7



00000000000

00000000000 - DEMO









RESPOSTA D











(A) R$ 7200000

(B) R$ 8250000

(C) R$ 9400000

(D) R$ 11250000

(E) R$ 12000000

RESOLUCcedilAtildeO





300000 ------------- 22 + 28 + 30

Valor ------------ 22

00000000000

00000000000 - DEMO




300000 x 22 = Valor x 80

Valor = 82500 reais

RESPOSTA B







(A) 3

(B) 6

(C) 4

(D) 5

(E) 7

RESOLUCcedilAtildeO













menores

RESPOSTA D

00000000000

00000000000 - DEMO











(A) 23

(B) 78

(C) 14

(D) 38

(E) 98

RESOLUCcedilAtildeO



200 unidades ------------ 3E4

300 unidades ------------ N

200N = 300x3E4

2N = 3x3E4

2N = 9E4

N = 9E8





eacute




RESPOSTA B

00000000000

00000000000 - DEMO














(D) igual a 8

(E) maior que 13

RESOLUCcedilAtildeO



- 9 18 19 27 28 29 36 37 38 39




8cm3

RESPOSTA A




00000000000

00000000000 - DEMO





(A) 126

(B) 135

(C) 144

(D) 162

(E) 153

RESOLUCcedilAtildeO


medida igual a 10




102 = 62 + X2

100 = 36 + X2

64 = X2

8 = X


10

10

X

00000000000

00000000000 - DEMO







RESPOSTA C







(A) 5

(B) 6

(C) 4

(D) 7

(E) 3

RESOLUCcedilAtildeO






novamente 15




somem 15)


RESPOSTA B

00000000000

00000000000 - DEMO












(A) 128

(B) 130

(C) 137

(D) 140

(E) 145

RESOLUCcedilAtildeO





12 -------------- 87

100 ------------ V

12V = 10087

V = 100x8712

V = 725 votos

00000000000

00000000000 - DEMO







= 20


basta fazer


RESPOSTA E










(A) 33

(B) 19

(C) 24

(D) 15

(E) 23

RESOLUCcedilAtildeO



00000000000

00000000000 - DEMO










diagrama)


diagrama)

Ateacute aqui temos

00000000000

00000000000 - DEMO




Continuando






13)


D + F + G = 24

15 + G = 24

G = 9

D + G = 13

D + 9 = 13

D = 4

D + F = 15

4 + F = 15

F = 11

Ateacute aqui temos

00000000000

00000000000 - DEMO








RESPOSTA E










(A) 58

(B) 65

(C) 76

(D) 53

(E) 95

RESOLUCcedilAtildeO








00000000000

00000000000 - DEMO











diagrama temos

00000000000

00000000000 - DEMO






65

RESPOSTA B









(A) 36

(B) 54

(C) 58

(D) 56

(E) 48

RESOLUCcedilAtildeO

00000000000

00000000000 - DEMO
















2 x (90 + D) = 3 x (180 ndash D)

180 + 2D = 540 ndash 3D

D = 72 metros



3 metros -------------- 1 segundo


3t = 162

t = 54 segundos

RESPOSTA B



00000000000

00000000000 - DEMO






(A) 64

(B) 48

(C) 36

(D) 24

(E) 16

RESOLUCcedilAtildeO





4 x 4 x 4 = 43 = 64 dados

RESPOSTA A








00000000000

00000000000 - DEMO








RESOLUCcedilAtildeO






5

16F para a


sabemos que



3 1 5

16 10 16F F F F R

3 1 5

16 10 16F F F F R

160 30 16 50

160 160 160 160

FF F F R

64

160

FR

040F R

40F R



A esposa recebeu 5

03125 312516



00000000000

00000000000 - DEMO











Resposta C E E





igual a n









RESOLUCcedilAtildeO








00000000000

00000000000 - DEMO




220 = 22 x 5 x 11

284 = 22 x 71






amigos Item CORRETO











Resposta C C E C





retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2

RESOLUCcedilAtildeO



temos



40 = 2 x L + 2 x M

00000000000

00000000000 - DEMO




40 = 2 x (L + M)

40 2 = L + M

L + M = 20

M = 20 ndash L






Por outro lado


24 = 2 x (L + N)

24 2 = L + N

12 = L + N

00000000000

00000000000 - DEMO




N = 12 ndash L








(12 ndash L) = (13) x (20 ndash L)




163 = 2L3

16 = 2L

L = 162 = 8cm

Portanto





RESPOSTA D






A) 2

B) 4

00000000000

00000000000 - DEMO




C) 5

D) 8

E) 10

RESOLUCcedilAtildeO





simultaneamente




Probabilidade(A)



1Probabilidade(A)

5





Probabilidade(B)



1Probabilidade(B)

4








00000000000

00000000000 - DEMO





5 4


20



RESPOSTA C






A) 98

B) 112

C) 26

D) 66

E) 82

RESOLUCcedilAtildeO


Sabemos que


seguinte

5 114

8 5C C C

5 114

8 5C C C

40 25 814

40C


00000000000

00000000000 - DEMO






RESPOSTA D





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800

RESOLUCcedilAtildeO




Controle = 2P + 16




(2P+ 16) + 2P = 30

4P = 14

14 735

4 2P


RESPOSTA A

00000000000

00000000000 - DEMO







A) 6

B) 9

C) 12

D) 16

E) 25

RESOLUCcedilAtildeO




L = V ndash C






L = V ndash C

12 = V ndash 40

V = 52 reais






reais) Assim

L = V ndash C

-3 = V ndash 60

V = 57 reais



00000000000

00000000000 - DEMO








de 9

RESPOSTA B







de

A) 15 dias

B) 16 dias

C) 18 dias

D) 20 dias

E) 24 dias

RESOLUCcedilAtildeO





trabalho

15 7200 8

15 ndash 3 18000-7200 X

00000000000

00000000000 - DEMO








trabalho

15 7200 8

12 10800 X



trabalho

12 7200 8

15 10800 X


8 12 7200

15 10800

15

X

X dias

RESPOSTA A






00000000000

00000000000 - DEMO






A) 36

B) 72

C) 144

D) 216

E) 432

RESOLUCcedilAtildeO








3 a 3 C(43) = 4





classificado






00000000000

00000000000 - DEMO





fazendo 7 pontos

RESPOSTA E



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

RESOLUCcedilAtildeO




30 18 3

n 80 4







30 18 4

n 80 3


00000000000

00000000000 - DEMO




30 18 4

80 3n


30 18 4

80 3

30 80 3 18 4

30 80 3100

18 4

n

n

n


dias

RESPOSTA B





2 141

Entatildeo






RESOLUCcedilAtildeO

00000000000

00000000000 - DEMO







2520 metros



abaixo



90 90D

2 22 90D

22 90D

90 2D


90 141 1269D




RESPOSTA B



00000000000

00000000000 - DEMO









a) 10

b) 11

c) 15

d) 16

e) 24

RESOLUCcedilAtildeO














RESPOSTA B




mm do ponto A

00000000000

00000000000 - DEMO





(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

RESOLUCcedilAtildeO




AD = AB + BC + CD = 658


BD = BC + CD = 419


AC = AB + BC = 487


que

AB + BC + CD = 658

BC + CD = 419

Logo

AB + 419 = 658

AB = 239mm


AB + BC + CD = 658

AB + BC = 487

00000000000

00000000000 - DEMO




Logo

487 + CD = 658

CD = 171mm

Assim

AB + BC + CD = 658

239 + BC + 171 = 658

BC = 248mm

RESPOSTA E


Abraccedilo

Prof Arthur Lima

Periscope ARTHURRRL


00000000000 - DEMO



















a) 78

b) 76

c) 74

d) 72






00000000000

00000000000 - DEMO





em reais












a

a) 14

b) 18

c) 22

d) 28





a) 120

b) 240

c) 360

d) 480




00000000000

00000000000 - DEMO






(A) 90

(B) 84

(C) 82

(D) 80

(E) 78







a) 6

b) 7

c) 10

d) 14







(A) 3572200

(B) 820000

(C) 357720

(D) 35772

(E) 33220

00000000000

00000000000 - DEMO






a) 80

b) 100

c) 75

d) 25

e) 108








(A) 15

(B) 16

(C) 17

(D) 18

(E) 19





gramas a

(A) 338

(B) 208

(C) 200

(D) 182

(E) 220

00000000000

00000000000 - DEMO









(A) 15h 4 min

(B) 15h 15 min

(C) 15 h 24 min

(D) 15h 29 min

(E) 15 h 31 min





eacute igual a

(A) 125ordm

(B) 115ordm

(C) 110ordm

(D) 135ordm

(E) 130ordm






00000000000

00000000000 - DEMO




(A) 2

7

(B) 5

21

(C) 10

21

(D) 2

49

(E) 10

49









(A) 040

(B) 036

(C) 032

(D) 030

(E) 028









00000000000

00000000000 - DEMO




(A) 1

2

(B) 2

3

(C) 12

35

(D) 8

15

(E) 10

21











(A) R$ 7200000

(B) R$ 8250000

(C) R$ 9400000

(D) R$ 11250000

(E) R$ 12000000







00000000000

00000000000 - DEMO




(A) 3

(B) 6

(C) 4

(D) 5

(E) 7








(A) 23

(B) 78

(C) 14

(D) 38

(E) 98











(D) igual a 8

(E) maior que 13

00000000000

00000000000 - DEMO








(A) 126

(B) 135

(C) 144

(D) 162

(E) 153







(A) 5

(B) 6

(C) 4

(D) 7

(E) 3



00000000000

00000000000 - DEMO










(A) 128

(B) 130

(C) 137

(D) 140

(E) 145










(A) 33

(B) 19

(C) 24

00000000000

00000000000 - DEMO




(D) 15

(E) 23










(A) 58

(B) 65

(C) 76

(D) 53

(E) 95









(A) 36

(B) 54

(C) 58

(D) 56

(E) 48

00000000000

00000000000 - DEMO








(A) 64

(B) 48

(C) 36

(D) 24

(E) 16









00000000000

00000000000 - DEMO











igual a n













retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2






A) 2

B) 4

C) 5

D) 8

E) 10






A) 98

B) 112

C) 26

00000000000

00000000000 - DEMO




D) 66

E) 82





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800




A) 6

B) 9

C) 12

D) 16

E) 25







de

A) 15 dias

B) 16 dias

00000000000

00000000000 - DEMO




C) 18 dias

D) 20 dias

E) 24 dias








A) 36

B) 72

C) 144

D) 216

E) 432



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

00000000000

00000000000 - DEMO








2 141

Entatildeo













a) 10

b) 11

c) 15

d) 16

e) 24

00000000000

00000000000 - DEMO







mm do ponto A


(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

00000000000

00000000000 - DEMO




01 D 02 A 03 B 04 D 05 C 06 A 07 C

08 B 09 C 10 D 11 E 12 E 13 D 14 C

15 A 16 D 17 B 18 D 19 B 20 A 21 C

22 B 23 E 24 E 25 B 26 B 27 A 28 CEE

29 CCEC 30 D 31 C 32 D 33 A 34 B 35 A

36 E 37 B 38 B 39 B 40 E

00000000000

00000000000 - DEMO




X=55



RESPOSTA C







(A) 3572200

(B) 820000

(C) 357720

(D) 35772

(E) 33220

RESOLUCcedilAtildeO


125m3 = 12500 litros

153m3 = 15300 litros


= 8200 litros

RESPOSTA B



a) 80

b) 100

c) 75

d) 25

00000000000

00000000000 - DEMO




e) 108

RESOLUCcedilAtildeO



forma

905

XX

590

5 5

X X

690

5

X

75X

RESPOSTA C








(A) 15

(B) 16

(C) 17

(D) 18

(E) 19

RESOLUCcedilAtildeO


latas Ou seja



00000000000

00000000000 - DEMO





Igualando os totais

14n + 16 = 20n ndash 8

16 + 8 = 20n ndash 14n

24 = 6n

n = 4 prateleiras



prateleira

RESPOSTA D





gramas a

(A) 338

(B) 208

(C) 200

(D) 182

(E) 220

RESOLUCcedilAtildeO







capacidade total

35 -------------- 182g

00000000000

00000000000 - DEMO




40 --------------- P

35xP = 40x182

P = 40x182 35

P = 040x182 035

P = 208g





RESPOSTA E






(A) 15h 4 min

(B) 15h 15 min

(C) 15 h 24 min

(D) 15h 29 min

(E) 15 h 31 min

RESOLUCcedilAtildeO






RESPOSTA E

00000000000

00000000000 - DEMO








eacute igual a

(A) 125ordm

(B) 115ordm

(C) 110ordm

(D) 135ordm

(E) 130ordm

RESOLUCcedilAtildeO





180 = 90 + +

180 ndash 90 = +

90 = 2

902 =

45ordm =

Temos o seguinte

00000000000

00000000000 - DEMO






x + 45 = 90

x = 90 ndash 45

x = 45ordm




180 = 45 + 45 +

180 = 90 +

180 ndash 90 =

90ordm =


+ = 90 + 45 = 135ordm

RESPOSTA D




00000000000

00000000000 - DEMO






(A) 2

7

(B) 5

21

(C) 10

21

(D) 2

49

(E) 10

49

RESOLUCcedilAtildeO





de 27 x 56 = 17 x 53 = 521







enunciado





00000000000

00000000000 - DEMO







RESPOSTA C









(A) 040

(B) 036

(C) 032

(D) 030

(E) 028

RESPOSTA






eacute 160x025 = 040m3

RESPOSTA A






00000000000

00000000000 - DEMO







(A) 1

2

(B) 2

3

(C) 12

35

(D) 8

15

(E) 10

21

RESOLUCcedilAtildeO



P3 = Q5 = R7

Assim

P3 = R7

P = 3R7

Q5 = R7

Q = 5R7


Total = P + Q + R = 3R7 + 5R7 + R = 8R7 + 7R7 = 15R7


P + Q = 3R7 + 5R7 = 8R7



00000000000

00000000000 - DEMO









RESPOSTA D











(A) R$ 7200000

(B) R$ 8250000

(C) R$ 9400000

(D) R$ 11250000

(E) R$ 12000000

RESOLUCcedilAtildeO





300000 ------------- 22 + 28 + 30

Valor ------------ 22

00000000000

00000000000 - DEMO




300000 x 22 = Valor x 80

Valor = 82500 reais

RESPOSTA B







(A) 3

(B) 6

(C) 4

(D) 5

(E) 7

RESOLUCcedilAtildeO













menores

RESPOSTA D

00000000000

00000000000 - DEMO











(A) 23

(B) 78

(C) 14

(D) 38

(E) 98

RESOLUCcedilAtildeO



200 unidades ------------ 3E4

300 unidades ------------ N

200N = 300x3E4

2N = 3x3E4

2N = 9E4

N = 9E8





eacute




RESPOSTA B

00000000000

00000000000 - DEMO














(D) igual a 8

(E) maior que 13

RESOLUCcedilAtildeO



- 9 18 19 27 28 29 36 37 38 39




8cm3

RESPOSTA A




00000000000

00000000000 - DEMO





(A) 126

(B) 135

(C) 144

(D) 162

(E) 153

RESOLUCcedilAtildeO


medida igual a 10




102 = 62 + X2

100 = 36 + X2

64 = X2

8 = X


10

10

X

00000000000

00000000000 - DEMO







RESPOSTA C







(A) 5

(B) 6

(C) 4

(D) 7

(E) 3

RESOLUCcedilAtildeO






novamente 15




somem 15)


RESPOSTA B

00000000000

00000000000 - DEMO












(A) 128

(B) 130

(C) 137

(D) 140

(E) 145

RESOLUCcedilAtildeO





12 -------------- 87

100 ------------ V

12V = 10087

V = 100x8712

V = 725 votos

00000000000

00000000000 - DEMO







= 20


basta fazer


RESPOSTA E










(A) 33

(B) 19

(C) 24

(D) 15

(E) 23

RESOLUCcedilAtildeO



00000000000

00000000000 - DEMO










diagrama)


diagrama)

Ateacute aqui temos

00000000000

00000000000 - DEMO




Continuando






13)


D + F + G = 24

15 + G = 24

G = 9

D + G = 13

D + 9 = 13

D = 4

D + F = 15

4 + F = 15

F = 11

Ateacute aqui temos

00000000000

00000000000 - DEMO








RESPOSTA E










(A) 58

(B) 65

(C) 76

(D) 53

(E) 95

RESOLUCcedilAtildeO








00000000000

00000000000 - DEMO











diagrama temos

00000000000

00000000000 - DEMO






65

RESPOSTA B









(A) 36

(B) 54

(C) 58

(D) 56

(E) 48

RESOLUCcedilAtildeO

00000000000

00000000000 - DEMO
















2 x (90 + D) = 3 x (180 ndash D)

180 + 2D = 540 ndash 3D

D = 72 metros



3 metros -------------- 1 segundo


3t = 162

t = 54 segundos

RESPOSTA B



00000000000

00000000000 - DEMO






(A) 64

(B) 48

(C) 36

(D) 24

(E) 16

RESOLUCcedilAtildeO





4 x 4 x 4 = 43 = 64 dados

RESPOSTA A








00000000000

00000000000 - DEMO








RESOLUCcedilAtildeO






5

16F para a


sabemos que



3 1 5

16 10 16F F F F R

3 1 5

16 10 16F F F F R

160 30 16 50

160 160 160 160

FF F F R

64

160

FR

040F R

40F R



A esposa recebeu 5

03125 312516



00000000000

00000000000 - DEMO











Resposta C E E





igual a n









RESOLUCcedilAtildeO








00000000000

00000000000 - DEMO




220 = 22 x 5 x 11

284 = 22 x 71






amigos Item CORRETO











Resposta C C E C





retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2

RESOLUCcedilAtildeO



temos



40 = 2 x L + 2 x M

00000000000

00000000000 - DEMO




40 = 2 x (L + M)

40 2 = L + M

L + M = 20

M = 20 ndash L






Por outro lado


24 = 2 x (L + N)

24 2 = L + N

12 = L + N

00000000000

00000000000 - DEMO




N = 12 ndash L








(12 ndash L) = (13) x (20 ndash L)




163 = 2L3

16 = 2L

L = 162 = 8cm

Portanto





RESPOSTA D






A) 2

B) 4

00000000000

00000000000 - DEMO




C) 5

D) 8

E) 10

RESOLUCcedilAtildeO





simultaneamente




Probabilidade(A)



1Probabilidade(A)

5





Probabilidade(B)



1Probabilidade(B)

4








00000000000

00000000000 - DEMO





5 4


20



RESPOSTA C






A) 98

B) 112

C) 26

D) 66

E) 82

RESOLUCcedilAtildeO


Sabemos que


seguinte

5 114

8 5C C C

5 114

8 5C C C

40 25 814

40C


00000000000

00000000000 - DEMO






RESPOSTA D





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800

RESOLUCcedilAtildeO




Controle = 2P + 16




(2P+ 16) + 2P = 30

4P = 14

14 735

4 2P


RESPOSTA A

00000000000

00000000000 - DEMO







A) 6

B) 9

C) 12

D) 16

E) 25

RESOLUCcedilAtildeO




L = V ndash C






L = V ndash C

12 = V ndash 40

V = 52 reais






reais) Assim

L = V ndash C

-3 = V ndash 60

V = 57 reais



00000000000

00000000000 - DEMO








de 9

RESPOSTA B







de

A) 15 dias

B) 16 dias

C) 18 dias

D) 20 dias

E) 24 dias

RESOLUCcedilAtildeO





trabalho

15 7200 8

15 ndash 3 18000-7200 X

00000000000

00000000000 - DEMO








trabalho

15 7200 8

12 10800 X



trabalho

12 7200 8

15 10800 X


8 12 7200

15 10800

15

X

X dias

RESPOSTA A






00000000000

00000000000 - DEMO






A) 36

B) 72

C) 144

D) 216

E) 432

RESOLUCcedilAtildeO








3 a 3 C(43) = 4





classificado






00000000000

00000000000 - DEMO





fazendo 7 pontos

RESPOSTA E



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

RESOLUCcedilAtildeO




30 18 3

n 80 4







30 18 4

n 80 3


00000000000

00000000000 - DEMO




30 18 4

80 3n


30 18 4

80 3

30 80 3 18 4

30 80 3100

18 4

n

n

n


dias

RESPOSTA B





2 141

Entatildeo






RESOLUCcedilAtildeO

00000000000

00000000000 - DEMO







2520 metros



abaixo



90 90D

2 22 90D

22 90D

90 2D


90 141 1269D




RESPOSTA B



00000000000

00000000000 - DEMO









a) 10

b) 11

c) 15

d) 16

e) 24

RESOLUCcedilAtildeO














RESPOSTA B




mm do ponto A

00000000000

00000000000 - DEMO





(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

RESOLUCcedilAtildeO




AD = AB + BC + CD = 658


BD = BC + CD = 419


AC = AB + BC = 487


que

AB + BC + CD = 658

BC + CD = 419

Logo

AB + 419 = 658

AB = 239mm


AB + BC + CD = 658

AB + BC = 487

00000000000

00000000000 - DEMO




Logo

487 + CD = 658

CD = 171mm

Assim

AB + BC + CD = 658

239 + BC + 171 = 658

BC = 248mm

RESPOSTA E


Abraccedilo

Prof Arthur Lima

Periscope ARTHURRRL


00000000000 - DEMO



















a) 78

b) 76

c) 74

d) 72






00000000000

00000000000 - DEMO





em reais












a

a) 14

b) 18

c) 22

d) 28





a) 120

b) 240

c) 360

d) 480




00000000000

00000000000 - DEMO






(A) 90

(B) 84

(C) 82

(D) 80

(E) 78







a) 6

b) 7

c) 10

d) 14







(A) 3572200

(B) 820000

(C) 357720

(D) 35772

(E) 33220

00000000000

00000000000 - DEMO






a) 80

b) 100

c) 75

d) 25

e) 108








(A) 15

(B) 16

(C) 17

(D) 18

(E) 19





gramas a

(A) 338

(B) 208

(C) 200

(D) 182

(E) 220

00000000000

00000000000 - DEMO









(A) 15h 4 min

(B) 15h 15 min

(C) 15 h 24 min

(D) 15h 29 min

(E) 15 h 31 min





eacute igual a

(A) 125ordm

(B) 115ordm

(C) 110ordm

(D) 135ordm

(E) 130ordm






00000000000

00000000000 - DEMO




(A) 2

7

(B) 5

21

(C) 10

21

(D) 2

49

(E) 10

49









(A) 040

(B) 036

(C) 032

(D) 030

(E) 028









00000000000

00000000000 - DEMO




(A) 1

2

(B) 2

3

(C) 12

35

(D) 8

15

(E) 10

21











(A) R$ 7200000

(B) R$ 8250000

(C) R$ 9400000

(D) R$ 11250000

(E) R$ 12000000







00000000000

00000000000 - DEMO




(A) 3

(B) 6

(C) 4

(D) 5

(E) 7








(A) 23

(B) 78

(C) 14

(D) 38

(E) 98











(D) igual a 8

(E) maior que 13

00000000000

00000000000 - DEMO








(A) 126

(B) 135

(C) 144

(D) 162

(E) 153







(A) 5

(B) 6

(C) 4

(D) 7

(E) 3



00000000000

00000000000 - DEMO










(A) 128

(B) 130

(C) 137

(D) 140

(E) 145










(A) 33

(B) 19

(C) 24

00000000000

00000000000 - DEMO




(D) 15

(E) 23










(A) 58

(B) 65

(C) 76

(D) 53

(E) 95









(A) 36

(B) 54

(C) 58

(D) 56

(E) 48

00000000000

00000000000 - DEMO








(A) 64

(B) 48

(C) 36

(D) 24

(E) 16









00000000000

00000000000 - DEMO











igual a n













retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2






A) 2

B) 4

C) 5

D) 8

E) 10






A) 98

B) 112

C) 26

00000000000

00000000000 - DEMO




D) 66

E) 82





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800




A) 6

B) 9

C) 12

D) 16

E) 25







de

A) 15 dias

B) 16 dias

00000000000

00000000000 - DEMO




C) 18 dias

D) 20 dias

E) 24 dias








A) 36

B) 72

C) 144

D) 216

E) 432



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

00000000000

00000000000 - DEMO








2 141

Entatildeo













a) 10

b) 11

c) 15

d) 16

e) 24

00000000000

00000000000 - DEMO







mm do ponto A


(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

00000000000

00000000000 - DEMO




01 D 02 A 03 B 04 D 05 C 06 A 07 C

08 B 09 C 10 D 11 E 12 E 13 D 14 C

15 A 16 D 17 B 18 D 19 B 20 A 21 C

22 B 23 E 24 E 25 B 26 B 27 A 28 CEE

29 CCEC 30 D 31 C 32 D 33 A 34 B 35 A

36 E 37 B 38 B 39 B 40 E

00000000000

00000000000 - DEMO




e) 108

RESOLUCcedilAtildeO



forma

905

XX

590

5 5

X X

690

5

X

75X

RESPOSTA C








(A) 15

(B) 16

(C) 17

(D) 18

(E) 19

RESOLUCcedilAtildeO


latas Ou seja



00000000000

00000000000 - DEMO





Igualando os totais

14n + 16 = 20n ndash 8

16 + 8 = 20n ndash 14n

24 = 6n

n = 4 prateleiras



prateleira

RESPOSTA D





gramas a

(A) 338

(B) 208

(C) 200

(D) 182

(E) 220

RESOLUCcedilAtildeO







capacidade total

35 -------------- 182g

00000000000

00000000000 - DEMO




40 --------------- P

35xP = 40x182

P = 40x182 35

P = 040x182 035

P = 208g





RESPOSTA E






(A) 15h 4 min

(B) 15h 15 min

(C) 15 h 24 min

(D) 15h 29 min

(E) 15 h 31 min

RESOLUCcedilAtildeO






RESPOSTA E

00000000000

00000000000 - DEMO








eacute igual a

(A) 125ordm

(B) 115ordm

(C) 110ordm

(D) 135ordm

(E) 130ordm

RESOLUCcedilAtildeO





180 = 90 + +

180 ndash 90 = +

90 = 2

902 =

45ordm =

Temos o seguinte

00000000000

00000000000 - DEMO






x + 45 = 90

x = 90 ndash 45

x = 45ordm




180 = 45 + 45 +

180 = 90 +

180 ndash 90 =

90ordm =


+ = 90 + 45 = 135ordm

RESPOSTA D




00000000000

00000000000 - DEMO






(A) 2

7

(B) 5

21

(C) 10

21

(D) 2

49

(E) 10

49

RESOLUCcedilAtildeO





de 27 x 56 = 17 x 53 = 521







enunciado





00000000000

00000000000 - DEMO







RESPOSTA C









(A) 040

(B) 036

(C) 032

(D) 030

(E) 028

RESPOSTA






eacute 160x025 = 040m3

RESPOSTA A






00000000000

00000000000 - DEMO







(A) 1

2

(B) 2

3

(C) 12

35

(D) 8

15

(E) 10

21

RESOLUCcedilAtildeO



P3 = Q5 = R7

Assim

P3 = R7

P = 3R7

Q5 = R7

Q = 5R7


Total = P + Q + R = 3R7 + 5R7 + R = 8R7 + 7R7 = 15R7


P + Q = 3R7 + 5R7 = 8R7



00000000000

00000000000 - DEMO









RESPOSTA D











(A) R$ 7200000

(B) R$ 8250000

(C) R$ 9400000

(D) R$ 11250000

(E) R$ 12000000

RESOLUCcedilAtildeO





300000 ------------- 22 + 28 + 30

Valor ------------ 22

00000000000

00000000000 - DEMO




300000 x 22 = Valor x 80

Valor = 82500 reais

RESPOSTA B







(A) 3

(B) 6

(C) 4

(D) 5

(E) 7

RESOLUCcedilAtildeO













menores

RESPOSTA D

00000000000

00000000000 - DEMO











(A) 23

(B) 78

(C) 14

(D) 38

(E) 98

RESOLUCcedilAtildeO



200 unidades ------------ 3E4

300 unidades ------------ N

200N = 300x3E4

2N = 3x3E4

2N = 9E4

N = 9E8





eacute




RESPOSTA B

00000000000

00000000000 - DEMO














(D) igual a 8

(E) maior que 13

RESOLUCcedilAtildeO



- 9 18 19 27 28 29 36 37 38 39




8cm3

RESPOSTA A




00000000000

00000000000 - DEMO





(A) 126

(B) 135

(C) 144

(D) 162

(E) 153

RESOLUCcedilAtildeO


medida igual a 10




102 = 62 + X2

100 = 36 + X2

64 = X2

8 = X


10

10

X

00000000000

00000000000 - DEMO







RESPOSTA C







(A) 5

(B) 6

(C) 4

(D) 7

(E) 3

RESOLUCcedilAtildeO






novamente 15




somem 15)


RESPOSTA B

00000000000

00000000000 - DEMO












(A) 128

(B) 130

(C) 137

(D) 140

(E) 145

RESOLUCcedilAtildeO





12 -------------- 87

100 ------------ V

12V = 10087

V = 100x8712

V = 725 votos

00000000000

00000000000 - DEMO







= 20


basta fazer


RESPOSTA E










(A) 33

(B) 19

(C) 24

(D) 15

(E) 23

RESOLUCcedilAtildeO



00000000000

00000000000 - DEMO










diagrama)


diagrama)

Ateacute aqui temos

00000000000

00000000000 - DEMO




Continuando






13)


D + F + G = 24

15 + G = 24

G = 9

D + G = 13

D + 9 = 13

D = 4

D + F = 15

4 + F = 15

F = 11

Ateacute aqui temos

00000000000

00000000000 - DEMO








RESPOSTA E










(A) 58

(B) 65

(C) 76

(D) 53

(E) 95

RESOLUCcedilAtildeO








00000000000

00000000000 - DEMO











diagrama temos

00000000000

00000000000 - DEMO






65

RESPOSTA B









(A) 36

(B) 54

(C) 58

(D) 56

(E) 48

RESOLUCcedilAtildeO

00000000000

00000000000 - DEMO
















2 x (90 + D) = 3 x (180 ndash D)

180 + 2D = 540 ndash 3D

D = 72 metros



3 metros -------------- 1 segundo


3t = 162

t = 54 segundos

RESPOSTA B



00000000000

00000000000 - DEMO






(A) 64

(B) 48

(C) 36

(D) 24

(E) 16

RESOLUCcedilAtildeO





4 x 4 x 4 = 43 = 64 dados

RESPOSTA A








00000000000

00000000000 - DEMO








RESOLUCcedilAtildeO






5

16F para a


sabemos que



3 1 5

16 10 16F F F F R

3 1 5

16 10 16F F F F R

160 30 16 50

160 160 160 160

FF F F R

64

160

FR

040F R

40F R



A esposa recebeu 5

03125 312516



00000000000

00000000000 - DEMO











Resposta C E E





igual a n









RESOLUCcedilAtildeO








00000000000

00000000000 - DEMO




220 = 22 x 5 x 11

284 = 22 x 71






amigos Item CORRETO











Resposta C C E C





retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2

RESOLUCcedilAtildeO



temos



40 = 2 x L + 2 x M

00000000000

00000000000 - DEMO




40 = 2 x (L + M)

40 2 = L + M

L + M = 20

M = 20 ndash L






Por outro lado


24 = 2 x (L + N)

24 2 = L + N

12 = L + N

00000000000

00000000000 - DEMO




N = 12 ndash L








(12 ndash L) = (13) x (20 ndash L)




163 = 2L3

16 = 2L

L = 162 = 8cm

Portanto





RESPOSTA D






A) 2

B) 4

00000000000

00000000000 - DEMO




C) 5

D) 8

E) 10

RESOLUCcedilAtildeO





simultaneamente




Probabilidade(A)



1Probabilidade(A)

5





Probabilidade(B)



1Probabilidade(B)

4








00000000000

00000000000 - DEMO





5 4


20



RESPOSTA C






A) 98

B) 112

C) 26

D) 66

E) 82

RESOLUCcedilAtildeO


Sabemos que


seguinte

5 114

8 5C C C

5 114

8 5C C C

40 25 814

40C


00000000000

00000000000 - DEMO






RESPOSTA D





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800

RESOLUCcedilAtildeO




Controle = 2P + 16




(2P+ 16) + 2P = 30

4P = 14

14 735

4 2P


RESPOSTA A

00000000000

00000000000 - DEMO







A) 6

B) 9

C) 12

D) 16

E) 25

RESOLUCcedilAtildeO




L = V ndash C






L = V ndash C

12 = V ndash 40

V = 52 reais






reais) Assim

L = V ndash C

-3 = V ndash 60

V = 57 reais



00000000000

00000000000 - DEMO








de 9

RESPOSTA B







de

A) 15 dias

B) 16 dias

C) 18 dias

D) 20 dias

E) 24 dias

RESOLUCcedilAtildeO





trabalho

15 7200 8

15 ndash 3 18000-7200 X

00000000000

00000000000 - DEMO








trabalho

15 7200 8

12 10800 X



trabalho

12 7200 8

15 10800 X


8 12 7200

15 10800

15

X

X dias

RESPOSTA A






00000000000

00000000000 - DEMO






A) 36

B) 72

C) 144

D) 216

E) 432

RESOLUCcedilAtildeO








3 a 3 C(43) = 4





classificado






00000000000

00000000000 - DEMO





fazendo 7 pontos

RESPOSTA E



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

RESOLUCcedilAtildeO




30 18 3

n 80 4







30 18 4

n 80 3


00000000000

00000000000 - DEMO




30 18 4

80 3n


30 18 4

80 3

30 80 3 18 4

30 80 3100

18 4

n

n

n


dias

RESPOSTA B





2 141

Entatildeo






RESOLUCcedilAtildeO

00000000000

00000000000 - DEMO







2520 metros



abaixo



90 90D

2 22 90D

22 90D

90 2D


90 141 1269D




RESPOSTA B



00000000000

00000000000 - DEMO









a) 10

b) 11

c) 15

d) 16

e) 24

RESOLUCcedilAtildeO














RESPOSTA B




mm do ponto A

00000000000

00000000000 - DEMO





(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

RESOLUCcedilAtildeO




AD = AB + BC + CD = 658


BD = BC + CD = 419


AC = AB + BC = 487


que

AB + BC + CD = 658

BC + CD = 419

Logo

AB + 419 = 658

AB = 239mm


AB + BC + CD = 658

AB + BC = 487

00000000000

00000000000 - DEMO




Logo

487 + CD = 658

CD = 171mm

Assim

AB + BC + CD = 658

239 + BC + 171 = 658

BC = 248mm

RESPOSTA E


Abraccedilo

Prof Arthur Lima

Periscope ARTHURRRL


00000000000 - DEMO



















a) 78

b) 76

c) 74

d) 72






00000000000

00000000000 - DEMO





em reais












a

a) 14

b) 18

c) 22

d) 28





a) 120

b) 240

c) 360

d) 480




00000000000

00000000000 - DEMO






(A) 90

(B) 84

(C) 82

(D) 80

(E) 78







a) 6

b) 7

c) 10

d) 14







(A) 3572200

(B) 820000

(C) 357720

(D) 35772

(E) 33220

00000000000

00000000000 - DEMO






a) 80

b) 100

c) 75

d) 25

e) 108








(A) 15

(B) 16

(C) 17

(D) 18

(E) 19





gramas a

(A) 338

(B) 208

(C) 200

(D) 182

(E) 220

00000000000

00000000000 - DEMO









(A) 15h 4 min

(B) 15h 15 min

(C) 15 h 24 min

(D) 15h 29 min

(E) 15 h 31 min





eacute igual a

(A) 125ordm

(B) 115ordm

(C) 110ordm

(D) 135ordm

(E) 130ordm






00000000000

00000000000 - DEMO




(A) 2

7

(B) 5

21

(C) 10

21

(D) 2

49

(E) 10

49









(A) 040

(B) 036

(C) 032

(D) 030

(E) 028









00000000000

00000000000 - DEMO




(A) 1

2

(B) 2

3

(C) 12

35

(D) 8

15

(E) 10

21











(A) R$ 7200000

(B) R$ 8250000

(C) R$ 9400000

(D) R$ 11250000

(E) R$ 12000000







00000000000

00000000000 - DEMO




(A) 3

(B) 6

(C) 4

(D) 5

(E) 7








(A) 23

(B) 78

(C) 14

(D) 38

(E) 98











(D) igual a 8

(E) maior que 13

00000000000

00000000000 - DEMO








(A) 126

(B) 135

(C) 144

(D) 162

(E) 153







(A) 5

(B) 6

(C) 4

(D) 7

(E) 3



00000000000

00000000000 - DEMO










(A) 128

(B) 130

(C) 137

(D) 140

(E) 145










(A) 33

(B) 19

(C) 24

00000000000

00000000000 - DEMO




(D) 15

(E) 23










(A) 58

(B) 65

(C) 76

(D) 53

(E) 95









(A) 36

(B) 54

(C) 58

(D) 56

(E) 48

00000000000

00000000000 - DEMO








(A) 64

(B) 48

(C) 36

(D) 24

(E) 16









00000000000

00000000000 - DEMO











igual a n













retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2






A) 2

B) 4

C) 5

D) 8

E) 10






A) 98

B) 112

C) 26

00000000000

00000000000 - DEMO




D) 66

E) 82





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800




A) 6

B) 9

C) 12

D) 16

E) 25







de

A) 15 dias

B) 16 dias

00000000000

00000000000 - DEMO




C) 18 dias

D) 20 dias

E) 24 dias








A) 36

B) 72

C) 144

D) 216

E) 432



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

00000000000

00000000000 - DEMO








2 141

Entatildeo













a) 10

b) 11

c) 15

d) 16

e) 24

00000000000

00000000000 - DEMO







mm do ponto A


(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

00000000000

00000000000 - DEMO




01 D 02 A 03 B 04 D 05 C 06 A 07 C

08 B 09 C 10 D 11 E 12 E 13 D 14 C

15 A 16 D 17 B 18 D 19 B 20 A 21 C

22 B 23 E 24 E 25 B 26 B 27 A 28 CEE

29 CCEC 30 D 31 C 32 D 33 A 34 B 35 A

36 E 37 B 38 B 39 B 40 E

00000000000

00000000000 - DEMO





Igualando os totais

14n + 16 = 20n ndash 8

16 + 8 = 20n ndash 14n

24 = 6n

n = 4 prateleiras



prateleira

RESPOSTA D





gramas a

(A) 338

(B) 208

(C) 200

(D) 182

(E) 220

RESOLUCcedilAtildeO







capacidade total

35 -------------- 182g

00000000000

00000000000 - DEMO




40 --------------- P

35xP = 40x182

P = 40x182 35

P = 040x182 035

P = 208g





RESPOSTA E






(A) 15h 4 min

(B) 15h 15 min

(C) 15 h 24 min

(D) 15h 29 min

(E) 15 h 31 min

RESOLUCcedilAtildeO






RESPOSTA E

00000000000

00000000000 - DEMO








eacute igual a

(A) 125ordm

(B) 115ordm

(C) 110ordm

(D) 135ordm

(E) 130ordm

RESOLUCcedilAtildeO





180 = 90 + +

180 ndash 90 = +

90 = 2

902 =

45ordm =

Temos o seguinte

00000000000

00000000000 - DEMO






x + 45 = 90

x = 90 ndash 45

x = 45ordm




180 = 45 + 45 +

180 = 90 +

180 ndash 90 =

90ordm =


+ = 90 + 45 = 135ordm

RESPOSTA D




00000000000

00000000000 - DEMO






(A) 2

7

(B) 5

21

(C) 10

21

(D) 2

49

(E) 10

49

RESOLUCcedilAtildeO





de 27 x 56 = 17 x 53 = 521







enunciado





00000000000

00000000000 - DEMO







RESPOSTA C









(A) 040

(B) 036

(C) 032

(D) 030

(E) 028

RESPOSTA






eacute 160x025 = 040m3

RESPOSTA A






00000000000

00000000000 - DEMO







(A) 1

2

(B) 2

3

(C) 12

35

(D) 8

15

(E) 10

21

RESOLUCcedilAtildeO



P3 = Q5 = R7

Assim

P3 = R7

P = 3R7

Q5 = R7

Q = 5R7


Total = P + Q + R = 3R7 + 5R7 + R = 8R7 + 7R7 = 15R7


P + Q = 3R7 + 5R7 = 8R7



00000000000

00000000000 - DEMO









RESPOSTA D











(A) R$ 7200000

(B) R$ 8250000

(C) R$ 9400000

(D) R$ 11250000

(E) R$ 12000000

RESOLUCcedilAtildeO





300000 ------------- 22 + 28 + 30

Valor ------------ 22

00000000000

00000000000 - DEMO




300000 x 22 = Valor x 80

Valor = 82500 reais

RESPOSTA B







(A) 3

(B) 6

(C) 4

(D) 5

(E) 7

RESOLUCcedilAtildeO













menores

RESPOSTA D

00000000000

00000000000 - DEMO











(A) 23

(B) 78

(C) 14

(D) 38

(E) 98

RESOLUCcedilAtildeO



200 unidades ------------ 3E4

300 unidades ------------ N

200N = 300x3E4

2N = 3x3E4

2N = 9E4

N = 9E8





eacute




RESPOSTA B

00000000000

00000000000 - DEMO














(D) igual a 8

(E) maior que 13

RESOLUCcedilAtildeO



- 9 18 19 27 28 29 36 37 38 39




8cm3

RESPOSTA A




00000000000

00000000000 - DEMO





(A) 126

(B) 135

(C) 144

(D) 162

(E) 153

RESOLUCcedilAtildeO


medida igual a 10




102 = 62 + X2

100 = 36 + X2

64 = X2

8 = X


10

10

X

00000000000

00000000000 - DEMO







RESPOSTA C







(A) 5

(B) 6

(C) 4

(D) 7

(E) 3

RESOLUCcedilAtildeO






novamente 15




somem 15)


RESPOSTA B

00000000000

00000000000 - DEMO












(A) 128

(B) 130

(C) 137

(D) 140

(E) 145

RESOLUCcedilAtildeO





12 -------------- 87

100 ------------ V

12V = 10087

V = 100x8712

V = 725 votos

00000000000

00000000000 - DEMO







= 20


basta fazer


RESPOSTA E










(A) 33

(B) 19

(C) 24

(D) 15

(E) 23

RESOLUCcedilAtildeO



00000000000

00000000000 - DEMO










diagrama)


diagrama)

Ateacute aqui temos

00000000000

00000000000 - DEMO




Continuando






13)


D + F + G = 24

15 + G = 24

G = 9

D + G = 13

D + 9 = 13

D = 4

D + F = 15

4 + F = 15

F = 11

Ateacute aqui temos

00000000000

00000000000 - DEMO








RESPOSTA E










(A) 58

(B) 65

(C) 76

(D) 53

(E) 95

RESOLUCcedilAtildeO








00000000000

00000000000 - DEMO











diagrama temos

00000000000

00000000000 - DEMO






65

RESPOSTA B









(A) 36

(B) 54

(C) 58

(D) 56

(E) 48

RESOLUCcedilAtildeO

00000000000

00000000000 - DEMO
















2 x (90 + D) = 3 x (180 ndash D)

180 + 2D = 540 ndash 3D

D = 72 metros



3 metros -------------- 1 segundo


3t = 162

t = 54 segundos

RESPOSTA B



00000000000

00000000000 - DEMO






(A) 64

(B) 48

(C) 36

(D) 24

(E) 16

RESOLUCcedilAtildeO





4 x 4 x 4 = 43 = 64 dados

RESPOSTA A








00000000000

00000000000 - DEMO








RESOLUCcedilAtildeO






5

16F para a


sabemos que



3 1 5

16 10 16F F F F R

3 1 5

16 10 16F F F F R

160 30 16 50

160 160 160 160

FF F F R

64

160

FR

040F R

40F R



A esposa recebeu 5

03125 312516



00000000000

00000000000 - DEMO











Resposta C E E





igual a n









RESOLUCcedilAtildeO








00000000000

00000000000 - DEMO




220 = 22 x 5 x 11

284 = 22 x 71






amigos Item CORRETO











Resposta C C E C





retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2

RESOLUCcedilAtildeO



temos



40 = 2 x L + 2 x M

00000000000

00000000000 - DEMO




40 = 2 x (L + M)

40 2 = L + M

L + M = 20

M = 20 ndash L






Por outro lado


24 = 2 x (L + N)

24 2 = L + N

12 = L + N

00000000000

00000000000 - DEMO




N = 12 ndash L








(12 ndash L) = (13) x (20 ndash L)




163 = 2L3

16 = 2L

L = 162 = 8cm

Portanto





RESPOSTA D






A) 2

B) 4

00000000000

00000000000 - DEMO




C) 5

D) 8

E) 10

RESOLUCcedilAtildeO





simultaneamente




Probabilidade(A)



1Probabilidade(A)

5





Probabilidade(B)



1Probabilidade(B)

4








00000000000

00000000000 - DEMO





5 4


20



RESPOSTA C






A) 98

B) 112

C) 26

D) 66

E) 82

RESOLUCcedilAtildeO


Sabemos que


seguinte

5 114

8 5C C C

5 114

8 5C C C

40 25 814

40C


00000000000

00000000000 - DEMO






RESPOSTA D





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800

RESOLUCcedilAtildeO




Controle = 2P + 16




(2P+ 16) + 2P = 30

4P = 14

14 735

4 2P


RESPOSTA A

00000000000

00000000000 - DEMO







A) 6

B) 9

C) 12

D) 16

E) 25

RESOLUCcedilAtildeO




L = V ndash C






L = V ndash C

12 = V ndash 40

V = 52 reais






reais) Assim

L = V ndash C

-3 = V ndash 60

V = 57 reais



00000000000

00000000000 - DEMO








de 9

RESPOSTA B







de

A) 15 dias

B) 16 dias

C) 18 dias

D) 20 dias

E) 24 dias

RESOLUCcedilAtildeO





trabalho

15 7200 8

15 ndash 3 18000-7200 X

00000000000

00000000000 - DEMO








trabalho

15 7200 8

12 10800 X



trabalho

12 7200 8

15 10800 X


8 12 7200

15 10800

15

X

X dias

RESPOSTA A






00000000000

00000000000 - DEMO






A) 36

B) 72

C) 144

D) 216

E) 432

RESOLUCcedilAtildeO








3 a 3 C(43) = 4





classificado






00000000000

00000000000 - DEMO





fazendo 7 pontos

RESPOSTA E



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

RESOLUCcedilAtildeO




30 18 3

n 80 4







30 18 4

n 80 3


00000000000

00000000000 - DEMO




30 18 4

80 3n


30 18 4

80 3

30 80 3 18 4

30 80 3100

18 4

n

n

n


dias

RESPOSTA B





2 141

Entatildeo






RESOLUCcedilAtildeO

00000000000

00000000000 - DEMO







2520 metros



abaixo



90 90D

2 22 90D

22 90D

90 2D


90 141 1269D




RESPOSTA B



00000000000

00000000000 - DEMO









a) 10

b) 11

c) 15

d) 16

e) 24

RESOLUCcedilAtildeO














RESPOSTA B




mm do ponto A

00000000000

00000000000 - DEMO





(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

RESOLUCcedilAtildeO




AD = AB + BC + CD = 658


BD = BC + CD = 419


AC = AB + BC = 487


que

AB + BC + CD = 658

BC + CD = 419

Logo

AB + 419 = 658

AB = 239mm


AB + BC + CD = 658

AB + BC = 487

00000000000

00000000000 - DEMO




Logo

487 + CD = 658

CD = 171mm

Assim

AB + BC + CD = 658

239 + BC + 171 = 658

BC = 248mm

RESPOSTA E


Abraccedilo

Prof Arthur Lima

Periscope ARTHURRRL


00000000000 - DEMO



















a) 78

b) 76

c) 74

d) 72






00000000000

00000000000 - DEMO





em reais












a

a) 14

b) 18

c) 22

d) 28





a) 120

b) 240

c) 360

d) 480




00000000000

00000000000 - DEMO






(A) 90

(B) 84

(C) 82

(D) 80

(E) 78







a) 6

b) 7

c) 10

d) 14







(A) 3572200

(B) 820000

(C) 357720

(D) 35772

(E) 33220

00000000000

00000000000 - DEMO






a) 80

b) 100

c) 75

d) 25

e) 108








(A) 15

(B) 16

(C) 17

(D) 18

(E) 19





gramas a

(A) 338

(B) 208

(C) 200

(D) 182

(E) 220

00000000000

00000000000 - DEMO









(A) 15h 4 min

(B) 15h 15 min

(C) 15 h 24 min

(D) 15h 29 min

(E) 15 h 31 min





eacute igual a

(A) 125ordm

(B) 115ordm

(C) 110ordm

(D) 135ordm

(E) 130ordm






00000000000

00000000000 - DEMO




(A) 2

7

(B) 5

21

(C) 10

21

(D) 2

49

(E) 10

49









(A) 040

(B) 036

(C) 032

(D) 030

(E) 028









00000000000

00000000000 - DEMO




(A) 1

2

(B) 2

3

(C) 12

35

(D) 8

15

(E) 10

21











(A) R$ 7200000

(B) R$ 8250000

(C) R$ 9400000

(D) R$ 11250000

(E) R$ 12000000







00000000000

00000000000 - DEMO




(A) 3

(B) 6

(C) 4

(D) 5

(E) 7








(A) 23

(B) 78

(C) 14

(D) 38

(E) 98











(D) igual a 8

(E) maior que 13

00000000000

00000000000 - DEMO








(A) 126

(B) 135

(C) 144

(D) 162

(E) 153







(A) 5

(B) 6

(C) 4

(D) 7

(E) 3



00000000000

00000000000 - DEMO










(A) 128

(B) 130

(C) 137

(D) 140

(E) 145










(A) 33

(B) 19

(C) 24

00000000000

00000000000 - DEMO




(D) 15

(E) 23










(A) 58

(B) 65

(C) 76

(D) 53

(E) 95









(A) 36

(B) 54

(C) 58

(D) 56

(E) 48

00000000000

00000000000 - DEMO








(A) 64

(B) 48

(C) 36

(D) 24

(E) 16









00000000000

00000000000 - DEMO











igual a n













retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2






A) 2

B) 4

C) 5

D) 8

E) 10






A) 98

B) 112

C) 26

00000000000

00000000000 - DEMO




D) 66

E) 82





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800




A) 6

B) 9

C) 12

D) 16

E) 25







de

A) 15 dias

B) 16 dias

00000000000

00000000000 - DEMO




C) 18 dias

D) 20 dias

E) 24 dias








A) 36

B) 72

C) 144

D) 216

E) 432



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

00000000000

00000000000 - DEMO








2 141

Entatildeo













a) 10

b) 11

c) 15

d) 16

e) 24

00000000000

00000000000 - DEMO







mm do ponto A


(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

00000000000

00000000000 - DEMO




01 D 02 A 03 B 04 D 05 C 06 A 07 C

08 B 09 C 10 D 11 E 12 E 13 D 14 C

15 A 16 D 17 B 18 D 19 B 20 A 21 C

22 B 23 E 24 E 25 B 26 B 27 A 28 CEE

29 CCEC 30 D 31 C 32 D 33 A 34 B 35 A

36 E 37 B 38 B 39 B 40 E

00000000000

00000000000 - DEMO




40 --------------- P

35xP = 40x182

P = 40x182 35

P = 040x182 035

P = 208g





RESPOSTA E






(A) 15h 4 min

(B) 15h 15 min

(C) 15 h 24 min

(D) 15h 29 min

(E) 15 h 31 min

RESOLUCcedilAtildeO






RESPOSTA E

00000000000

00000000000 - DEMO








eacute igual a

(A) 125ordm

(B) 115ordm

(C) 110ordm

(D) 135ordm

(E) 130ordm

RESOLUCcedilAtildeO





180 = 90 + +

180 ndash 90 = +

90 = 2

902 =

45ordm =

Temos o seguinte

00000000000

00000000000 - DEMO






x + 45 = 90

x = 90 ndash 45

x = 45ordm




180 = 45 + 45 +

180 = 90 +

180 ndash 90 =

90ordm =


+ = 90 + 45 = 135ordm

RESPOSTA D




00000000000

00000000000 - DEMO






(A) 2

7

(B) 5

21

(C) 10

21

(D) 2

49

(E) 10

49

RESOLUCcedilAtildeO





de 27 x 56 = 17 x 53 = 521







enunciado





00000000000

00000000000 - DEMO







RESPOSTA C









(A) 040

(B) 036

(C) 032

(D) 030

(E) 028

RESPOSTA






eacute 160x025 = 040m3

RESPOSTA A






00000000000

00000000000 - DEMO







(A) 1

2

(B) 2

3

(C) 12

35

(D) 8

15

(E) 10

21

RESOLUCcedilAtildeO



P3 = Q5 = R7

Assim

P3 = R7

P = 3R7

Q5 = R7

Q = 5R7


Total = P + Q + R = 3R7 + 5R7 + R = 8R7 + 7R7 = 15R7


P + Q = 3R7 + 5R7 = 8R7



00000000000

00000000000 - DEMO









RESPOSTA D











(A) R$ 7200000

(B) R$ 8250000

(C) R$ 9400000

(D) R$ 11250000

(E) R$ 12000000

RESOLUCcedilAtildeO





300000 ------------- 22 + 28 + 30

Valor ------------ 22

00000000000

00000000000 - DEMO




300000 x 22 = Valor x 80

Valor = 82500 reais

RESPOSTA B







(A) 3

(B) 6

(C) 4

(D) 5

(E) 7

RESOLUCcedilAtildeO













menores

RESPOSTA D

00000000000

00000000000 - DEMO











(A) 23

(B) 78

(C) 14

(D) 38

(E) 98

RESOLUCcedilAtildeO



200 unidades ------------ 3E4

300 unidades ------------ N

200N = 300x3E4

2N = 3x3E4

2N = 9E4

N = 9E8





eacute




RESPOSTA B

00000000000

00000000000 - DEMO














(D) igual a 8

(E) maior que 13

RESOLUCcedilAtildeO



- 9 18 19 27 28 29 36 37 38 39




8cm3

RESPOSTA A




00000000000

00000000000 - DEMO





(A) 126

(B) 135

(C) 144

(D) 162

(E) 153

RESOLUCcedilAtildeO


medida igual a 10




102 = 62 + X2

100 = 36 + X2

64 = X2

8 = X


10

10

X

00000000000

00000000000 - DEMO







RESPOSTA C







(A) 5

(B) 6

(C) 4

(D) 7

(E) 3

RESOLUCcedilAtildeO






novamente 15




somem 15)


RESPOSTA B

00000000000

00000000000 - DEMO












(A) 128

(B) 130

(C) 137

(D) 140

(E) 145

RESOLUCcedilAtildeO





12 -------------- 87

100 ------------ V

12V = 10087

V = 100x8712

V = 725 votos

00000000000

00000000000 - DEMO







= 20


basta fazer


RESPOSTA E










(A) 33

(B) 19

(C) 24

(D) 15

(E) 23

RESOLUCcedilAtildeO



00000000000

00000000000 - DEMO










diagrama)


diagrama)

Ateacute aqui temos

00000000000

00000000000 - DEMO




Continuando






13)


D + F + G = 24

15 + G = 24

G = 9

D + G = 13

D + 9 = 13

D = 4

D + F = 15

4 + F = 15

F = 11

Ateacute aqui temos

00000000000

00000000000 - DEMO








RESPOSTA E










(A) 58

(B) 65

(C) 76

(D) 53

(E) 95

RESOLUCcedilAtildeO








00000000000

00000000000 - DEMO











diagrama temos

00000000000

00000000000 - DEMO






65

RESPOSTA B









(A) 36

(B) 54

(C) 58

(D) 56

(E) 48

RESOLUCcedilAtildeO

00000000000

00000000000 - DEMO
















2 x (90 + D) = 3 x (180 ndash D)

180 + 2D = 540 ndash 3D

D = 72 metros



3 metros -------------- 1 segundo


3t = 162

t = 54 segundos

RESPOSTA B



00000000000

00000000000 - DEMO






(A) 64

(B) 48

(C) 36

(D) 24

(E) 16

RESOLUCcedilAtildeO





4 x 4 x 4 = 43 = 64 dados

RESPOSTA A








00000000000

00000000000 - DEMO








RESOLUCcedilAtildeO






5

16F para a


sabemos que



3 1 5

16 10 16F F F F R

3 1 5

16 10 16F F F F R

160 30 16 50

160 160 160 160

FF F F R

64

160

FR

040F R

40F R



A esposa recebeu 5

03125 312516



00000000000

00000000000 - DEMO











Resposta C E E





igual a n









RESOLUCcedilAtildeO








00000000000

00000000000 - DEMO




220 = 22 x 5 x 11

284 = 22 x 71






amigos Item CORRETO











Resposta C C E C





retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2

RESOLUCcedilAtildeO



temos



40 = 2 x L + 2 x M

00000000000

00000000000 - DEMO




40 = 2 x (L + M)

40 2 = L + M

L + M = 20

M = 20 ndash L






Por outro lado


24 = 2 x (L + N)

24 2 = L + N

12 = L + N

00000000000

00000000000 - DEMO




N = 12 ndash L








(12 ndash L) = (13) x (20 ndash L)




163 = 2L3

16 = 2L

L = 162 = 8cm

Portanto





RESPOSTA D






A) 2

B) 4

00000000000

00000000000 - DEMO




C) 5

D) 8

E) 10

RESOLUCcedilAtildeO





simultaneamente




Probabilidade(A)



1Probabilidade(A)

5





Probabilidade(B)



1Probabilidade(B)

4








00000000000

00000000000 - DEMO





5 4


20



RESPOSTA C






A) 98

B) 112

C) 26

D) 66

E) 82

RESOLUCcedilAtildeO


Sabemos que


seguinte

5 114

8 5C C C

5 114

8 5C C C

40 25 814

40C


00000000000

00000000000 - DEMO






RESPOSTA D





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800

RESOLUCcedilAtildeO




Controle = 2P + 16




(2P+ 16) + 2P = 30

4P = 14

14 735

4 2P


RESPOSTA A

00000000000

00000000000 - DEMO







A) 6

B) 9

C) 12

D) 16

E) 25

RESOLUCcedilAtildeO




L = V ndash C






L = V ndash C

12 = V ndash 40

V = 52 reais






reais) Assim

L = V ndash C

-3 = V ndash 60

V = 57 reais



00000000000

00000000000 - DEMO








de 9

RESPOSTA B







de

A) 15 dias

B) 16 dias

C) 18 dias

D) 20 dias

E) 24 dias

RESOLUCcedilAtildeO





trabalho

15 7200 8

15 ndash 3 18000-7200 X

00000000000

00000000000 - DEMO








trabalho

15 7200 8

12 10800 X



trabalho

12 7200 8

15 10800 X


8 12 7200

15 10800

15

X

X dias

RESPOSTA A






00000000000

00000000000 - DEMO






A) 36

B) 72

C) 144

D) 216

E) 432

RESOLUCcedilAtildeO








3 a 3 C(43) = 4





classificado






00000000000

00000000000 - DEMO





fazendo 7 pontos

RESPOSTA E



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

RESOLUCcedilAtildeO




30 18 3

n 80 4







30 18 4

n 80 3


00000000000

00000000000 - DEMO




30 18 4

80 3n


30 18 4

80 3

30 80 3 18 4

30 80 3100

18 4

n

n

n


dias

RESPOSTA B





2 141

Entatildeo






RESOLUCcedilAtildeO

00000000000

00000000000 - DEMO







2520 metros



abaixo



90 90D

2 22 90D

22 90D

90 2D


90 141 1269D




RESPOSTA B



00000000000

00000000000 - DEMO









a) 10

b) 11

c) 15

d) 16

e) 24

RESOLUCcedilAtildeO














RESPOSTA B




mm do ponto A

00000000000

00000000000 - DEMO





(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

RESOLUCcedilAtildeO




AD = AB + BC + CD = 658


BD = BC + CD = 419


AC = AB + BC = 487


que

AB + BC + CD = 658

BC + CD = 419

Logo

AB + 419 = 658

AB = 239mm


AB + BC + CD = 658

AB + BC = 487

00000000000

00000000000 - DEMO




Logo

487 + CD = 658

CD = 171mm

Assim

AB + BC + CD = 658

239 + BC + 171 = 658

BC = 248mm

RESPOSTA E


Abraccedilo

Prof Arthur Lima

Periscope ARTHURRRL


00000000000 - DEMO



















a) 78

b) 76

c) 74

d) 72






00000000000

00000000000 - DEMO





em reais












a

a) 14

b) 18

c) 22

d) 28





a) 120

b) 240

c) 360

d) 480




00000000000

00000000000 - DEMO






(A) 90

(B) 84

(C) 82

(D) 80

(E) 78







a) 6

b) 7

c) 10

d) 14







(A) 3572200

(B) 820000

(C) 357720

(D) 35772

(E) 33220

00000000000

00000000000 - DEMO






a) 80

b) 100

c) 75

d) 25

e) 108








(A) 15

(B) 16

(C) 17

(D) 18

(E) 19





gramas a

(A) 338

(B) 208

(C) 200

(D) 182

(E) 220

00000000000

00000000000 - DEMO









(A) 15h 4 min

(B) 15h 15 min

(C) 15 h 24 min

(D) 15h 29 min

(E) 15 h 31 min





eacute igual a

(A) 125ordm

(B) 115ordm

(C) 110ordm

(D) 135ordm

(E) 130ordm






00000000000

00000000000 - DEMO




(A) 2

7

(B) 5

21

(C) 10

21

(D) 2

49

(E) 10

49









(A) 040

(B) 036

(C) 032

(D) 030

(E) 028









00000000000

00000000000 - DEMO




(A) 1

2

(B) 2

3

(C) 12

35

(D) 8

15

(E) 10

21











(A) R$ 7200000

(B) R$ 8250000

(C) R$ 9400000

(D) R$ 11250000

(E) R$ 12000000







00000000000

00000000000 - DEMO




(A) 3

(B) 6

(C) 4

(D) 5

(E) 7








(A) 23

(B) 78

(C) 14

(D) 38

(E) 98











(D) igual a 8

(E) maior que 13

00000000000

00000000000 - DEMO








(A) 126

(B) 135

(C) 144

(D) 162

(E) 153







(A) 5

(B) 6

(C) 4

(D) 7

(E) 3



00000000000

00000000000 - DEMO










(A) 128

(B) 130

(C) 137

(D) 140

(E) 145










(A) 33

(B) 19

(C) 24

00000000000

00000000000 - DEMO




(D) 15

(E) 23










(A) 58

(B) 65

(C) 76

(D) 53

(E) 95









(A) 36

(B) 54

(C) 58

(D) 56

(E) 48

00000000000

00000000000 - DEMO








(A) 64

(B) 48

(C) 36

(D) 24

(E) 16









00000000000

00000000000 - DEMO











igual a n













retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2






A) 2

B) 4

C) 5

D) 8

E) 10






A) 98

B) 112

C) 26

00000000000

00000000000 - DEMO




D) 66

E) 82





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800




A) 6

B) 9

C) 12

D) 16

E) 25







de

A) 15 dias

B) 16 dias

00000000000

00000000000 - DEMO




C) 18 dias

D) 20 dias

E) 24 dias








A) 36

B) 72

C) 144

D) 216

E) 432



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

00000000000

00000000000 - DEMO








2 141

Entatildeo













a) 10

b) 11

c) 15

d) 16

e) 24

00000000000

00000000000 - DEMO







mm do ponto A


(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

00000000000

00000000000 - DEMO




01 D 02 A 03 B 04 D 05 C 06 A 07 C

08 B 09 C 10 D 11 E 12 E 13 D 14 C

15 A 16 D 17 B 18 D 19 B 20 A 21 C

22 B 23 E 24 E 25 B 26 B 27 A 28 CEE

29 CCEC 30 D 31 C 32 D 33 A 34 B 35 A

36 E 37 B 38 B 39 B 40 E

00000000000

00000000000 - DEMO








eacute igual a

(A) 125ordm

(B) 115ordm

(C) 110ordm

(D) 135ordm

(E) 130ordm

RESOLUCcedilAtildeO





180 = 90 + +

180 ndash 90 = +

90 = 2

902 =

45ordm =

Temos o seguinte

00000000000

00000000000 - DEMO






x + 45 = 90

x = 90 ndash 45

x = 45ordm




180 = 45 + 45 +

180 = 90 +

180 ndash 90 =

90ordm =


+ = 90 + 45 = 135ordm

RESPOSTA D




00000000000

00000000000 - DEMO






(A) 2

7

(B) 5

21

(C) 10

21

(D) 2

49

(E) 10

49

RESOLUCcedilAtildeO





de 27 x 56 = 17 x 53 = 521







enunciado





00000000000

00000000000 - DEMO







RESPOSTA C









(A) 040

(B) 036

(C) 032

(D) 030

(E) 028

RESPOSTA






eacute 160x025 = 040m3

RESPOSTA A






00000000000

00000000000 - DEMO







(A) 1

2

(B) 2

3

(C) 12

35

(D) 8

15

(E) 10

21

RESOLUCcedilAtildeO



P3 = Q5 = R7

Assim

P3 = R7

P = 3R7

Q5 = R7

Q = 5R7


Total = P + Q + R = 3R7 + 5R7 + R = 8R7 + 7R7 = 15R7


P + Q = 3R7 + 5R7 = 8R7



00000000000

00000000000 - DEMO









RESPOSTA D











(A) R$ 7200000

(B) R$ 8250000

(C) R$ 9400000

(D) R$ 11250000

(E) R$ 12000000

RESOLUCcedilAtildeO





300000 ------------- 22 + 28 + 30

Valor ------------ 22

00000000000

00000000000 - DEMO




300000 x 22 = Valor x 80

Valor = 82500 reais

RESPOSTA B







(A) 3

(B) 6

(C) 4

(D) 5

(E) 7

RESOLUCcedilAtildeO













menores

RESPOSTA D

00000000000

00000000000 - DEMO











(A) 23

(B) 78

(C) 14

(D) 38

(E) 98

RESOLUCcedilAtildeO



200 unidades ------------ 3E4

300 unidades ------------ N

200N = 300x3E4

2N = 3x3E4

2N = 9E4

N = 9E8





eacute




RESPOSTA B

00000000000

00000000000 - DEMO














(D) igual a 8

(E) maior que 13

RESOLUCcedilAtildeO



- 9 18 19 27 28 29 36 37 38 39




8cm3

RESPOSTA A




00000000000

00000000000 - DEMO





(A) 126

(B) 135

(C) 144

(D) 162

(E) 153

RESOLUCcedilAtildeO


medida igual a 10




102 = 62 + X2

100 = 36 + X2

64 = X2

8 = X


10

10

X

00000000000

00000000000 - DEMO







RESPOSTA C







(A) 5

(B) 6

(C) 4

(D) 7

(E) 3

RESOLUCcedilAtildeO






novamente 15




somem 15)


RESPOSTA B

00000000000

00000000000 - DEMO












(A) 128

(B) 130

(C) 137

(D) 140

(E) 145

RESOLUCcedilAtildeO





12 -------------- 87

100 ------------ V

12V = 10087

V = 100x8712

V = 725 votos

00000000000

00000000000 - DEMO







= 20


basta fazer


RESPOSTA E










(A) 33

(B) 19

(C) 24

(D) 15

(E) 23

RESOLUCcedilAtildeO



00000000000

00000000000 - DEMO










diagrama)


diagrama)

Ateacute aqui temos

00000000000

00000000000 - DEMO




Continuando






13)


D + F + G = 24

15 + G = 24

G = 9

D + G = 13

D + 9 = 13

D = 4

D + F = 15

4 + F = 15

F = 11

Ateacute aqui temos

00000000000

00000000000 - DEMO








RESPOSTA E










(A) 58

(B) 65

(C) 76

(D) 53

(E) 95

RESOLUCcedilAtildeO








00000000000

00000000000 - DEMO











diagrama temos

00000000000

00000000000 - DEMO






65

RESPOSTA B









(A) 36

(B) 54

(C) 58

(D) 56

(E) 48

RESOLUCcedilAtildeO

00000000000

00000000000 - DEMO
















2 x (90 + D) = 3 x (180 ndash D)

180 + 2D = 540 ndash 3D

D = 72 metros



3 metros -------------- 1 segundo


3t = 162

t = 54 segundos

RESPOSTA B



00000000000

00000000000 - DEMO






(A) 64

(B) 48

(C) 36

(D) 24

(E) 16

RESOLUCcedilAtildeO





4 x 4 x 4 = 43 = 64 dados

RESPOSTA A








00000000000

00000000000 - DEMO








RESOLUCcedilAtildeO






5

16F para a


sabemos que



3 1 5

16 10 16F F F F R

3 1 5

16 10 16F F F F R

160 30 16 50

160 160 160 160

FF F F R

64

160

FR

040F R

40F R



A esposa recebeu 5

03125 312516



00000000000

00000000000 - DEMO











Resposta C E E





igual a n









RESOLUCcedilAtildeO








00000000000

00000000000 - DEMO




220 = 22 x 5 x 11

284 = 22 x 71






amigos Item CORRETO











Resposta C C E C





retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2

RESOLUCcedilAtildeO



temos



40 = 2 x L + 2 x M

00000000000

00000000000 - DEMO




40 = 2 x (L + M)

40 2 = L + M

L + M = 20

M = 20 ndash L






Por outro lado


24 = 2 x (L + N)

24 2 = L + N

12 = L + N

00000000000

00000000000 - DEMO




N = 12 ndash L








(12 ndash L) = (13) x (20 ndash L)




163 = 2L3

16 = 2L

L = 162 = 8cm

Portanto





RESPOSTA D






A) 2

B) 4

00000000000

00000000000 - DEMO




C) 5

D) 8

E) 10

RESOLUCcedilAtildeO





simultaneamente




Probabilidade(A)



1Probabilidade(A)

5





Probabilidade(B)



1Probabilidade(B)

4








00000000000

00000000000 - DEMO





5 4


20



RESPOSTA C






A) 98

B) 112

C) 26

D) 66

E) 82

RESOLUCcedilAtildeO


Sabemos que


seguinte

5 114

8 5C C C

5 114

8 5C C C

40 25 814

40C


00000000000

00000000000 - DEMO






RESPOSTA D





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800

RESOLUCcedilAtildeO




Controle = 2P + 16




(2P+ 16) + 2P = 30

4P = 14

14 735

4 2P


RESPOSTA A

00000000000

00000000000 - DEMO







A) 6

B) 9

C) 12

D) 16

E) 25

RESOLUCcedilAtildeO




L = V ndash C






L = V ndash C

12 = V ndash 40

V = 52 reais






reais) Assim

L = V ndash C

-3 = V ndash 60

V = 57 reais



00000000000

00000000000 - DEMO








de 9

RESPOSTA B







de

A) 15 dias

B) 16 dias

C) 18 dias

D) 20 dias

E) 24 dias

RESOLUCcedilAtildeO





trabalho

15 7200 8

15 ndash 3 18000-7200 X

00000000000

00000000000 - DEMO








trabalho

15 7200 8

12 10800 X



trabalho

12 7200 8

15 10800 X


8 12 7200

15 10800

15

X

X dias

RESPOSTA A






00000000000

00000000000 - DEMO






A) 36

B) 72

C) 144

D) 216

E) 432

RESOLUCcedilAtildeO








3 a 3 C(43) = 4





classificado






00000000000

00000000000 - DEMO





fazendo 7 pontos

RESPOSTA E



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

RESOLUCcedilAtildeO




30 18 3

n 80 4







30 18 4

n 80 3


00000000000

00000000000 - DEMO




30 18 4

80 3n


30 18 4

80 3

30 80 3 18 4

30 80 3100

18 4

n

n

n


dias

RESPOSTA B





2 141

Entatildeo






RESOLUCcedilAtildeO

00000000000

00000000000 - DEMO







2520 metros



abaixo



90 90D

2 22 90D

22 90D

90 2D


90 141 1269D




RESPOSTA B



00000000000

00000000000 - DEMO









a) 10

b) 11

c) 15

d) 16

e) 24

RESOLUCcedilAtildeO














RESPOSTA B




mm do ponto A

00000000000

00000000000 - DEMO





(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

RESOLUCcedilAtildeO




AD = AB + BC + CD = 658


BD = BC + CD = 419


AC = AB + BC = 487


que

AB + BC + CD = 658

BC + CD = 419

Logo

AB + 419 = 658

AB = 239mm


AB + BC + CD = 658

AB + BC = 487

00000000000

00000000000 - DEMO




Logo

487 + CD = 658

CD = 171mm

Assim

AB + BC + CD = 658

239 + BC + 171 = 658

BC = 248mm

RESPOSTA E


Abraccedilo

Prof Arthur Lima

Periscope ARTHURRRL


00000000000 - DEMO



















a) 78

b) 76

c) 74

d) 72






00000000000

00000000000 - DEMO





em reais












a

a) 14

b) 18

c) 22

d) 28





a) 120

b) 240

c) 360

d) 480




00000000000

00000000000 - DEMO






(A) 90

(B) 84

(C) 82

(D) 80

(E) 78







a) 6

b) 7

c) 10

d) 14







(A) 3572200

(B) 820000

(C) 357720

(D) 35772

(E) 33220

00000000000

00000000000 - DEMO






a) 80

b) 100

c) 75

d) 25

e) 108








(A) 15

(B) 16

(C) 17

(D) 18

(E) 19





gramas a

(A) 338

(B) 208

(C) 200

(D) 182

(E) 220

00000000000

00000000000 - DEMO









(A) 15h 4 min

(B) 15h 15 min

(C) 15 h 24 min

(D) 15h 29 min

(E) 15 h 31 min





eacute igual a

(A) 125ordm

(B) 115ordm

(C) 110ordm

(D) 135ordm

(E) 130ordm






00000000000

00000000000 - DEMO




(A) 2

7

(B) 5

21

(C) 10

21

(D) 2

49

(E) 10

49









(A) 040

(B) 036

(C) 032

(D) 030

(E) 028









00000000000

00000000000 - DEMO




(A) 1

2

(B) 2

3

(C) 12

35

(D) 8

15

(E) 10

21











(A) R$ 7200000

(B) R$ 8250000

(C) R$ 9400000

(D) R$ 11250000

(E) R$ 12000000







00000000000

00000000000 - DEMO




(A) 3

(B) 6

(C) 4

(D) 5

(E) 7








(A) 23

(B) 78

(C) 14

(D) 38

(E) 98











(D) igual a 8

(E) maior que 13

00000000000

00000000000 - DEMO








(A) 126

(B) 135

(C) 144

(D) 162

(E) 153







(A) 5

(B) 6

(C) 4

(D) 7

(E) 3



00000000000

00000000000 - DEMO










(A) 128

(B) 130

(C) 137

(D) 140

(E) 145










(A) 33

(B) 19

(C) 24

00000000000

00000000000 - DEMO




(D) 15

(E) 23










(A) 58

(B) 65

(C) 76

(D) 53

(E) 95









(A) 36

(B) 54

(C) 58

(D) 56

(E) 48

00000000000

00000000000 - DEMO








(A) 64

(B) 48

(C) 36

(D) 24

(E) 16









00000000000

00000000000 - DEMO











igual a n













retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2






A) 2

B) 4

C) 5

D) 8

E) 10






A) 98

B) 112

C) 26

00000000000

00000000000 - DEMO




D) 66

E) 82





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800




A) 6

B) 9

C) 12

D) 16

E) 25







de

A) 15 dias

B) 16 dias

00000000000

00000000000 - DEMO




C) 18 dias

D) 20 dias

E) 24 dias








A) 36

B) 72

C) 144

D) 216

E) 432



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

00000000000

00000000000 - DEMO








2 141

Entatildeo













a) 10

b) 11

c) 15

d) 16

e) 24

00000000000

00000000000 - DEMO







mm do ponto A


(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

00000000000

00000000000 - DEMO




01 D 02 A 03 B 04 D 05 C 06 A 07 C

08 B 09 C 10 D 11 E 12 E 13 D 14 C

15 A 16 D 17 B 18 D 19 B 20 A 21 C

22 B 23 E 24 E 25 B 26 B 27 A 28 CEE

29 CCEC 30 D 31 C 32 D 33 A 34 B 35 A

36 E 37 B 38 B 39 B 40 E

00000000000

00000000000 - DEMO






x + 45 = 90

x = 90 ndash 45

x = 45ordm




180 = 45 + 45 +

180 = 90 +

180 ndash 90 =

90ordm =


+ = 90 + 45 = 135ordm

RESPOSTA D




00000000000

00000000000 - DEMO






(A) 2

7

(B) 5

21

(C) 10

21

(D) 2

49

(E) 10

49

RESOLUCcedilAtildeO





de 27 x 56 = 17 x 53 = 521







enunciado





00000000000

00000000000 - DEMO







RESPOSTA C









(A) 040

(B) 036

(C) 032

(D) 030

(E) 028

RESPOSTA






eacute 160x025 = 040m3

RESPOSTA A






00000000000

00000000000 - DEMO







(A) 1

2

(B) 2

3

(C) 12

35

(D) 8

15

(E) 10

21

RESOLUCcedilAtildeO



P3 = Q5 = R7

Assim

P3 = R7

P = 3R7

Q5 = R7

Q = 5R7


Total = P + Q + R = 3R7 + 5R7 + R = 8R7 + 7R7 = 15R7


P + Q = 3R7 + 5R7 = 8R7



00000000000

00000000000 - DEMO









RESPOSTA D











(A) R$ 7200000

(B) R$ 8250000

(C) R$ 9400000

(D) R$ 11250000

(E) R$ 12000000

RESOLUCcedilAtildeO





300000 ------------- 22 + 28 + 30

Valor ------------ 22

00000000000

00000000000 - DEMO




300000 x 22 = Valor x 80

Valor = 82500 reais

RESPOSTA B







(A) 3

(B) 6

(C) 4

(D) 5

(E) 7

RESOLUCcedilAtildeO













menores

RESPOSTA D

00000000000

00000000000 - DEMO











(A) 23

(B) 78

(C) 14

(D) 38

(E) 98

RESOLUCcedilAtildeO



200 unidades ------------ 3E4

300 unidades ------------ N

200N = 300x3E4

2N = 3x3E4

2N = 9E4

N = 9E8





eacute




RESPOSTA B

00000000000

00000000000 - DEMO














(D) igual a 8

(E) maior que 13

RESOLUCcedilAtildeO



- 9 18 19 27 28 29 36 37 38 39




8cm3

RESPOSTA A




00000000000

00000000000 - DEMO





(A) 126

(B) 135

(C) 144

(D) 162

(E) 153

RESOLUCcedilAtildeO


medida igual a 10




102 = 62 + X2

100 = 36 + X2

64 = X2

8 = X


10

10

X

00000000000

00000000000 - DEMO







RESPOSTA C







(A) 5

(B) 6

(C) 4

(D) 7

(E) 3

RESOLUCcedilAtildeO






novamente 15




somem 15)


RESPOSTA B

00000000000

00000000000 - DEMO












(A) 128

(B) 130

(C) 137

(D) 140

(E) 145

RESOLUCcedilAtildeO





12 -------------- 87

100 ------------ V

12V = 10087

V = 100x8712

V = 725 votos

00000000000

00000000000 - DEMO







= 20


basta fazer


RESPOSTA E










(A) 33

(B) 19

(C) 24

(D) 15

(E) 23

RESOLUCcedilAtildeO



00000000000

00000000000 - DEMO










diagrama)


diagrama)

Ateacute aqui temos

00000000000

00000000000 - DEMO




Continuando






13)


D + F + G = 24

15 + G = 24

G = 9

D + G = 13

D + 9 = 13

D = 4

D + F = 15

4 + F = 15

F = 11

Ateacute aqui temos

00000000000

00000000000 - DEMO








RESPOSTA E










(A) 58

(B) 65

(C) 76

(D) 53

(E) 95

RESOLUCcedilAtildeO








00000000000

00000000000 - DEMO











diagrama temos

00000000000

00000000000 - DEMO






65

RESPOSTA B









(A) 36

(B) 54

(C) 58

(D) 56

(E) 48

RESOLUCcedilAtildeO

00000000000

00000000000 - DEMO
















2 x (90 + D) = 3 x (180 ndash D)

180 + 2D = 540 ndash 3D

D = 72 metros



3 metros -------------- 1 segundo


3t = 162

t = 54 segundos

RESPOSTA B



00000000000

00000000000 - DEMO






(A) 64

(B) 48

(C) 36

(D) 24

(E) 16

RESOLUCcedilAtildeO





4 x 4 x 4 = 43 = 64 dados

RESPOSTA A








00000000000

00000000000 - DEMO








RESOLUCcedilAtildeO






5

16F para a


sabemos que



3 1 5

16 10 16F F F F R

3 1 5

16 10 16F F F F R

160 30 16 50

160 160 160 160

FF F F R

64

160

FR

040F R

40F R



A esposa recebeu 5

03125 312516



00000000000

00000000000 - DEMO











Resposta C E E





igual a n









RESOLUCcedilAtildeO








00000000000

00000000000 - DEMO




220 = 22 x 5 x 11

284 = 22 x 71






amigos Item CORRETO











Resposta C C E C





retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2

RESOLUCcedilAtildeO



temos



40 = 2 x L + 2 x M

00000000000

00000000000 - DEMO




40 = 2 x (L + M)

40 2 = L + M

L + M = 20

M = 20 ndash L






Por outro lado


24 = 2 x (L + N)

24 2 = L + N

12 = L + N

00000000000

00000000000 - DEMO




N = 12 ndash L








(12 ndash L) = (13) x (20 ndash L)




163 = 2L3

16 = 2L

L = 162 = 8cm

Portanto





RESPOSTA D






A) 2

B) 4

00000000000

00000000000 - DEMO




C) 5

D) 8

E) 10

RESOLUCcedilAtildeO





simultaneamente




Probabilidade(A)



1Probabilidade(A)

5





Probabilidade(B)



1Probabilidade(B)

4








00000000000

00000000000 - DEMO





5 4


20



RESPOSTA C






A) 98

B) 112

C) 26

D) 66

E) 82

RESOLUCcedilAtildeO


Sabemos que


seguinte

5 114

8 5C C C

5 114

8 5C C C

40 25 814

40C


00000000000

00000000000 - DEMO






RESPOSTA D





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800

RESOLUCcedilAtildeO




Controle = 2P + 16




(2P+ 16) + 2P = 30

4P = 14

14 735

4 2P


RESPOSTA A

00000000000

00000000000 - DEMO







A) 6

B) 9

C) 12

D) 16

E) 25

RESOLUCcedilAtildeO




L = V ndash C






L = V ndash C

12 = V ndash 40

V = 52 reais






reais) Assim

L = V ndash C

-3 = V ndash 60

V = 57 reais



00000000000

00000000000 - DEMO








de 9

RESPOSTA B







de

A) 15 dias

B) 16 dias

C) 18 dias

D) 20 dias

E) 24 dias

RESOLUCcedilAtildeO





trabalho

15 7200 8

15 ndash 3 18000-7200 X

00000000000

00000000000 - DEMO








trabalho

15 7200 8

12 10800 X



trabalho

12 7200 8

15 10800 X


8 12 7200

15 10800

15

X

X dias

RESPOSTA A






00000000000

00000000000 - DEMO






A) 36

B) 72

C) 144

D) 216

E) 432

RESOLUCcedilAtildeO








3 a 3 C(43) = 4





classificado






00000000000

00000000000 - DEMO





fazendo 7 pontos

RESPOSTA E



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

RESOLUCcedilAtildeO




30 18 3

n 80 4







30 18 4

n 80 3


00000000000

00000000000 - DEMO




30 18 4

80 3n


30 18 4

80 3

30 80 3 18 4

30 80 3100

18 4

n

n

n


dias

RESPOSTA B





2 141

Entatildeo






RESOLUCcedilAtildeO

00000000000

00000000000 - DEMO







2520 metros



abaixo



90 90D

2 22 90D

22 90D

90 2D


90 141 1269D




RESPOSTA B



00000000000

00000000000 - DEMO









a) 10

b) 11

c) 15

d) 16

e) 24

RESOLUCcedilAtildeO














RESPOSTA B




mm do ponto A

00000000000

00000000000 - DEMO





(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

RESOLUCcedilAtildeO




AD = AB + BC + CD = 658


BD = BC + CD = 419


AC = AB + BC = 487


que

AB + BC + CD = 658

BC + CD = 419

Logo

AB + 419 = 658

AB = 239mm


AB + BC + CD = 658

AB + BC = 487

00000000000

00000000000 - DEMO




Logo

487 + CD = 658

CD = 171mm

Assim

AB + BC + CD = 658

239 + BC + 171 = 658

BC = 248mm

RESPOSTA E


Abraccedilo

Prof Arthur Lima

Periscope ARTHURRRL


00000000000 - DEMO



















a) 78

b) 76

c) 74

d) 72






00000000000

00000000000 - DEMO





em reais












a

a) 14

b) 18

c) 22

d) 28





a) 120

b) 240

c) 360

d) 480




00000000000

00000000000 - DEMO






(A) 90

(B) 84

(C) 82

(D) 80

(E) 78







a) 6

b) 7

c) 10

d) 14







(A) 3572200

(B) 820000

(C) 357720

(D) 35772

(E) 33220

00000000000

00000000000 - DEMO






a) 80

b) 100

c) 75

d) 25

e) 108








(A) 15

(B) 16

(C) 17

(D) 18

(E) 19





gramas a

(A) 338

(B) 208

(C) 200

(D) 182

(E) 220

00000000000

00000000000 - DEMO









(A) 15h 4 min

(B) 15h 15 min

(C) 15 h 24 min

(D) 15h 29 min

(E) 15 h 31 min





eacute igual a

(A) 125ordm

(B) 115ordm

(C) 110ordm

(D) 135ordm

(E) 130ordm






00000000000

00000000000 - DEMO




(A) 2

7

(B) 5

21

(C) 10

21

(D) 2

49

(E) 10

49









(A) 040

(B) 036

(C) 032

(D) 030

(E) 028









00000000000

00000000000 - DEMO




(A) 1

2

(B) 2

3

(C) 12

35

(D) 8

15

(E) 10

21











(A) R$ 7200000

(B) R$ 8250000

(C) R$ 9400000

(D) R$ 11250000

(E) R$ 12000000







00000000000

00000000000 - DEMO




(A) 3

(B) 6

(C) 4

(D) 5

(E) 7








(A) 23

(B) 78

(C) 14

(D) 38

(E) 98











(D) igual a 8

(E) maior que 13

00000000000

00000000000 - DEMO








(A) 126

(B) 135

(C) 144

(D) 162

(E) 153







(A) 5

(B) 6

(C) 4

(D) 7

(E) 3



00000000000

00000000000 - DEMO










(A) 128

(B) 130

(C) 137

(D) 140

(E) 145










(A) 33

(B) 19

(C) 24

00000000000

00000000000 - DEMO




(D) 15

(E) 23










(A) 58

(B) 65

(C) 76

(D) 53

(E) 95









(A) 36

(B) 54

(C) 58

(D) 56

(E) 48

00000000000

00000000000 - DEMO








(A) 64

(B) 48

(C) 36

(D) 24

(E) 16









00000000000

00000000000 - DEMO











igual a n













retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2






A) 2

B) 4

C) 5

D) 8

E) 10






A) 98

B) 112

C) 26

00000000000

00000000000 - DEMO




D) 66

E) 82





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800




A) 6

B) 9

C) 12

D) 16

E) 25







de

A) 15 dias

B) 16 dias

00000000000

00000000000 - DEMO




C) 18 dias

D) 20 dias

E) 24 dias








A) 36

B) 72

C) 144

D) 216

E) 432



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

00000000000

00000000000 - DEMO








2 141

Entatildeo













a) 10

b) 11

c) 15

d) 16

e) 24

00000000000

00000000000 - DEMO







mm do ponto A


(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

00000000000

00000000000 - DEMO




01 D 02 A 03 B 04 D 05 C 06 A 07 C

08 B 09 C 10 D 11 E 12 E 13 D 14 C

15 A 16 D 17 B 18 D 19 B 20 A 21 C

22 B 23 E 24 E 25 B 26 B 27 A 28 CEE

29 CCEC 30 D 31 C 32 D 33 A 34 B 35 A

36 E 37 B 38 B 39 B 40 E

00000000000

00000000000 - DEMO






(A) 2

7

(B) 5

21

(C) 10

21

(D) 2

49

(E) 10

49

RESOLUCcedilAtildeO





de 27 x 56 = 17 x 53 = 521







enunciado





00000000000

00000000000 - DEMO







RESPOSTA C









(A) 040

(B) 036

(C) 032

(D) 030

(E) 028

RESPOSTA






eacute 160x025 = 040m3

RESPOSTA A






00000000000

00000000000 - DEMO







(A) 1

2

(B) 2

3

(C) 12

35

(D) 8

15

(E) 10

21

RESOLUCcedilAtildeO



P3 = Q5 = R7

Assim

P3 = R7

P = 3R7

Q5 = R7

Q = 5R7


Total = P + Q + R = 3R7 + 5R7 + R = 8R7 + 7R7 = 15R7


P + Q = 3R7 + 5R7 = 8R7



00000000000

00000000000 - DEMO









RESPOSTA D











(A) R$ 7200000

(B) R$ 8250000

(C) R$ 9400000

(D) R$ 11250000

(E) R$ 12000000

RESOLUCcedilAtildeO





300000 ------------- 22 + 28 + 30

Valor ------------ 22

00000000000

00000000000 - DEMO




300000 x 22 = Valor x 80

Valor = 82500 reais

RESPOSTA B







(A) 3

(B) 6

(C) 4

(D) 5

(E) 7

RESOLUCcedilAtildeO













menores

RESPOSTA D

00000000000

00000000000 - DEMO











(A) 23

(B) 78

(C) 14

(D) 38

(E) 98

RESOLUCcedilAtildeO



200 unidades ------------ 3E4

300 unidades ------------ N

200N = 300x3E4

2N = 3x3E4

2N = 9E4

N = 9E8





eacute




RESPOSTA B

00000000000

00000000000 - DEMO














(D) igual a 8

(E) maior que 13

RESOLUCcedilAtildeO



- 9 18 19 27 28 29 36 37 38 39




8cm3

RESPOSTA A




00000000000

00000000000 - DEMO





(A) 126

(B) 135

(C) 144

(D) 162

(E) 153

RESOLUCcedilAtildeO


medida igual a 10




102 = 62 + X2

100 = 36 + X2

64 = X2

8 = X


10

10

X

00000000000

00000000000 - DEMO







RESPOSTA C







(A) 5

(B) 6

(C) 4

(D) 7

(E) 3

RESOLUCcedilAtildeO






novamente 15




somem 15)


RESPOSTA B

00000000000

00000000000 - DEMO












(A) 128

(B) 130

(C) 137

(D) 140

(E) 145

RESOLUCcedilAtildeO





12 -------------- 87

100 ------------ V

12V = 10087

V = 100x8712

V = 725 votos

00000000000

00000000000 - DEMO







= 20


basta fazer


RESPOSTA E










(A) 33

(B) 19

(C) 24

(D) 15

(E) 23

RESOLUCcedilAtildeO



00000000000

00000000000 - DEMO










diagrama)


diagrama)

Ateacute aqui temos

00000000000

00000000000 - DEMO




Continuando






13)


D + F + G = 24

15 + G = 24

G = 9

D + G = 13

D + 9 = 13

D = 4

D + F = 15

4 + F = 15

F = 11

Ateacute aqui temos

00000000000

00000000000 - DEMO








RESPOSTA E










(A) 58

(B) 65

(C) 76

(D) 53

(E) 95

RESOLUCcedilAtildeO








00000000000

00000000000 - DEMO











diagrama temos

00000000000

00000000000 - DEMO






65

RESPOSTA B









(A) 36

(B) 54

(C) 58

(D) 56

(E) 48

RESOLUCcedilAtildeO

00000000000

00000000000 - DEMO
















2 x (90 + D) = 3 x (180 ndash D)

180 + 2D = 540 ndash 3D

D = 72 metros



3 metros -------------- 1 segundo


3t = 162

t = 54 segundos

RESPOSTA B



00000000000

00000000000 - DEMO






(A) 64

(B) 48

(C) 36

(D) 24

(E) 16

RESOLUCcedilAtildeO





4 x 4 x 4 = 43 = 64 dados

RESPOSTA A








00000000000

00000000000 - DEMO








RESOLUCcedilAtildeO






5

16F para a


sabemos que



3 1 5

16 10 16F F F F R

3 1 5

16 10 16F F F F R

160 30 16 50

160 160 160 160

FF F F R

64

160

FR

040F R

40F R



A esposa recebeu 5

03125 312516



00000000000

00000000000 - DEMO











Resposta C E E





igual a n









RESOLUCcedilAtildeO








00000000000

00000000000 - DEMO




220 = 22 x 5 x 11

284 = 22 x 71






amigos Item CORRETO











Resposta C C E C





retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2

RESOLUCcedilAtildeO



temos



40 = 2 x L + 2 x M

00000000000

00000000000 - DEMO




40 = 2 x (L + M)

40 2 = L + M

L + M = 20

M = 20 ndash L






Por outro lado


24 = 2 x (L + N)

24 2 = L + N

12 = L + N

00000000000

00000000000 - DEMO




N = 12 ndash L








(12 ndash L) = (13) x (20 ndash L)




163 = 2L3

16 = 2L

L = 162 = 8cm

Portanto





RESPOSTA D






A) 2

B) 4

00000000000

00000000000 - DEMO




C) 5

D) 8

E) 10

RESOLUCcedilAtildeO





simultaneamente




Probabilidade(A)



1Probabilidade(A)

5





Probabilidade(B)



1Probabilidade(B)

4








00000000000

00000000000 - DEMO





5 4


20



RESPOSTA C






A) 98

B) 112

C) 26

D) 66

E) 82

RESOLUCcedilAtildeO


Sabemos que


seguinte

5 114

8 5C C C

5 114

8 5C C C

40 25 814

40C


00000000000

00000000000 - DEMO






RESPOSTA D





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800

RESOLUCcedilAtildeO




Controle = 2P + 16




(2P+ 16) + 2P = 30

4P = 14

14 735

4 2P


RESPOSTA A

00000000000

00000000000 - DEMO







A) 6

B) 9

C) 12

D) 16

E) 25

RESOLUCcedilAtildeO




L = V ndash C






L = V ndash C

12 = V ndash 40

V = 52 reais






reais) Assim

L = V ndash C

-3 = V ndash 60

V = 57 reais



00000000000

00000000000 - DEMO








de 9

RESPOSTA B







de

A) 15 dias

B) 16 dias

C) 18 dias

D) 20 dias

E) 24 dias

RESOLUCcedilAtildeO





trabalho

15 7200 8

15 ndash 3 18000-7200 X

00000000000

00000000000 - DEMO








trabalho

15 7200 8

12 10800 X



trabalho

12 7200 8

15 10800 X


8 12 7200

15 10800

15

X

X dias

RESPOSTA A






00000000000

00000000000 - DEMO






A) 36

B) 72

C) 144

D) 216

E) 432

RESOLUCcedilAtildeO








3 a 3 C(43) = 4





classificado






00000000000

00000000000 - DEMO





fazendo 7 pontos

RESPOSTA E



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

RESOLUCcedilAtildeO




30 18 3

n 80 4







30 18 4

n 80 3


00000000000

00000000000 - DEMO




30 18 4

80 3n


30 18 4

80 3

30 80 3 18 4

30 80 3100

18 4

n

n

n


dias

RESPOSTA B





2 141

Entatildeo






RESOLUCcedilAtildeO

00000000000

00000000000 - DEMO







2520 metros



abaixo



90 90D

2 22 90D

22 90D

90 2D


90 141 1269D




RESPOSTA B



00000000000

00000000000 - DEMO









a) 10

b) 11

c) 15

d) 16

e) 24

RESOLUCcedilAtildeO














RESPOSTA B




mm do ponto A

00000000000

00000000000 - DEMO





(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

RESOLUCcedilAtildeO




AD = AB + BC + CD = 658


BD = BC + CD = 419


AC = AB + BC = 487


que

AB + BC + CD = 658

BC + CD = 419

Logo

AB + 419 = 658

AB = 239mm


AB + BC + CD = 658

AB + BC = 487

00000000000

00000000000 - DEMO




Logo

487 + CD = 658

CD = 171mm

Assim

AB + BC + CD = 658

239 + BC + 171 = 658

BC = 248mm

RESPOSTA E


Abraccedilo

Prof Arthur Lima

Periscope ARTHURRRL


00000000000 - DEMO



















a) 78

b) 76

c) 74

d) 72






00000000000

00000000000 - DEMO





em reais












a

a) 14

b) 18

c) 22

d) 28





a) 120

b) 240

c) 360

d) 480




00000000000

00000000000 - DEMO






(A) 90

(B) 84

(C) 82

(D) 80

(E) 78







a) 6

b) 7

c) 10

d) 14







(A) 3572200

(B) 820000

(C) 357720

(D) 35772

(E) 33220

00000000000

00000000000 - DEMO






a) 80

b) 100

c) 75

d) 25

e) 108








(A) 15

(B) 16

(C) 17

(D) 18

(E) 19





gramas a

(A) 338

(B) 208

(C) 200

(D) 182

(E) 220

00000000000

00000000000 - DEMO









(A) 15h 4 min

(B) 15h 15 min

(C) 15 h 24 min

(D) 15h 29 min

(E) 15 h 31 min





eacute igual a

(A) 125ordm

(B) 115ordm

(C) 110ordm

(D) 135ordm

(E) 130ordm






00000000000

00000000000 - DEMO




(A) 2

7

(B) 5

21

(C) 10

21

(D) 2

49

(E) 10

49









(A) 040

(B) 036

(C) 032

(D) 030

(E) 028









00000000000

00000000000 - DEMO




(A) 1

2

(B) 2

3

(C) 12

35

(D) 8

15

(E) 10

21











(A) R$ 7200000

(B) R$ 8250000

(C) R$ 9400000

(D) R$ 11250000

(E) R$ 12000000







00000000000

00000000000 - DEMO




(A) 3

(B) 6

(C) 4

(D) 5

(E) 7








(A) 23

(B) 78

(C) 14

(D) 38

(E) 98











(D) igual a 8

(E) maior que 13

00000000000

00000000000 - DEMO








(A) 126

(B) 135

(C) 144

(D) 162

(E) 153







(A) 5

(B) 6

(C) 4

(D) 7

(E) 3



00000000000

00000000000 - DEMO










(A) 128

(B) 130

(C) 137

(D) 140

(E) 145










(A) 33

(B) 19

(C) 24

00000000000

00000000000 - DEMO




(D) 15

(E) 23










(A) 58

(B) 65

(C) 76

(D) 53

(E) 95









(A) 36

(B) 54

(C) 58

(D) 56

(E) 48

00000000000

00000000000 - DEMO








(A) 64

(B) 48

(C) 36

(D) 24

(E) 16









00000000000

00000000000 - DEMO











igual a n













retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2






A) 2

B) 4

C) 5

D) 8

E) 10






A) 98

B) 112

C) 26

00000000000

00000000000 - DEMO




D) 66

E) 82





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800




A) 6

B) 9

C) 12

D) 16

E) 25







de

A) 15 dias

B) 16 dias

00000000000

00000000000 - DEMO




C) 18 dias

D) 20 dias

E) 24 dias








A) 36

B) 72

C) 144

D) 216

E) 432



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

00000000000

00000000000 - DEMO








2 141

Entatildeo













a) 10

b) 11

c) 15

d) 16

e) 24

00000000000

00000000000 - DEMO







mm do ponto A


(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

00000000000

00000000000 - DEMO




01 D 02 A 03 B 04 D 05 C 06 A 07 C

08 B 09 C 10 D 11 E 12 E 13 D 14 C

15 A 16 D 17 B 18 D 19 B 20 A 21 C

22 B 23 E 24 E 25 B 26 B 27 A 28 CEE

29 CCEC 30 D 31 C 32 D 33 A 34 B 35 A

36 E 37 B 38 B 39 B 40 E

00000000000

00000000000 - DEMO







RESPOSTA C









(A) 040

(B) 036

(C) 032

(D) 030

(E) 028

RESPOSTA






eacute 160x025 = 040m3

RESPOSTA A






00000000000

00000000000 - DEMO







(A) 1

2

(B) 2

3

(C) 12

35

(D) 8

15

(E) 10

21

RESOLUCcedilAtildeO



P3 = Q5 = R7

Assim

P3 = R7

P = 3R7

Q5 = R7

Q = 5R7


Total = P + Q + R = 3R7 + 5R7 + R = 8R7 + 7R7 = 15R7


P + Q = 3R7 + 5R7 = 8R7



00000000000

00000000000 - DEMO









RESPOSTA D











(A) R$ 7200000

(B) R$ 8250000

(C) R$ 9400000

(D) R$ 11250000

(E) R$ 12000000

RESOLUCcedilAtildeO





300000 ------------- 22 + 28 + 30

Valor ------------ 22

00000000000

00000000000 - DEMO




300000 x 22 = Valor x 80

Valor = 82500 reais

RESPOSTA B







(A) 3

(B) 6

(C) 4

(D) 5

(E) 7

RESOLUCcedilAtildeO













menores

RESPOSTA D

00000000000

00000000000 - DEMO











(A) 23

(B) 78

(C) 14

(D) 38

(E) 98

RESOLUCcedilAtildeO



200 unidades ------------ 3E4

300 unidades ------------ N

200N = 300x3E4

2N = 3x3E4

2N = 9E4

N = 9E8





eacute




RESPOSTA B

00000000000

00000000000 - DEMO














(D) igual a 8

(E) maior que 13

RESOLUCcedilAtildeO



- 9 18 19 27 28 29 36 37 38 39




8cm3

RESPOSTA A




00000000000

00000000000 - DEMO





(A) 126

(B) 135

(C) 144

(D) 162

(E) 153

RESOLUCcedilAtildeO


medida igual a 10




102 = 62 + X2

100 = 36 + X2

64 = X2

8 = X


10

10

X

00000000000

00000000000 - DEMO







RESPOSTA C







(A) 5

(B) 6

(C) 4

(D) 7

(E) 3

RESOLUCcedilAtildeO






novamente 15




somem 15)


RESPOSTA B

00000000000

00000000000 - DEMO












(A) 128

(B) 130

(C) 137

(D) 140

(E) 145

RESOLUCcedilAtildeO





12 -------------- 87

100 ------------ V

12V = 10087

V = 100x8712

V = 725 votos

00000000000

00000000000 - DEMO







= 20


basta fazer


RESPOSTA E










(A) 33

(B) 19

(C) 24

(D) 15

(E) 23

RESOLUCcedilAtildeO



00000000000

00000000000 - DEMO










diagrama)


diagrama)

Ateacute aqui temos

00000000000

00000000000 - DEMO




Continuando






13)


D + F + G = 24

15 + G = 24

G = 9

D + G = 13

D + 9 = 13

D = 4

D + F = 15

4 + F = 15

F = 11

Ateacute aqui temos

00000000000

00000000000 - DEMO








RESPOSTA E










(A) 58

(B) 65

(C) 76

(D) 53

(E) 95

RESOLUCcedilAtildeO








00000000000

00000000000 - DEMO











diagrama temos

00000000000

00000000000 - DEMO






65

RESPOSTA B









(A) 36

(B) 54

(C) 58

(D) 56

(E) 48

RESOLUCcedilAtildeO

00000000000

00000000000 - DEMO
















2 x (90 + D) = 3 x (180 ndash D)

180 + 2D = 540 ndash 3D

D = 72 metros



3 metros -------------- 1 segundo


3t = 162

t = 54 segundos

RESPOSTA B



00000000000

00000000000 - DEMO






(A) 64

(B) 48

(C) 36

(D) 24

(E) 16

RESOLUCcedilAtildeO





4 x 4 x 4 = 43 = 64 dados

RESPOSTA A








00000000000

00000000000 - DEMO








RESOLUCcedilAtildeO






5

16F para a


sabemos que



3 1 5

16 10 16F F F F R

3 1 5

16 10 16F F F F R

160 30 16 50

160 160 160 160

FF F F R

64

160

FR

040F R

40F R



A esposa recebeu 5

03125 312516



00000000000

00000000000 - DEMO











Resposta C E E





igual a n









RESOLUCcedilAtildeO








00000000000

00000000000 - DEMO




220 = 22 x 5 x 11

284 = 22 x 71






amigos Item CORRETO











Resposta C C E C





retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2

RESOLUCcedilAtildeO



temos



40 = 2 x L + 2 x M

00000000000

00000000000 - DEMO




40 = 2 x (L + M)

40 2 = L + M

L + M = 20

M = 20 ndash L






Por outro lado


24 = 2 x (L + N)

24 2 = L + N

12 = L + N

00000000000

00000000000 - DEMO




N = 12 ndash L








(12 ndash L) = (13) x (20 ndash L)




163 = 2L3

16 = 2L

L = 162 = 8cm

Portanto





RESPOSTA D






A) 2

B) 4

00000000000

00000000000 - DEMO




C) 5

D) 8

E) 10

RESOLUCcedilAtildeO





simultaneamente




Probabilidade(A)



1Probabilidade(A)

5





Probabilidade(B)



1Probabilidade(B)

4








00000000000

00000000000 - DEMO





5 4


20



RESPOSTA C






A) 98

B) 112

C) 26

D) 66

E) 82

RESOLUCcedilAtildeO


Sabemos que


seguinte

5 114

8 5C C C

5 114

8 5C C C

40 25 814

40C


00000000000

00000000000 - DEMO






RESPOSTA D





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800

RESOLUCcedilAtildeO




Controle = 2P + 16




(2P+ 16) + 2P = 30

4P = 14

14 735

4 2P


RESPOSTA A

00000000000

00000000000 - DEMO







A) 6

B) 9

C) 12

D) 16

E) 25

RESOLUCcedilAtildeO




L = V ndash C






L = V ndash C

12 = V ndash 40

V = 52 reais






reais) Assim

L = V ndash C

-3 = V ndash 60

V = 57 reais



00000000000

00000000000 - DEMO








de 9

RESPOSTA B







de

A) 15 dias

B) 16 dias

C) 18 dias

D) 20 dias

E) 24 dias

RESOLUCcedilAtildeO





trabalho

15 7200 8

15 ndash 3 18000-7200 X

00000000000

00000000000 - DEMO








trabalho

15 7200 8

12 10800 X



trabalho

12 7200 8

15 10800 X


8 12 7200

15 10800

15

X

X dias

RESPOSTA A






00000000000

00000000000 - DEMO






A) 36

B) 72

C) 144

D) 216

E) 432

RESOLUCcedilAtildeO








3 a 3 C(43) = 4





classificado






00000000000

00000000000 - DEMO





fazendo 7 pontos

RESPOSTA E



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

RESOLUCcedilAtildeO




30 18 3

n 80 4







30 18 4

n 80 3


00000000000

00000000000 - DEMO




30 18 4

80 3n


30 18 4

80 3

30 80 3 18 4

30 80 3100

18 4

n

n

n


dias

RESPOSTA B





2 141

Entatildeo






RESOLUCcedilAtildeO

00000000000

00000000000 - DEMO







2520 metros



abaixo



90 90D

2 22 90D

22 90D

90 2D


90 141 1269D




RESPOSTA B



00000000000

00000000000 - DEMO









a) 10

b) 11

c) 15

d) 16

e) 24

RESOLUCcedilAtildeO














RESPOSTA B




mm do ponto A

00000000000

00000000000 - DEMO





(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

RESOLUCcedilAtildeO




AD = AB + BC + CD = 658


BD = BC + CD = 419


AC = AB + BC = 487


que

AB + BC + CD = 658

BC + CD = 419

Logo

AB + 419 = 658

AB = 239mm


AB + BC + CD = 658

AB + BC = 487

00000000000

00000000000 - DEMO




Logo

487 + CD = 658

CD = 171mm

Assim

AB + BC + CD = 658

239 + BC + 171 = 658

BC = 248mm

RESPOSTA E


Abraccedilo

Prof Arthur Lima

Periscope ARTHURRRL


00000000000 - DEMO



















a) 78

b) 76

c) 74

d) 72






00000000000

00000000000 - DEMO





em reais












a

a) 14

b) 18

c) 22

d) 28





a) 120

b) 240

c) 360

d) 480




00000000000

00000000000 - DEMO






(A) 90

(B) 84

(C) 82

(D) 80

(E) 78







a) 6

b) 7

c) 10

d) 14







(A) 3572200

(B) 820000

(C) 357720

(D) 35772

(E) 33220

00000000000

00000000000 - DEMO






a) 80

b) 100

c) 75

d) 25

e) 108








(A) 15

(B) 16

(C) 17

(D) 18

(E) 19





gramas a

(A) 338

(B) 208

(C) 200

(D) 182

(E) 220

00000000000

00000000000 - DEMO









(A) 15h 4 min

(B) 15h 15 min

(C) 15 h 24 min

(D) 15h 29 min

(E) 15 h 31 min





eacute igual a

(A) 125ordm

(B) 115ordm

(C) 110ordm

(D) 135ordm

(E) 130ordm






00000000000

00000000000 - DEMO




(A) 2

7

(B) 5

21

(C) 10

21

(D) 2

49

(E) 10

49









(A) 040

(B) 036

(C) 032

(D) 030

(E) 028









00000000000

00000000000 - DEMO




(A) 1

2

(B) 2

3

(C) 12

35

(D) 8

15

(E) 10

21











(A) R$ 7200000

(B) R$ 8250000

(C) R$ 9400000

(D) R$ 11250000

(E) R$ 12000000







00000000000

00000000000 - DEMO




(A) 3

(B) 6

(C) 4

(D) 5

(E) 7








(A) 23

(B) 78

(C) 14

(D) 38

(E) 98











(D) igual a 8

(E) maior que 13

00000000000

00000000000 - DEMO








(A) 126

(B) 135

(C) 144

(D) 162

(E) 153







(A) 5

(B) 6

(C) 4

(D) 7

(E) 3



00000000000

00000000000 - DEMO










(A) 128

(B) 130

(C) 137

(D) 140

(E) 145










(A) 33

(B) 19

(C) 24

00000000000

00000000000 - DEMO




(D) 15

(E) 23










(A) 58

(B) 65

(C) 76

(D) 53

(E) 95









(A) 36

(B) 54

(C) 58

(D) 56

(E) 48

00000000000

00000000000 - DEMO








(A) 64

(B) 48

(C) 36

(D) 24

(E) 16









00000000000

00000000000 - DEMO











igual a n













retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2






A) 2

B) 4

C) 5

D) 8

E) 10






A) 98

B) 112

C) 26

00000000000

00000000000 - DEMO




D) 66

E) 82





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800




A) 6

B) 9

C) 12

D) 16

E) 25







de

A) 15 dias

B) 16 dias

00000000000

00000000000 - DEMO




C) 18 dias

D) 20 dias

E) 24 dias








A) 36

B) 72

C) 144

D) 216

E) 432



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

00000000000

00000000000 - DEMO








2 141

Entatildeo













a) 10

b) 11

c) 15

d) 16

e) 24

00000000000

00000000000 - DEMO







mm do ponto A


(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

00000000000

00000000000 - DEMO




01 D 02 A 03 B 04 D 05 C 06 A 07 C

08 B 09 C 10 D 11 E 12 E 13 D 14 C

15 A 16 D 17 B 18 D 19 B 20 A 21 C

22 B 23 E 24 E 25 B 26 B 27 A 28 CEE

29 CCEC 30 D 31 C 32 D 33 A 34 B 35 A

36 E 37 B 38 B 39 B 40 E

00000000000

00000000000 - DEMO







(A) 1

2

(B) 2

3

(C) 12

35

(D) 8

15

(E) 10

21

RESOLUCcedilAtildeO



P3 = Q5 = R7

Assim

P3 = R7

P = 3R7

Q5 = R7

Q = 5R7


Total = P + Q + R = 3R7 + 5R7 + R = 8R7 + 7R7 = 15R7


P + Q = 3R7 + 5R7 = 8R7



00000000000

00000000000 - DEMO









RESPOSTA D











(A) R$ 7200000

(B) R$ 8250000

(C) R$ 9400000

(D) R$ 11250000

(E) R$ 12000000

RESOLUCcedilAtildeO





300000 ------------- 22 + 28 + 30

Valor ------------ 22

00000000000

00000000000 - DEMO




300000 x 22 = Valor x 80

Valor = 82500 reais

RESPOSTA B







(A) 3

(B) 6

(C) 4

(D) 5

(E) 7

RESOLUCcedilAtildeO













menores

RESPOSTA D

00000000000

00000000000 - DEMO











(A) 23

(B) 78

(C) 14

(D) 38

(E) 98

RESOLUCcedilAtildeO



200 unidades ------------ 3E4

300 unidades ------------ N

200N = 300x3E4

2N = 3x3E4

2N = 9E4

N = 9E8





eacute




RESPOSTA B

00000000000

00000000000 - DEMO














(D) igual a 8

(E) maior que 13

RESOLUCcedilAtildeO



- 9 18 19 27 28 29 36 37 38 39




8cm3

RESPOSTA A




00000000000

00000000000 - DEMO





(A) 126

(B) 135

(C) 144

(D) 162

(E) 153

RESOLUCcedilAtildeO


medida igual a 10




102 = 62 + X2

100 = 36 + X2

64 = X2

8 = X


10

10

X

00000000000

00000000000 - DEMO







RESPOSTA C







(A) 5

(B) 6

(C) 4

(D) 7

(E) 3

RESOLUCcedilAtildeO






novamente 15




somem 15)


RESPOSTA B

00000000000

00000000000 - DEMO












(A) 128

(B) 130

(C) 137

(D) 140

(E) 145

RESOLUCcedilAtildeO





12 -------------- 87

100 ------------ V

12V = 10087

V = 100x8712

V = 725 votos

00000000000

00000000000 - DEMO







= 20


basta fazer


RESPOSTA E










(A) 33

(B) 19

(C) 24

(D) 15

(E) 23

RESOLUCcedilAtildeO



00000000000

00000000000 - DEMO










diagrama)


diagrama)

Ateacute aqui temos

00000000000

00000000000 - DEMO




Continuando






13)


D + F + G = 24

15 + G = 24

G = 9

D + G = 13

D + 9 = 13

D = 4

D + F = 15

4 + F = 15

F = 11

Ateacute aqui temos

00000000000

00000000000 - DEMO








RESPOSTA E










(A) 58

(B) 65

(C) 76

(D) 53

(E) 95

RESOLUCcedilAtildeO








00000000000

00000000000 - DEMO











diagrama temos

00000000000

00000000000 - DEMO






65

RESPOSTA B









(A) 36

(B) 54

(C) 58

(D) 56

(E) 48

RESOLUCcedilAtildeO

00000000000

00000000000 - DEMO
















2 x (90 + D) = 3 x (180 ndash D)

180 + 2D = 540 ndash 3D

D = 72 metros



3 metros -------------- 1 segundo


3t = 162

t = 54 segundos

RESPOSTA B



00000000000

00000000000 - DEMO






(A) 64

(B) 48

(C) 36

(D) 24

(E) 16

RESOLUCcedilAtildeO





4 x 4 x 4 = 43 = 64 dados

RESPOSTA A








00000000000

00000000000 - DEMO








RESOLUCcedilAtildeO






5

16F para a


sabemos que



3 1 5

16 10 16F F F F R

3 1 5

16 10 16F F F F R

160 30 16 50

160 160 160 160

FF F F R

64

160

FR

040F R

40F R



A esposa recebeu 5

03125 312516



00000000000

00000000000 - DEMO











Resposta C E E





igual a n









RESOLUCcedilAtildeO








00000000000

00000000000 - DEMO




220 = 22 x 5 x 11

284 = 22 x 71






amigos Item CORRETO











Resposta C C E C





retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2

RESOLUCcedilAtildeO



temos



40 = 2 x L + 2 x M

00000000000

00000000000 - DEMO




40 = 2 x (L + M)

40 2 = L + M

L + M = 20

M = 20 ndash L






Por outro lado


24 = 2 x (L + N)

24 2 = L + N

12 = L + N

00000000000

00000000000 - DEMO




N = 12 ndash L








(12 ndash L) = (13) x (20 ndash L)




163 = 2L3

16 = 2L

L = 162 = 8cm

Portanto





RESPOSTA D






A) 2

B) 4

00000000000

00000000000 - DEMO




C) 5

D) 8

E) 10

RESOLUCcedilAtildeO





simultaneamente




Probabilidade(A)



1Probabilidade(A)

5





Probabilidade(B)



1Probabilidade(B)

4








00000000000

00000000000 - DEMO





5 4


20



RESPOSTA C






A) 98

B) 112

C) 26

D) 66

E) 82

RESOLUCcedilAtildeO


Sabemos que


seguinte

5 114

8 5C C C

5 114

8 5C C C

40 25 814

40C


00000000000

00000000000 - DEMO






RESPOSTA D





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800

RESOLUCcedilAtildeO




Controle = 2P + 16




(2P+ 16) + 2P = 30

4P = 14

14 735

4 2P


RESPOSTA A

00000000000

00000000000 - DEMO







A) 6

B) 9

C) 12

D) 16

E) 25

RESOLUCcedilAtildeO




L = V ndash C






L = V ndash C

12 = V ndash 40

V = 52 reais






reais) Assim

L = V ndash C

-3 = V ndash 60

V = 57 reais



00000000000

00000000000 - DEMO








de 9

RESPOSTA B







de

A) 15 dias

B) 16 dias

C) 18 dias

D) 20 dias

E) 24 dias

RESOLUCcedilAtildeO





trabalho

15 7200 8

15 ndash 3 18000-7200 X

00000000000

00000000000 - DEMO








trabalho

15 7200 8

12 10800 X



trabalho

12 7200 8

15 10800 X


8 12 7200

15 10800

15

X

X dias

RESPOSTA A






00000000000

00000000000 - DEMO






A) 36

B) 72

C) 144

D) 216

E) 432

RESOLUCcedilAtildeO








3 a 3 C(43) = 4





classificado






00000000000

00000000000 - DEMO





fazendo 7 pontos

RESPOSTA E



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

RESOLUCcedilAtildeO




30 18 3

n 80 4







30 18 4

n 80 3


00000000000

00000000000 - DEMO




30 18 4

80 3n


30 18 4

80 3

30 80 3 18 4

30 80 3100

18 4

n

n

n


dias

RESPOSTA B





2 141

Entatildeo






RESOLUCcedilAtildeO

00000000000

00000000000 - DEMO







2520 metros



abaixo



90 90D

2 22 90D

22 90D

90 2D


90 141 1269D




RESPOSTA B



00000000000

00000000000 - DEMO









a) 10

b) 11

c) 15

d) 16

e) 24

RESOLUCcedilAtildeO














RESPOSTA B




mm do ponto A

00000000000

00000000000 - DEMO





(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

RESOLUCcedilAtildeO




AD = AB + BC + CD = 658


BD = BC + CD = 419


AC = AB + BC = 487


que

AB + BC + CD = 658

BC + CD = 419

Logo

AB + 419 = 658

AB = 239mm


AB + BC + CD = 658

AB + BC = 487

00000000000

00000000000 - DEMO




Logo

487 + CD = 658

CD = 171mm

Assim

AB + BC + CD = 658

239 + BC + 171 = 658

BC = 248mm

RESPOSTA E


Abraccedilo

Prof Arthur Lima

Periscope ARTHURRRL


00000000000 - DEMO



















a) 78

b) 76

c) 74

d) 72






00000000000

00000000000 - DEMO





em reais












a

a) 14

b) 18

c) 22

d) 28





a) 120

b) 240

c) 360

d) 480




00000000000

00000000000 - DEMO






(A) 90

(B) 84

(C) 82

(D) 80

(E) 78







a) 6

b) 7

c) 10

d) 14







(A) 3572200

(B) 820000

(C) 357720

(D) 35772

(E) 33220

00000000000

00000000000 - DEMO






a) 80

b) 100

c) 75

d) 25

e) 108








(A) 15

(B) 16

(C) 17

(D) 18

(E) 19





gramas a

(A) 338

(B) 208

(C) 200

(D) 182

(E) 220

00000000000

00000000000 - DEMO









(A) 15h 4 min

(B) 15h 15 min

(C) 15 h 24 min

(D) 15h 29 min

(E) 15 h 31 min





eacute igual a

(A) 125ordm

(B) 115ordm

(C) 110ordm

(D) 135ordm

(E) 130ordm






00000000000

00000000000 - DEMO




(A) 2

7

(B) 5

21

(C) 10

21

(D) 2

49

(E) 10

49









(A) 040

(B) 036

(C) 032

(D) 030

(E) 028









00000000000

00000000000 - DEMO




(A) 1

2

(B) 2

3

(C) 12

35

(D) 8

15

(E) 10

21











(A) R$ 7200000

(B) R$ 8250000

(C) R$ 9400000

(D) R$ 11250000

(E) R$ 12000000







00000000000

00000000000 - DEMO




(A) 3

(B) 6

(C) 4

(D) 5

(E) 7








(A) 23

(B) 78

(C) 14

(D) 38

(E) 98











(D) igual a 8

(E) maior que 13

00000000000

00000000000 - DEMO








(A) 126

(B) 135

(C) 144

(D) 162

(E) 153







(A) 5

(B) 6

(C) 4

(D) 7

(E) 3



00000000000

00000000000 - DEMO










(A) 128

(B) 130

(C) 137

(D) 140

(E) 145










(A) 33

(B) 19

(C) 24

00000000000

00000000000 - DEMO




(D) 15

(E) 23










(A) 58

(B) 65

(C) 76

(D) 53

(E) 95









(A) 36

(B) 54

(C) 58

(D) 56

(E) 48

00000000000

00000000000 - DEMO








(A) 64

(B) 48

(C) 36

(D) 24

(E) 16









00000000000

00000000000 - DEMO











igual a n













retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2






A) 2

B) 4

C) 5

D) 8

E) 10






A) 98

B) 112

C) 26

00000000000

00000000000 - DEMO




D) 66

E) 82





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800




A) 6

B) 9

C) 12

D) 16

E) 25







de

A) 15 dias

B) 16 dias

00000000000

00000000000 - DEMO




C) 18 dias

D) 20 dias

E) 24 dias








A) 36

B) 72

C) 144

D) 216

E) 432



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

00000000000

00000000000 - DEMO








2 141

Entatildeo













a) 10

b) 11

c) 15

d) 16

e) 24

00000000000

00000000000 - DEMO







mm do ponto A


(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

00000000000

00000000000 - DEMO




01 D 02 A 03 B 04 D 05 C 06 A 07 C

08 B 09 C 10 D 11 E 12 E 13 D 14 C

15 A 16 D 17 B 18 D 19 B 20 A 21 C

22 B 23 E 24 E 25 B 26 B 27 A 28 CEE

29 CCEC 30 D 31 C 32 D 33 A 34 B 35 A

36 E 37 B 38 B 39 B 40 E

00000000000

00000000000 - DEMO









RESPOSTA D











(A) R$ 7200000

(B) R$ 8250000

(C) R$ 9400000

(D) R$ 11250000

(E) R$ 12000000

RESOLUCcedilAtildeO





300000 ------------- 22 + 28 + 30

Valor ------------ 22

00000000000

00000000000 - DEMO




300000 x 22 = Valor x 80

Valor = 82500 reais

RESPOSTA B







(A) 3

(B) 6

(C) 4

(D) 5

(E) 7

RESOLUCcedilAtildeO













menores

RESPOSTA D

00000000000

00000000000 - DEMO











(A) 23

(B) 78

(C) 14

(D) 38

(E) 98

RESOLUCcedilAtildeO



200 unidades ------------ 3E4

300 unidades ------------ N

200N = 300x3E4

2N = 3x3E4

2N = 9E4

N = 9E8





eacute




RESPOSTA B

00000000000

00000000000 - DEMO














(D) igual a 8

(E) maior que 13

RESOLUCcedilAtildeO



- 9 18 19 27 28 29 36 37 38 39




8cm3

RESPOSTA A




00000000000

00000000000 - DEMO





(A) 126

(B) 135

(C) 144

(D) 162

(E) 153

RESOLUCcedilAtildeO


medida igual a 10




102 = 62 + X2

100 = 36 + X2

64 = X2

8 = X


10

10

X

00000000000

00000000000 - DEMO







RESPOSTA C







(A) 5

(B) 6

(C) 4

(D) 7

(E) 3

RESOLUCcedilAtildeO






novamente 15




somem 15)


RESPOSTA B

00000000000

00000000000 - DEMO












(A) 128

(B) 130

(C) 137

(D) 140

(E) 145

RESOLUCcedilAtildeO





12 -------------- 87

100 ------------ V

12V = 10087

V = 100x8712

V = 725 votos

00000000000

00000000000 - DEMO







= 20


basta fazer


RESPOSTA E










(A) 33

(B) 19

(C) 24

(D) 15

(E) 23

RESOLUCcedilAtildeO



00000000000

00000000000 - DEMO










diagrama)


diagrama)

Ateacute aqui temos

00000000000

00000000000 - DEMO




Continuando






13)


D + F + G = 24

15 + G = 24

G = 9

D + G = 13

D + 9 = 13

D = 4

D + F = 15

4 + F = 15

F = 11

Ateacute aqui temos

00000000000

00000000000 - DEMO








RESPOSTA E










(A) 58

(B) 65

(C) 76

(D) 53

(E) 95

RESOLUCcedilAtildeO








00000000000

00000000000 - DEMO











diagrama temos

00000000000

00000000000 - DEMO






65

RESPOSTA B









(A) 36

(B) 54

(C) 58

(D) 56

(E) 48

RESOLUCcedilAtildeO

00000000000

00000000000 - DEMO
















2 x (90 + D) = 3 x (180 ndash D)

180 + 2D = 540 ndash 3D

D = 72 metros



3 metros -------------- 1 segundo


3t = 162

t = 54 segundos

RESPOSTA B



00000000000

00000000000 - DEMO






(A) 64

(B) 48

(C) 36

(D) 24

(E) 16

RESOLUCcedilAtildeO





4 x 4 x 4 = 43 = 64 dados

RESPOSTA A








00000000000

00000000000 - DEMO








RESOLUCcedilAtildeO






5

16F para a


sabemos que



3 1 5

16 10 16F F F F R

3 1 5

16 10 16F F F F R

160 30 16 50

160 160 160 160

FF F F R

64

160

FR

040F R

40F R



A esposa recebeu 5

03125 312516



00000000000

00000000000 - DEMO











Resposta C E E





igual a n









RESOLUCcedilAtildeO








00000000000

00000000000 - DEMO




220 = 22 x 5 x 11

284 = 22 x 71






amigos Item CORRETO











Resposta C C E C





retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2

RESOLUCcedilAtildeO



temos



40 = 2 x L + 2 x M

00000000000

00000000000 - DEMO




40 = 2 x (L + M)

40 2 = L + M

L + M = 20

M = 20 ndash L






Por outro lado


24 = 2 x (L + N)

24 2 = L + N

12 = L + N

00000000000

00000000000 - DEMO




N = 12 ndash L








(12 ndash L) = (13) x (20 ndash L)




163 = 2L3

16 = 2L

L = 162 = 8cm

Portanto





RESPOSTA D






A) 2

B) 4

00000000000

00000000000 - DEMO




C) 5

D) 8

E) 10

RESOLUCcedilAtildeO





simultaneamente




Probabilidade(A)



1Probabilidade(A)

5





Probabilidade(B)



1Probabilidade(B)

4








00000000000

00000000000 - DEMO





5 4


20



RESPOSTA C






A) 98

B) 112

C) 26

D) 66

E) 82

RESOLUCcedilAtildeO


Sabemos que


seguinte

5 114

8 5C C C

5 114

8 5C C C

40 25 814

40C


00000000000

00000000000 - DEMO






RESPOSTA D





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800

RESOLUCcedilAtildeO




Controle = 2P + 16




(2P+ 16) + 2P = 30

4P = 14

14 735

4 2P


RESPOSTA A

00000000000

00000000000 - DEMO







A) 6

B) 9

C) 12

D) 16

E) 25

RESOLUCcedilAtildeO




L = V ndash C






L = V ndash C

12 = V ndash 40

V = 52 reais






reais) Assim

L = V ndash C

-3 = V ndash 60

V = 57 reais



00000000000

00000000000 - DEMO








de 9

RESPOSTA B







de

A) 15 dias

B) 16 dias

C) 18 dias

D) 20 dias

E) 24 dias

RESOLUCcedilAtildeO





trabalho

15 7200 8

15 ndash 3 18000-7200 X

00000000000

00000000000 - DEMO








trabalho

15 7200 8

12 10800 X



trabalho

12 7200 8

15 10800 X


8 12 7200

15 10800

15

X

X dias

RESPOSTA A






00000000000

00000000000 - DEMO






A) 36

B) 72

C) 144

D) 216

E) 432

RESOLUCcedilAtildeO








3 a 3 C(43) = 4





classificado






00000000000

00000000000 - DEMO





fazendo 7 pontos

RESPOSTA E



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

RESOLUCcedilAtildeO




30 18 3

n 80 4







30 18 4

n 80 3


00000000000

00000000000 - DEMO




30 18 4

80 3n


30 18 4

80 3

30 80 3 18 4

30 80 3100

18 4

n

n

n


dias

RESPOSTA B





2 141

Entatildeo






RESOLUCcedilAtildeO

00000000000

00000000000 - DEMO







2520 metros



abaixo



90 90D

2 22 90D

22 90D

90 2D


90 141 1269D




RESPOSTA B



00000000000

00000000000 - DEMO









a) 10

b) 11

c) 15

d) 16

e) 24

RESOLUCcedilAtildeO














RESPOSTA B




mm do ponto A

00000000000

00000000000 - DEMO





(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

RESOLUCcedilAtildeO




AD = AB + BC + CD = 658


BD = BC + CD = 419


AC = AB + BC = 487


que

AB + BC + CD = 658

BC + CD = 419

Logo

AB + 419 = 658

AB = 239mm


AB + BC + CD = 658

AB + BC = 487

00000000000

00000000000 - DEMO




Logo

487 + CD = 658

CD = 171mm

Assim

AB + BC + CD = 658

239 + BC + 171 = 658

BC = 248mm

RESPOSTA E


Abraccedilo

Prof Arthur Lima

Periscope ARTHURRRL


00000000000 - DEMO



















a) 78

b) 76

c) 74

d) 72






00000000000

00000000000 - DEMO





em reais












a

a) 14

b) 18

c) 22

d) 28





a) 120

b) 240

c) 360

d) 480




00000000000

00000000000 - DEMO






(A) 90

(B) 84

(C) 82

(D) 80

(E) 78







a) 6

b) 7

c) 10

d) 14







(A) 3572200

(B) 820000

(C) 357720

(D) 35772

(E) 33220

00000000000

00000000000 - DEMO






a) 80

b) 100

c) 75

d) 25

e) 108








(A) 15

(B) 16

(C) 17

(D) 18

(E) 19





gramas a

(A) 338

(B) 208

(C) 200

(D) 182

(E) 220

00000000000

00000000000 - DEMO









(A) 15h 4 min

(B) 15h 15 min

(C) 15 h 24 min

(D) 15h 29 min

(E) 15 h 31 min





eacute igual a

(A) 125ordm

(B) 115ordm

(C) 110ordm

(D) 135ordm

(E) 130ordm






00000000000

00000000000 - DEMO




(A) 2

7

(B) 5

21

(C) 10

21

(D) 2

49

(E) 10

49









(A) 040

(B) 036

(C) 032

(D) 030

(E) 028









00000000000

00000000000 - DEMO




(A) 1

2

(B) 2

3

(C) 12

35

(D) 8

15

(E) 10

21











(A) R$ 7200000

(B) R$ 8250000

(C) R$ 9400000

(D) R$ 11250000

(E) R$ 12000000







00000000000

00000000000 - DEMO




(A) 3

(B) 6

(C) 4

(D) 5

(E) 7








(A) 23

(B) 78

(C) 14

(D) 38

(E) 98











(D) igual a 8

(E) maior que 13

00000000000

00000000000 - DEMO








(A) 126

(B) 135

(C) 144

(D) 162

(E) 153







(A) 5

(B) 6

(C) 4

(D) 7

(E) 3



00000000000

00000000000 - DEMO










(A) 128

(B) 130

(C) 137

(D) 140

(E) 145










(A) 33

(B) 19

(C) 24

00000000000

00000000000 - DEMO




(D) 15

(E) 23










(A) 58

(B) 65

(C) 76

(D) 53

(E) 95









(A) 36

(B) 54

(C) 58

(D) 56

(E) 48

00000000000

00000000000 - DEMO








(A) 64

(B) 48

(C) 36

(D) 24

(E) 16









00000000000

00000000000 - DEMO











igual a n













retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2






A) 2

B) 4

C) 5

D) 8

E) 10






A) 98

B) 112

C) 26

00000000000

00000000000 - DEMO




D) 66

E) 82





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800




A) 6

B) 9

C) 12

D) 16

E) 25







de

A) 15 dias

B) 16 dias

00000000000

00000000000 - DEMO




C) 18 dias

D) 20 dias

E) 24 dias








A) 36

B) 72

C) 144

D) 216

E) 432



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

00000000000

00000000000 - DEMO








2 141

Entatildeo













a) 10

b) 11

c) 15

d) 16

e) 24

00000000000

00000000000 - DEMO







mm do ponto A


(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

00000000000

00000000000 - DEMO




01 D 02 A 03 B 04 D 05 C 06 A 07 C

08 B 09 C 10 D 11 E 12 E 13 D 14 C

15 A 16 D 17 B 18 D 19 B 20 A 21 C

22 B 23 E 24 E 25 B 26 B 27 A 28 CEE

29 CCEC 30 D 31 C 32 D 33 A 34 B 35 A

36 E 37 B 38 B 39 B 40 E

00000000000

00000000000 - DEMO




300000 x 22 = Valor x 80

Valor = 82500 reais

RESPOSTA B







(A) 3

(B) 6

(C) 4

(D) 5

(E) 7

RESOLUCcedilAtildeO













menores

RESPOSTA D

00000000000

00000000000 - DEMO











(A) 23

(B) 78

(C) 14

(D) 38

(E) 98

RESOLUCcedilAtildeO



200 unidades ------------ 3E4

300 unidades ------------ N

200N = 300x3E4

2N = 3x3E4

2N = 9E4

N = 9E8





eacute




RESPOSTA B

00000000000

00000000000 - DEMO














(D) igual a 8

(E) maior que 13

RESOLUCcedilAtildeO



- 9 18 19 27 28 29 36 37 38 39




8cm3

RESPOSTA A




00000000000

00000000000 - DEMO





(A) 126

(B) 135

(C) 144

(D) 162

(E) 153

RESOLUCcedilAtildeO


medida igual a 10




102 = 62 + X2

100 = 36 + X2

64 = X2

8 = X


10

10

X

00000000000

00000000000 - DEMO







RESPOSTA C







(A) 5

(B) 6

(C) 4

(D) 7

(E) 3

RESOLUCcedilAtildeO






novamente 15




somem 15)


RESPOSTA B

00000000000

00000000000 - DEMO












(A) 128

(B) 130

(C) 137

(D) 140

(E) 145

RESOLUCcedilAtildeO





12 -------------- 87

100 ------------ V

12V = 10087

V = 100x8712

V = 725 votos

00000000000

00000000000 - DEMO







= 20


basta fazer


RESPOSTA E










(A) 33

(B) 19

(C) 24

(D) 15

(E) 23

RESOLUCcedilAtildeO



00000000000

00000000000 - DEMO










diagrama)


diagrama)

Ateacute aqui temos

00000000000

00000000000 - DEMO




Continuando






13)


D + F + G = 24

15 + G = 24

G = 9

D + G = 13

D + 9 = 13

D = 4

D + F = 15

4 + F = 15

F = 11

Ateacute aqui temos

00000000000

00000000000 - DEMO








RESPOSTA E










(A) 58

(B) 65

(C) 76

(D) 53

(E) 95

RESOLUCcedilAtildeO








00000000000

00000000000 - DEMO











diagrama temos

00000000000

00000000000 - DEMO






65

RESPOSTA B









(A) 36

(B) 54

(C) 58

(D) 56

(E) 48

RESOLUCcedilAtildeO

00000000000

00000000000 - DEMO
















2 x (90 + D) = 3 x (180 ndash D)

180 + 2D = 540 ndash 3D

D = 72 metros



3 metros -------------- 1 segundo


3t = 162

t = 54 segundos

RESPOSTA B



00000000000

00000000000 - DEMO






(A) 64

(B) 48

(C) 36

(D) 24

(E) 16

RESOLUCcedilAtildeO





4 x 4 x 4 = 43 = 64 dados

RESPOSTA A








00000000000

00000000000 - DEMO








RESOLUCcedilAtildeO






5

16F para a


sabemos que



3 1 5

16 10 16F F F F R

3 1 5

16 10 16F F F F R

160 30 16 50

160 160 160 160

FF F F R

64

160

FR

040F R

40F R



A esposa recebeu 5

03125 312516



00000000000

00000000000 - DEMO











Resposta C E E





igual a n









RESOLUCcedilAtildeO








00000000000

00000000000 - DEMO




220 = 22 x 5 x 11

284 = 22 x 71






amigos Item CORRETO











Resposta C C E C





retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2

RESOLUCcedilAtildeO



temos



40 = 2 x L + 2 x M

00000000000

00000000000 - DEMO




40 = 2 x (L + M)

40 2 = L + M

L + M = 20

M = 20 ndash L






Por outro lado


24 = 2 x (L + N)

24 2 = L + N

12 = L + N

00000000000

00000000000 - DEMO




N = 12 ndash L








(12 ndash L) = (13) x (20 ndash L)




163 = 2L3

16 = 2L

L = 162 = 8cm

Portanto





RESPOSTA D






A) 2

B) 4

00000000000

00000000000 - DEMO




C) 5

D) 8

E) 10

RESOLUCcedilAtildeO





simultaneamente




Probabilidade(A)



1Probabilidade(A)

5





Probabilidade(B)



1Probabilidade(B)

4








00000000000

00000000000 - DEMO





5 4


20



RESPOSTA C






A) 98

B) 112

C) 26

D) 66

E) 82

RESOLUCcedilAtildeO


Sabemos que


seguinte

5 114

8 5C C C

5 114

8 5C C C

40 25 814

40C


00000000000

00000000000 - DEMO






RESPOSTA D





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800

RESOLUCcedilAtildeO




Controle = 2P + 16




(2P+ 16) + 2P = 30

4P = 14

14 735

4 2P


RESPOSTA A

00000000000

00000000000 - DEMO







A) 6

B) 9

C) 12

D) 16

E) 25

RESOLUCcedilAtildeO




L = V ndash C






L = V ndash C

12 = V ndash 40

V = 52 reais






reais) Assim

L = V ndash C

-3 = V ndash 60

V = 57 reais



00000000000

00000000000 - DEMO








de 9

RESPOSTA B







de

A) 15 dias

B) 16 dias

C) 18 dias

D) 20 dias

E) 24 dias

RESOLUCcedilAtildeO





trabalho

15 7200 8

15 ndash 3 18000-7200 X

00000000000

00000000000 - DEMO








trabalho

15 7200 8

12 10800 X



trabalho

12 7200 8

15 10800 X


8 12 7200

15 10800

15

X

X dias

RESPOSTA A






00000000000

00000000000 - DEMO






A) 36

B) 72

C) 144

D) 216

E) 432

RESOLUCcedilAtildeO








3 a 3 C(43) = 4





classificado






00000000000

00000000000 - DEMO





fazendo 7 pontos

RESPOSTA E



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

RESOLUCcedilAtildeO




30 18 3

n 80 4







30 18 4

n 80 3


00000000000

00000000000 - DEMO




30 18 4

80 3n


30 18 4

80 3

30 80 3 18 4

30 80 3100

18 4

n

n

n


dias

RESPOSTA B





2 141

Entatildeo






RESOLUCcedilAtildeO

00000000000

00000000000 - DEMO







2520 metros



abaixo



90 90D

2 22 90D

22 90D

90 2D


90 141 1269D




RESPOSTA B



00000000000

00000000000 - DEMO









a) 10

b) 11

c) 15

d) 16

e) 24

RESOLUCcedilAtildeO














RESPOSTA B




mm do ponto A

00000000000

00000000000 - DEMO





(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

RESOLUCcedilAtildeO




AD = AB + BC + CD = 658


BD = BC + CD = 419


AC = AB + BC = 487


que

AB + BC + CD = 658

BC + CD = 419

Logo

AB + 419 = 658

AB = 239mm


AB + BC + CD = 658

AB + BC = 487

00000000000

00000000000 - DEMO




Logo

487 + CD = 658

CD = 171mm

Assim

AB + BC + CD = 658

239 + BC + 171 = 658

BC = 248mm

RESPOSTA E


Abraccedilo

Prof Arthur Lima

Periscope ARTHURRRL


00000000000 - DEMO



















a) 78

b) 76

c) 74

d) 72






00000000000

00000000000 - DEMO





em reais












a

a) 14

b) 18

c) 22

d) 28





a) 120

b) 240

c) 360

d) 480




00000000000

00000000000 - DEMO






(A) 90

(B) 84

(C) 82

(D) 80

(E) 78







a) 6

b) 7

c) 10

d) 14







(A) 3572200

(B) 820000

(C) 357720

(D) 35772

(E) 33220

00000000000

00000000000 - DEMO






a) 80

b) 100

c) 75

d) 25

e) 108








(A) 15

(B) 16

(C) 17

(D) 18

(E) 19





gramas a

(A) 338

(B) 208

(C) 200

(D) 182

(E) 220

00000000000

00000000000 - DEMO









(A) 15h 4 min

(B) 15h 15 min

(C) 15 h 24 min

(D) 15h 29 min

(E) 15 h 31 min





eacute igual a

(A) 125ordm

(B) 115ordm

(C) 110ordm

(D) 135ordm

(E) 130ordm






00000000000

00000000000 - DEMO




(A) 2

7

(B) 5

21

(C) 10

21

(D) 2

49

(E) 10

49









(A) 040

(B) 036

(C) 032

(D) 030

(E) 028









00000000000

00000000000 - DEMO




(A) 1

2

(B) 2

3

(C) 12

35

(D) 8

15

(E) 10

21











(A) R$ 7200000

(B) R$ 8250000

(C) R$ 9400000

(D) R$ 11250000

(E) R$ 12000000







00000000000

00000000000 - DEMO




(A) 3

(B) 6

(C) 4

(D) 5

(E) 7








(A) 23

(B) 78

(C) 14

(D) 38

(E) 98











(D) igual a 8

(E) maior que 13

00000000000

00000000000 - DEMO








(A) 126

(B) 135

(C) 144

(D) 162

(E) 153







(A) 5

(B) 6

(C) 4

(D) 7

(E) 3



00000000000

00000000000 - DEMO










(A) 128

(B) 130

(C) 137

(D) 140

(E) 145










(A) 33

(B) 19

(C) 24

00000000000

00000000000 - DEMO




(D) 15

(E) 23










(A) 58

(B) 65

(C) 76

(D) 53

(E) 95









(A) 36

(B) 54

(C) 58

(D) 56

(E) 48

00000000000

00000000000 - DEMO








(A) 64

(B) 48

(C) 36

(D) 24

(E) 16









00000000000

00000000000 - DEMO











igual a n













retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2






A) 2

B) 4

C) 5

D) 8

E) 10






A) 98

B) 112

C) 26

00000000000

00000000000 - DEMO




D) 66

E) 82





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800




A) 6

B) 9

C) 12

D) 16

E) 25







de

A) 15 dias

B) 16 dias

00000000000

00000000000 - DEMO




C) 18 dias

D) 20 dias

E) 24 dias








A) 36

B) 72

C) 144

D) 216

E) 432



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

00000000000

00000000000 - DEMO








2 141

Entatildeo













a) 10

b) 11

c) 15

d) 16

e) 24

00000000000

00000000000 - DEMO







mm do ponto A


(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

00000000000

00000000000 - DEMO




01 D 02 A 03 B 04 D 05 C 06 A 07 C

08 B 09 C 10 D 11 E 12 E 13 D 14 C

15 A 16 D 17 B 18 D 19 B 20 A 21 C

22 B 23 E 24 E 25 B 26 B 27 A 28 CEE

29 CCEC 30 D 31 C 32 D 33 A 34 B 35 A

36 E 37 B 38 B 39 B 40 E

00000000000

00000000000 - DEMO











(A) 23

(B) 78

(C) 14

(D) 38

(E) 98

RESOLUCcedilAtildeO



200 unidades ------------ 3E4

300 unidades ------------ N

200N = 300x3E4

2N = 3x3E4

2N = 9E4

N = 9E8





eacute




RESPOSTA B

00000000000

00000000000 - DEMO














(D) igual a 8

(E) maior que 13

RESOLUCcedilAtildeO



- 9 18 19 27 28 29 36 37 38 39




8cm3

RESPOSTA A




00000000000

00000000000 - DEMO





(A) 126

(B) 135

(C) 144

(D) 162

(E) 153

RESOLUCcedilAtildeO


medida igual a 10




102 = 62 + X2

100 = 36 + X2

64 = X2

8 = X


10

10

X

00000000000

00000000000 - DEMO







RESPOSTA C







(A) 5

(B) 6

(C) 4

(D) 7

(E) 3

RESOLUCcedilAtildeO






novamente 15




somem 15)


RESPOSTA B

00000000000

00000000000 - DEMO












(A) 128

(B) 130

(C) 137

(D) 140

(E) 145

RESOLUCcedilAtildeO





12 -------------- 87

100 ------------ V

12V = 10087

V = 100x8712

V = 725 votos

00000000000

00000000000 - DEMO







= 20


basta fazer


RESPOSTA E










(A) 33

(B) 19

(C) 24

(D) 15

(E) 23

RESOLUCcedilAtildeO



00000000000

00000000000 - DEMO










diagrama)


diagrama)

Ateacute aqui temos

00000000000

00000000000 - DEMO




Continuando






13)


D + F + G = 24

15 + G = 24

G = 9

D + G = 13

D + 9 = 13

D = 4

D + F = 15

4 + F = 15

F = 11

Ateacute aqui temos

00000000000

00000000000 - DEMO








RESPOSTA E










(A) 58

(B) 65

(C) 76

(D) 53

(E) 95

RESOLUCcedilAtildeO








00000000000

00000000000 - DEMO











diagrama temos

00000000000

00000000000 - DEMO






65

RESPOSTA B









(A) 36

(B) 54

(C) 58

(D) 56

(E) 48

RESOLUCcedilAtildeO

00000000000

00000000000 - DEMO
















2 x (90 + D) = 3 x (180 ndash D)

180 + 2D = 540 ndash 3D

D = 72 metros



3 metros -------------- 1 segundo


3t = 162

t = 54 segundos

RESPOSTA B



00000000000

00000000000 - DEMO






(A) 64

(B) 48

(C) 36

(D) 24

(E) 16

RESOLUCcedilAtildeO





4 x 4 x 4 = 43 = 64 dados

RESPOSTA A








00000000000

00000000000 - DEMO








RESOLUCcedilAtildeO






5

16F para a


sabemos que



3 1 5

16 10 16F F F F R

3 1 5

16 10 16F F F F R

160 30 16 50

160 160 160 160

FF F F R

64

160

FR

040F R

40F R



A esposa recebeu 5

03125 312516



00000000000

00000000000 - DEMO











Resposta C E E





igual a n









RESOLUCcedilAtildeO








00000000000

00000000000 - DEMO




220 = 22 x 5 x 11

284 = 22 x 71






amigos Item CORRETO











Resposta C C E C





retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2

RESOLUCcedilAtildeO



temos



40 = 2 x L + 2 x M

00000000000

00000000000 - DEMO




40 = 2 x (L + M)

40 2 = L + M

L + M = 20

M = 20 ndash L






Por outro lado


24 = 2 x (L + N)

24 2 = L + N

12 = L + N

00000000000

00000000000 - DEMO




N = 12 ndash L








(12 ndash L) = (13) x (20 ndash L)




163 = 2L3

16 = 2L

L = 162 = 8cm

Portanto





RESPOSTA D






A) 2

B) 4

00000000000

00000000000 - DEMO




C) 5

D) 8

E) 10

RESOLUCcedilAtildeO





simultaneamente




Probabilidade(A)



1Probabilidade(A)

5





Probabilidade(B)



1Probabilidade(B)

4








00000000000

00000000000 - DEMO





5 4


20



RESPOSTA C






A) 98

B) 112

C) 26

D) 66

E) 82

RESOLUCcedilAtildeO


Sabemos que


seguinte

5 114

8 5C C C

5 114

8 5C C C

40 25 814

40C


00000000000

00000000000 - DEMO






RESPOSTA D





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800

RESOLUCcedilAtildeO




Controle = 2P + 16




(2P+ 16) + 2P = 30

4P = 14

14 735

4 2P


RESPOSTA A

00000000000

00000000000 - DEMO







A) 6

B) 9

C) 12

D) 16

E) 25

RESOLUCcedilAtildeO




L = V ndash C






L = V ndash C

12 = V ndash 40

V = 52 reais






reais) Assim

L = V ndash C

-3 = V ndash 60

V = 57 reais



00000000000

00000000000 - DEMO








de 9

RESPOSTA B







de

A) 15 dias

B) 16 dias

C) 18 dias

D) 20 dias

E) 24 dias

RESOLUCcedilAtildeO





trabalho

15 7200 8

15 ndash 3 18000-7200 X

00000000000

00000000000 - DEMO








trabalho

15 7200 8

12 10800 X



trabalho

12 7200 8

15 10800 X


8 12 7200

15 10800

15

X

X dias

RESPOSTA A






00000000000

00000000000 - DEMO






A) 36

B) 72

C) 144

D) 216

E) 432

RESOLUCcedilAtildeO








3 a 3 C(43) = 4





classificado






00000000000

00000000000 - DEMO





fazendo 7 pontos

RESPOSTA E



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

RESOLUCcedilAtildeO




30 18 3

n 80 4







30 18 4

n 80 3


00000000000

00000000000 - DEMO




30 18 4

80 3n


30 18 4

80 3

30 80 3 18 4

30 80 3100

18 4

n

n

n


dias

RESPOSTA B





2 141

Entatildeo






RESOLUCcedilAtildeO

00000000000

00000000000 - DEMO







2520 metros



abaixo



90 90D

2 22 90D

22 90D

90 2D


90 141 1269D




RESPOSTA B



00000000000

00000000000 - DEMO









a) 10

b) 11

c) 15

d) 16

e) 24

RESOLUCcedilAtildeO














RESPOSTA B




mm do ponto A

00000000000

00000000000 - DEMO





(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

RESOLUCcedilAtildeO




AD = AB + BC + CD = 658


BD = BC + CD = 419


AC = AB + BC = 487


que

AB + BC + CD = 658

BC + CD = 419

Logo

AB + 419 = 658

AB = 239mm


AB + BC + CD = 658

AB + BC = 487

00000000000

00000000000 - DEMO




Logo

487 + CD = 658

CD = 171mm

Assim

AB + BC + CD = 658

239 + BC + 171 = 658

BC = 248mm

RESPOSTA E


Abraccedilo

Prof Arthur Lima

Periscope ARTHURRRL


00000000000 - DEMO



















a) 78

b) 76

c) 74

d) 72






00000000000

00000000000 - DEMO





em reais












a

a) 14

b) 18

c) 22

d) 28





a) 120

b) 240

c) 360

d) 480




00000000000

00000000000 - DEMO






(A) 90

(B) 84

(C) 82

(D) 80

(E) 78







a) 6

b) 7

c) 10

d) 14







(A) 3572200

(B) 820000

(C) 357720

(D) 35772

(E) 33220

00000000000

00000000000 - DEMO






a) 80

b) 100

c) 75

d) 25

e) 108








(A) 15

(B) 16

(C) 17

(D) 18

(E) 19





gramas a

(A) 338

(B) 208

(C) 200

(D) 182

(E) 220

00000000000

00000000000 - DEMO









(A) 15h 4 min

(B) 15h 15 min

(C) 15 h 24 min

(D) 15h 29 min

(E) 15 h 31 min





eacute igual a

(A) 125ordm

(B) 115ordm

(C) 110ordm

(D) 135ordm

(E) 130ordm






00000000000

00000000000 - DEMO




(A) 2

7

(B) 5

21

(C) 10

21

(D) 2

49

(E) 10

49









(A) 040

(B) 036

(C) 032

(D) 030

(E) 028









00000000000

00000000000 - DEMO




(A) 1

2

(B) 2

3

(C) 12

35

(D) 8

15

(E) 10

21











(A) R$ 7200000

(B) R$ 8250000

(C) R$ 9400000

(D) R$ 11250000

(E) R$ 12000000







00000000000

00000000000 - DEMO




(A) 3

(B) 6

(C) 4

(D) 5

(E) 7








(A) 23

(B) 78

(C) 14

(D) 38

(E) 98











(D) igual a 8

(E) maior que 13

00000000000

00000000000 - DEMO








(A) 126

(B) 135

(C) 144

(D) 162

(E) 153







(A) 5

(B) 6

(C) 4

(D) 7

(E) 3



00000000000

00000000000 - DEMO










(A) 128

(B) 130

(C) 137

(D) 140

(E) 145










(A) 33

(B) 19

(C) 24

00000000000

00000000000 - DEMO




(D) 15

(E) 23










(A) 58

(B) 65

(C) 76

(D) 53

(E) 95









(A) 36

(B) 54

(C) 58

(D) 56

(E) 48

00000000000

00000000000 - DEMO








(A) 64

(B) 48

(C) 36

(D) 24

(E) 16









00000000000

00000000000 - DEMO











igual a n













retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2






A) 2

B) 4

C) 5

D) 8

E) 10






A) 98

B) 112

C) 26

00000000000

00000000000 - DEMO




D) 66

E) 82





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800




A) 6

B) 9

C) 12

D) 16

E) 25







de

A) 15 dias

B) 16 dias

00000000000

00000000000 - DEMO




C) 18 dias

D) 20 dias

E) 24 dias








A) 36

B) 72

C) 144

D) 216

E) 432



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

00000000000

00000000000 - DEMO








2 141

Entatildeo













a) 10

b) 11

c) 15

d) 16

e) 24

00000000000

00000000000 - DEMO







mm do ponto A


(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

00000000000

00000000000 - DEMO




01 D 02 A 03 B 04 D 05 C 06 A 07 C

08 B 09 C 10 D 11 E 12 E 13 D 14 C

15 A 16 D 17 B 18 D 19 B 20 A 21 C

22 B 23 E 24 E 25 B 26 B 27 A 28 CEE

29 CCEC 30 D 31 C 32 D 33 A 34 B 35 A

36 E 37 B 38 B 39 B 40 E

00000000000

00000000000 - DEMO














(D) igual a 8

(E) maior que 13

RESOLUCcedilAtildeO



- 9 18 19 27 28 29 36 37 38 39




8cm3

RESPOSTA A




00000000000

00000000000 - DEMO





(A) 126

(B) 135

(C) 144

(D) 162

(E) 153

RESOLUCcedilAtildeO


medida igual a 10




102 = 62 + X2

100 = 36 + X2

64 = X2

8 = X


10

10

X

00000000000

00000000000 - DEMO







RESPOSTA C







(A) 5

(B) 6

(C) 4

(D) 7

(E) 3

RESOLUCcedilAtildeO






novamente 15




somem 15)


RESPOSTA B

00000000000

00000000000 - DEMO












(A) 128

(B) 130

(C) 137

(D) 140

(E) 145

RESOLUCcedilAtildeO





12 -------------- 87

100 ------------ V

12V = 10087

V = 100x8712

V = 725 votos

00000000000

00000000000 - DEMO







= 20


basta fazer


RESPOSTA E










(A) 33

(B) 19

(C) 24

(D) 15

(E) 23

RESOLUCcedilAtildeO



00000000000

00000000000 - DEMO










diagrama)


diagrama)

Ateacute aqui temos

00000000000

00000000000 - DEMO




Continuando






13)


D + F + G = 24

15 + G = 24

G = 9

D + G = 13

D + 9 = 13

D = 4

D + F = 15

4 + F = 15

F = 11

Ateacute aqui temos

00000000000

00000000000 - DEMO








RESPOSTA E










(A) 58

(B) 65

(C) 76

(D) 53

(E) 95

RESOLUCcedilAtildeO








00000000000

00000000000 - DEMO











diagrama temos

00000000000

00000000000 - DEMO






65

RESPOSTA B









(A) 36

(B) 54

(C) 58

(D) 56

(E) 48

RESOLUCcedilAtildeO

00000000000

00000000000 - DEMO
















2 x (90 + D) = 3 x (180 ndash D)

180 + 2D = 540 ndash 3D

D = 72 metros



3 metros -------------- 1 segundo


3t = 162

t = 54 segundos

RESPOSTA B



00000000000

00000000000 - DEMO






(A) 64

(B) 48

(C) 36

(D) 24

(E) 16

RESOLUCcedilAtildeO





4 x 4 x 4 = 43 = 64 dados

RESPOSTA A








00000000000

00000000000 - DEMO








RESOLUCcedilAtildeO






5

16F para a


sabemos que



3 1 5

16 10 16F F F F R

3 1 5

16 10 16F F F F R

160 30 16 50

160 160 160 160

FF F F R

64

160

FR

040F R

40F R



A esposa recebeu 5

03125 312516



00000000000

00000000000 - DEMO











Resposta C E E





igual a n









RESOLUCcedilAtildeO








00000000000

00000000000 - DEMO




220 = 22 x 5 x 11

284 = 22 x 71






amigos Item CORRETO











Resposta C C E C





retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2

RESOLUCcedilAtildeO



temos



40 = 2 x L + 2 x M

00000000000

00000000000 - DEMO




40 = 2 x (L + M)

40 2 = L + M

L + M = 20

M = 20 ndash L






Por outro lado


24 = 2 x (L + N)

24 2 = L + N

12 = L + N

00000000000

00000000000 - DEMO




N = 12 ndash L








(12 ndash L) = (13) x (20 ndash L)




163 = 2L3

16 = 2L

L = 162 = 8cm

Portanto





RESPOSTA D






A) 2

B) 4

00000000000

00000000000 - DEMO




C) 5

D) 8

E) 10

RESOLUCcedilAtildeO





simultaneamente




Probabilidade(A)



1Probabilidade(A)

5





Probabilidade(B)



1Probabilidade(B)

4








00000000000

00000000000 - DEMO





5 4


20



RESPOSTA C






A) 98

B) 112

C) 26

D) 66

E) 82

RESOLUCcedilAtildeO


Sabemos que


seguinte

5 114

8 5C C C

5 114

8 5C C C

40 25 814

40C


00000000000

00000000000 - DEMO






RESPOSTA D





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800

RESOLUCcedilAtildeO




Controle = 2P + 16




(2P+ 16) + 2P = 30

4P = 14

14 735

4 2P


RESPOSTA A

00000000000

00000000000 - DEMO







A) 6

B) 9

C) 12

D) 16

E) 25

RESOLUCcedilAtildeO




L = V ndash C






L = V ndash C

12 = V ndash 40

V = 52 reais






reais) Assim

L = V ndash C

-3 = V ndash 60

V = 57 reais



00000000000

00000000000 - DEMO








de 9

RESPOSTA B







de

A) 15 dias

B) 16 dias

C) 18 dias

D) 20 dias

E) 24 dias

RESOLUCcedilAtildeO





trabalho

15 7200 8

15 ndash 3 18000-7200 X

00000000000

00000000000 - DEMO








trabalho

15 7200 8

12 10800 X



trabalho

12 7200 8

15 10800 X


8 12 7200

15 10800

15

X

X dias

RESPOSTA A






00000000000

00000000000 - DEMO






A) 36

B) 72

C) 144

D) 216

E) 432

RESOLUCcedilAtildeO








3 a 3 C(43) = 4





classificado






00000000000

00000000000 - DEMO





fazendo 7 pontos

RESPOSTA E



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

RESOLUCcedilAtildeO




30 18 3

n 80 4







30 18 4

n 80 3


00000000000

00000000000 - DEMO




30 18 4

80 3n


30 18 4

80 3

30 80 3 18 4

30 80 3100

18 4

n

n

n


dias

RESPOSTA B





2 141

Entatildeo






RESOLUCcedilAtildeO

00000000000

00000000000 - DEMO







2520 metros



abaixo



90 90D

2 22 90D

22 90D

90 2D


90 141 1269D




RESPOSTA B



00000000000

00000000000 - DEMO









a) 10

b) 11

c) 15

d) 16

e) 24

RESOLUCcedilAtildeO














RESPOSTA B




mm do ponto A

00000000000

00000000000 - DEMO





(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

RESOLUCcedilAtildeO




AD = AB + BC + CD = 658


BD = BC + CD = 419


AC = AB + BC = 487


que

AB + BC + CD = 658

BC + CD = 419

Logo

AB + 419 = 658

AB = 239mm


AB + BC + CD = 658

AB + BC = 487

00000000000

00000000000 - DEMO




Logo

487 + CD = 658

CD = 171mm

Assim

AB + BC + CD = 658

239 + BC + 171 = 658

BC = 248mm

RESPOSTA E


Abraccedilo

Prof Arthur Lima

Periscope ARTHURRRL


00000000000 - DEMO



















a) 78

b) 76

c) 74

d) 72






00000000000

00000000000 - DEMO





em reais












a

a) 14

b) 18

c) 22

d) 28





a) 120

b) 240

c) 360

d) 480




00000000000

00000000000 - DEMO






(A) 90

(B) 84

(C) 82

(D) 80

(E) 78







a) 6

b) 7

c) 10

d) 14







(A) 3572200

(B) 820000

(C) 357720

(D) 35772

(E) 33220

00000000000

00000000000 - DEMO






a) 80

b) 100

c) 75

d) 25

e) 108








(A) 15

(B) 16

(C) 17

(D) 18

(E) 19





gramas a

(A) 338

(B) 208

(C) 200

(D) 182

(E) 220

00000000000

00000000000 - DEMO









(A) 15h 4 min

(B) 15h 15 min

(C) 15 h 24 min

(D) 15h 29 min

(E) 15 h 31 min





eacute igual a

(A) 125ordm

(B) 115ordm

(C) 110ordm

(D) 135ordm

(E) 130ordm






00000000000

00000000000 - DEMO




(A) 2

7

(B) 5

21

(C) 10

21

(D) 2

49

(E) 10

49









(A) 040

(B) 036

(C) 032

(D) 030

(E) 028









00000000000

00000000000 - DEMO




(A) 1

2

(B) 2

3

(C) 12

35

(D) 8

15

(E) 10

21











(A) R$ 7200000

(B) R$ 8250000

(C) R$ 9400000

(D) R$ 11250000

(E) R$ 12000000







00000000000

00000000000 - DEMO




(A) 3

(B) 6

(C) 4

(D) 5

(E) 7








(A) 23

(B) 78

(C) 14

(D) 38

(E) 98











(D) igual a 8

(E) maior que 13

00000000000

00000000000 - DEMO








(A) 126

(B) 135

(C) 144

(D) 162

(E) 153







(A) 5

(B) 6

(C) 4

(D) 7

(E) 3



00000000000

00000000000 - DEMO










(A) 128

(B) 130

(C) 137

(D) 140

(E) 145










(A) 33

(B) 19

(C) 24

00000000000

00000000000 - DEMO




(D) 15

(E) 23










(A) 58

(B) 65

(C) 76

(D) 53

(E) 95









(A) 36

(B) 54

(C) 58

(D) 56

(E) 48

00000000000

00000000000 - DEMO








(A) 64

(B) 48

(C) 36

(D) 24

(E) 16









00000000000

00000000000 - DEMO











igual a n













retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2






A) 2

B) 4

C) 5

D) 8

E) 10






A) 98

B) 112

C) 26

00000000000

00000000000 - DEMO




D) 66

E) 82





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800




A) 6

B) 9

C) 12

D) 16

E) 25







de

A) 15 dias

B) 16 dias

00000000000

00000000000 - DEMO




C) 18 dias

D) 20 dias

E) 24 dias








A) 36

B) 72

C) 144

D) 216

E) 432



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

00000000000

00000000000 - DEMO








2 141

Entatildeo













a) 10

b) 11

c) 15

d) 16

e) 24

00000000000

00000000000 - DEMO







mm do ponto A


(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

00000000000

00000000000 - DEMO




01 D 02 A 03 B 04 D 05 C 06 A 07 C

08 B 09 C 10 D 11 E 12 E 13 D 14 C

15 A 16 D 17 B 18 D 19 B 20 A 21 C

22 B 23 E 24 E 25 B 26 B 27 A 28 CEE

29 CCEC 30 D 31 C 32 D 33 A 34 B 35 A

36 E 37 B 38 B 39 B 40 E

00000000000

00000000000 - DEMO





(A) 126

(B) 135

(C) 144

(D) 162

(E) 153

RESOLUCcedilAtildeO


medida igual a 10




102 = 62 + X2

100 = 36 + X2

64 = X2

8 = X


10

10

X

00000000000

00000000000 - DEMO







RESPOSTA C







(A) 5

(B) 6

(C) 4

(D) 7

(E) 3

RESOLUCcedilAtildeO






novamente 15




somem 15)


RESPOSTA B

00000000000

00000000000 - DEMO












(A) 128

(B) 130

(C) 137

(D) 140

(E) 145

RESOLUCcedilAtildeO





12 -------------- 87

100 ------------ V

12V = 10087

V = 100x8712

V = 725 votos

00000000000

00000000000 - DEMO







= 20


basta fazer


RESPOSTA E










(A) 33

(B) 19

(C) 24

(D) 15

(E) 23

RESOLUCcedilAtildeO



00000000000

00000000000 - DEMO










diagrama)


diagrama)

Ateacute aqui temos

00000000000

00000000000 - DEMO




Continuando






13)


D + F + G = 24

15 + G = 24

G = 9

D + G = 13

D + 9 = 13

D = 4

D + F = 15

4 + F = 15

F = 11

Ateacute aqui temos

00000000000

00000000000 - DEMO








RESPOSTA E










(A) 58

(B) 65

(C) 76

(D) 53

(E) 95

RESOLUCcedilAtildeO








00000000000

00000000000 - DEMO











diagrama temos

00000000000

00000000000 - DEMO






65

RESPOSTA B









(A) 36

(B) 54

(C) 58

(D) 56

(E) 48

RESOLUCcedilAtildeO

00000000000

00000000000 - DEMO
















2 x (90 + D) = 3 x (180 ndash D)

180 + 2D = 540 ndash 3D

D = 72 metros



3 metros -------------- 1 segundo


3t = 162

t = 54 segundos

RESPOSTA B



00000000000

00000000000 - DEMO






(A) 64

(B) 48

(C) 36

(D) 24

(E) 16

RESOLUCcedilAtildeO





4 x 4 x 4 = 43 = 64 dados

RESPOSTA A








00000000000

00000000000 - DEMO








RESOLUCcedilAtildeO






5

16F para a


sabemos que



3 1 5

16 10 16F F F F R

3 1 5

16 10 16F F F F R

160 30 16 50

160 160 160 160

FF F F R

64

160

FR

040F R

40F R



A esposa recebeu 5

03125 312516



00000000000

00000000000 - DEMO











Resposta C E E





igual a n









RESOLUCcedilAtildeO








00000000000

00000000000 - DEMO




220 = 22 x 5 x 11

284 = 22 x 71






amigos Item CORRETO











Resposta C C E C





retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2

RESOLUCcedilAtildeO



temos



40 = 2 x L + 2 x M

00000000000

00000000000 - DEMO




40 = 2 x (L + M)

40 2 = L + M

L + M = 20

M = 20 ndash L






Por outro lado


24 = 2 x (L + N)

24 2 = L + N

12 = L + N

00000000000

00000000000 - DEMO




N = 12 ndash L








(12 ndash L) = (13) x (20 ndash L)




163 = 2L3

16 = 2L

L = 162 = 8cm

Portanto





RESPOSTA D






A) 2

B) 4

00000000000

00000000000 - DEMO




C) 5

D) 8

E) 10

RESOLUCcedilAtildeO





simultaneamente




Probabilidade(A)



1Probabilidade(A)

5





Probabilidade(B)



1Probabilidade(B)

4








00000000000

00000000000 - DEMO





5 4


20



RESPOSTA C






A) 98

B) 112

C) 26

D) 66

E) 82

RESOLUCcedilAtildeO


Sabemos que


seguinte

5 114

8 5C C C

5 114

8 5C C C

40 25 814

40C


00000000000

00000000000 - DEMO






RESPOSTA D





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800

RESOLUCcedilAtildeO




Controle = 2P + 16




(2P+ 16) + 2P = 30

4P = 14

14 735

4 2P


RESPOSTA A

00000000000

00000000000 - DEMO







A) 6

B) 9

C) 12

D) 16

E) 25

RESOLUCcedilAtildeO




L = V ndash C






L = V ndash C

12 = V ndash 40

V = 52 reais






reais) Assim

L = V ndash C

-3 = V ndash 60

V = 57 reais



00000000000

00000000000 - DEMO








de 9

RESPOSTA B







de

A) 15 dias

B) 16 dias

C) 18 dias

D) 20 dias

E) 24 dias

RESOLUCcedilAtildeO





trabalho

15 7200 8

15 ndash 3 18000-7200 X

00000000000

00000000000 - DEMO








trabalho

15 7200 8

12 10800 X



trabalho

12 7200 8

15 10800 X


8 12 7200

15 10800

15

X

X dias

RESPOSTA A






00000000000

00000000000 - DEMO






A) 36

B) 72

C) 144

D) 216

E) 432

RESOLUCcedilAtildeO








3 a 3 C(43) = 4





classificado






00000000000

00000000000 - DEMO





fazendo 7 pontos

RESPOSTA E



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

RESOLUCcedilAtildeO




30 18 3

n 80 4







30 18 4

n 80 3


00000000000

00000000000 - DEMO




30 18 4

80 3n


30 18 4

80 3

30 80 3 18 4

30 80 3100

18 4

n

n

n


dias

RESPOSTA B





2 141

Entatildeo






RESOLUCcedilAtildeO

00000000000

00000000000 - DEMO







2520 metros



abaixo



90 90D

2 22 90D

22 90D

90 2D


90 141 1269D




RESPOSTA B



00000000000

00000000000 - DEMO









a) 10

b) 11

c) 15

d) 16

e) 24

RESOLUCcedilAtildeO














RESPOSTA B




mm do ponto A

00000000000

00000000000 - DEMO





(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

RESOLUCcedilAtildeO




AD = AB + BC + CD = 658


BD = BC + CD = 419


AC = AB + BC = 487


que

AB + BC + CD = 658

BC + CD = 419

Logo

AB + 419 = 658

AB = 239mm


AB + BC + CD = 658

AB + BC = 487

00000000000

00000000000 - DEMO




Logo

487 + CD = 658

CD = 171mm

Assim

AB + BC + CD = 658

239 + BC + 171 = 658

BC = 248mm

RESPOSTA E


Abraccedilo

Prof Arthur Lima

Periscope ARTHURRRL


00000000000 - DEMO



















a) 78

b) 76

c) 74

d) 72






00000000000

00000000000 - DEMO





em reais












a

a) 14

b) 18

c) 22

d) 28





a) 120

b) 240

c) 360

d) 480




00000000000

00000000000 - DEMO






(A) 90

(B) 84

(C) 82

(D) 80

(E) 78







a) 6

b) 7

c) 10

d) 14







(A) 3572200

(B) 820000

(C) 357720

(D) 35772

(E) 33220

00000000000

00000000000 - DEMO






a) 80

b) 100

c) 75

d) 25

e) 108








(A) 15

(B) 16

(C) 17

(D) 18

(E) 19





gramas a

(A) 338

(B) 208

(C) 200

(D) 182

(E) 220

00000000000

00000000000 - DEMO









(A) 15h 4 min

(B) 15h 15 min

(C) 15 h 24 min

(D) 15h 29 min

(E) 15 h 31 min





eacute igual a

(A) 125ordm

(B) 115ordm

(C) 110ordm

(D) 135ordm

(E) 130ordm






00000000000

00000000000 - DEMO




(A) 2

7

(B) 5

21

(C) 10

21

(D) 2

49

(E) 10

49









(A) 040

(B) 036

(C) 032

(D) 030

(E) 028









00000000000

00000000000 - DEMO




(A) 1

2

(B) 2

3

(C) 12

35

(D) 8

15

(E) 10

21











(A) R$ 7200000

(B) R$ 8250000

(C) R$ 9400000

(D) R$ 11250000

(E) R$ 12000000







00000000000

00000000000 - DEMO




(A) 3

(B) 6

(C) 4

(D) 5

(E) 7








(A) 23

(B) 78

(C) 14

(D) 38

(E) 98











(D) igual a 8

(E) maior que 13

00000000000

00000000000 - DEMO








(A) 126

(B) 135

(C) 144

(D) 162

(E) 153







(A) 5

(B) 6

(C) 4

(D) 7

(E) 3



00000000000

00000000000 - DEMO










(A) 128

(B) 130

(C) 137

(D) 140

(E) 145










(A) 33

(B) 19

(C) 24

00000000000

00000000000 - DEMO




(D) 15

(E) 23










(A) 58

(B) 65

(C) 76

(D) 53

(E) 95









(A) 36

(B) 54

(C) 58

(D) 56

(E) 48

00000000000

00000000000 - DEMO








(A) 64

(B) 48

(C) 36

(D) 24

(E) 16









00000000000

00000000000 - DEMO











igual a n













retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2






A) 2

B) 4

C) 5

D) 8

E) 10






A) 98

B) 112

C) 26

00000000000

00000000000 - DEMO




D) 66

E) 82





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800




A) 6

B) 9

C) 12

D) 16

E) 25







de

A) 15 dias

B) 16 dias

00000000000

00000000000 - DEMO




C) 18 dias

D) 20 dias

E) 24 dias








A) 36

B) 72

C) 144

D) 216

E) 432



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

00000000000

00000000000 - DEMO








2 141

Entatildeo













a) 10

b) 11

c) 15

d) 16

e) 24

00000000000

00000000000 - DEMO







mm do ponto A


(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

00000000000

00000000000 - DEMO




01 D 02 A 03 B 04 D 05 C 06 A 07 C

08 B 09 C 10 D 11 E 12 E 13 D 14 C

15 A 16 D 17 B 18 D 19 B 20 A 21 C

22 B 23 E 24 E 25 B 26 B 27 A 28 CEE

29 CCEC 30 D 31 C 32 D 33 A 34 B 35 A

36 E 37 B 38 B 39 B 40 E

00000000000

00000000000 - DEMO







RESPOSTA C







(A) 5

(B) 6

(C) 4

(D) 7

(E) 3

RESOLUCcedilAtildeO






novamente 15




somem 15)


RESPOSTA B

00000000000

00000000000 - DEMO












(A) 128

(B) 130

(C) 137

(D) 140

(E) 145

RESOLUCcedilAtildeO





12 -------------- 87

100 ------------ V

12V = 10087

V = 100x8712

V = 725 votos

00000000000

00000000000 - DEMO







= 20


basta fazer


RESPOSTA E










(A) 33

(B) 19

(C) 24

(D) 15

(E) 23

RESOLUCcedilAtildeO



00000000000

00000000000 - DEMO










diagrama)


diagrama)

Ateacute aqui temos

00000000000

00000000000 - DEMO




Continuando






13)


D + F + G = 24

15 + G = 24

G = 9

D + G = 13

D + 9 = 13

D = 4

D + F = 15

4 + F = 15

F = 11

Ateacute aqui temos

00000000000

00000000000 - DEMO








RESPOSTA E










(A) 58

(B) 65

(C) 76

(D) 53

(E) 95

RESOLUCcedilAtildeO








00000000000

00000000000 - DEMO











diagrama temos

00000000000

00000000000 - DEMO






65

RESPOSTA B









(A) 36

(B) 54

(C) 58

(D) 56

(E) 48

RESOLUCcedilAtildeO

00000000000

00000000000 - DEMO
















2 x (90 + D) = 3 x (180 ndash D)

180 + 2D = 540 ndash 3D

D = 72 metros



3 metros -------------- 1 segundo


3t = 162

t = 54 segundos

RESPOSTA B



00000000000

00000000000 - DEMO






(A) 64

(B) 48

(C) 36

(D) 24

(E) 16

RESOLUCcedilAtildeO





4 x 4 x 4 = 43 = 64 dados

RESPOSTA A








00000000000

00000000000 - DEMO








RESOLUCcedilAtildeO






5

16F para a


sabemos que



3 1 5

16 10 16F F F F R

3 1 5

16 10 16F F F F R

160 30 16 50

160 160 160 160

FF F F R

64

160

FR

040F R

40F R



A esposa recebeu 5

03125 312516



00000000000

00000000000 - DEMO











Resposta C E E





igual a n









RESOLUCcedilAtildeO








00000000000

00000000000 - DEMO




220 = 22 x 5 x 11

284 = 22 x 71






amigos Item CORRETO











Resposta C C E C





retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2

RESOLUCcedilAtildeO



temos



40 = 2 x L + 2 x M

00000000000

00000000000 - DEMO




40 = 2 x (L + M)

40 2 = L + M

L + M = 20

M = 20 ndash L






Por outro lado


24 = 2 x (L + N)

24 2 = L + N

12 = L + N

00000000000

00000000000 - DEMO




N = 12 ndash L








(12 ndash L) = (13) x (20 ndash L)




163 = 2L3

16 = 2L

L = 162 = 8cm

Portanto





RESPOSTA D






A) 2

B) 4

00000000000

00000000000 - DEMO




C) 5

D) 8

E) 10

RESOLUCcedilAtildeO





simultaneamente




Probabilidade(A)



1Probabilidade(A)

5





Probabilidade(B)



1Probabilidade(B)

4








00000000000

00000000000 - DEMO





5 4


20



RESPOSTA C






A) 98

B) 112

C) 26

D) 66

E) 82

RESOLUCcedilAtildeO


Sabemos que


seguinte

5 114

8 5C C C

5 114

8 5C C C

40 25 814

40C


00000000000

00000000000 - DEMO






RESPOSTA D





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800

RESOLUCcedilAtildeO




Controle = 2P + 16




(2P+ 16) + 2P = 30

4P = 14

14 735

4 2P


RESPOSTA A

00000000000

00000000000 - DEMO







A) 6

B) 9

C) 12

D) 16

E) 25

RESOLUCcedilAtildeO




L = V ndash C






L = V ndash C

12 = V ndash 40

V = 52 reais






reais) Assim

L = V ndash C

-3 = V ndash 60

V = 57 reais



00000000000

00000000000 - DEMO








de 9

RESPOSTA B







de

A) 15 dias

B) 16 dias

C) 18 dias

D) 20 dias

E) 24 dias

RESOLUCcedilAtildeO





trabalho

15 7200 8

15 ndash 3 18000-7200 X

00000000000

00000000000 - DEMO








trabalho

15 7200 8

12 10800 X



trabalho

12 7200 8

15 10800 X


8 12 7200

15 10800

15

X

X dias

RESPOSTA A






00000000000

00000000000 - DEMO






A) 36

B) 72

C) 144

D) 216

E) 432

RESOLUCcedilAtildeO








3 a 3 C(43) = 4





classificado






00000000000

00000000000 - DEMO





fazendo 7 pontos

RESPOSTA E



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

RESOLUCcedilAtildeO




30 18 3

n 80 4







30 18 4

n 80 3


00000000000

00000000000 - DEMO




30 18 4

80 3n


30 18 4

80 3

30 80 3 18 4

30 80 3100

18 4

n

n

n


dias

RESPOSTA B





2 141

Entatildeo






RESOLUCcedilAtildeO

00000000000

00000000000 - DEMO







2520 metros



abaixo



90 90D

2 22 90D

22 90D

90 2D


90 141 1269D




RESPOSTA B



00000000000

00000000000 - DEMO









a) 10

b) 11

c) 15

d) 16

e) 24

RESOLUCcedilAtildeO














RESPOSTA B




mm do ponto A

00000000000

00000000000 - DEMO





(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

RESOLUCcedilAtildeO




AD = AB + BC + CD = 658


BD = BC + CD = 419


AC = AB + BC = 487


que

AB + BC + CD = 658

BC + CD = 419

Logo

AB + 419 = 658

AB = 239mm


AB + BC + CD = 658

AB + BC = 487

00000000000

00000000000 - DEMO




Logo

487 + CD = 658

CD = 171mm

Assim

AB + BC + CD = 658

239 + BC + 171 = 658

BC = 248mm

RESPOSTA E


Abraccedilo

Prof Arthur Lima

Periscope ARTHURRRL


00000000000 - DEMO



















a) 78

b) 76

c) 74

d) 72






00000000000

00000000000 - DEMO





em reais












a

a) 14

b) 18

c) 22

d) 28





a) 120

b) 240

c) 360

d) 480




00000000000

00000000000 - DEMO






(A) 90

(B) 84

(C) 82

(D) 80

(E) 78







a) 6

b) 7

c) 10

d) 14







(A) 3572200

(B) 820000

(C) 357720

(D) 35772

(E) 33220

00000000000

00000000000 - DEMO






a) 80

b) 100

c) 75

d) 25

e) 108








(A) 15

(B) 16

(C) 17

(D) 18

(E) 19





gramas a

(A) 338

(B) 208

(C) 200

(D) 182

(E) 220

00000000000

00000000000 - DEMO









(A) 15h 4 min

(B) 15h 15 min

(C) 15 h 24 min

(D) 15h 29 min

(E) 15 h 31 min





eacute igual a

(A) 125ordm

(B) 115ordm

(C) 110ordm

(D) 135ordm

(E) 130ordm






00000000000

00000000000 - DEMO




(A) 2

7

(B) 5

21

(C) 10

21

(D) 2

49

(E) 10

49









(A) 040

(B) 036

(C) 032

(D) 030

(E) 028









00000000000

00000000000 - DEMO




(A) 1

2

(B) 2

3

(C) 12

35

(D) 8

15

(E) 10

21











(A) R$ 7200000

(B) R$ 8250000

(C) R$ 9400000

(D) R$ 11250000

(E) R$ 12000000







00000000000

00000000000 - DEMO




(A) 3

(B) 6

(C) 4

(D) 5

(E) 7








(A) 23

(B) 78

(C) 14

(D) 38

(E) 98











(D) igual a 8

(E) maior que 13

00000000000

00000000000 - DEMO








(A) 126

(B) 135

(C) 144

(D) 162

(E) 153







(A) 5

(B) 6

(C) 4

(D) 7

(E) 3



00000000000

00000000000 - DEMO










(A) 128

(B) 130

(C) 137

(D) 140

(E) 145










(A) 33

(B) 19

(C) 24

00000000000

00000000000 - DEMO




(D) 15

(E) 23










(A) 58

(B) 65

(C) 76

(D) 53

(E) 95









(A) 36

(B) 54

(C) 58

(D) 56

(E) 48

00000000000

00000000000 - DEMO








(A) 64

(B) 48

(C) 36

(D) 24

(E) 16









00000000000

00000000000 - DEMO











igual a n













retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2






A) 2

B) 4

C) 5

D) 8

E) 10






A) 98

B) 112

C) 26

00000000000

00000000000 - DEMO




D) 66

E) 82





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800




A) 6

B) 9

C) 12

D) 16

E) 25







de

A) 15 dias

B) 16 dias

00000000000

00000000000 - DEMO




C) 18 dias

D) 20 dias

E) 24 dias








A) 36

B) 72

C) 144

D) 216

E) 432



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

00000000000

00000000000 - DEMO








2 141

Entatildeo













a) 10

b) 11

c) 15

d) 16

e) 24

00000000000

00000000000 - DEMO







mm do ponto A


(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

00000000000

00000000000 - DEMO




01 D 02 A 03 B 04 D 05 C 06 A 07 C

08 B 09 C 10 D 11 E 12 E 13 D 14 C

15 A 16 D 17 B 18 D 19 B 20 A 21 C

22 B 23 E 24 E 25 B 26 B 27 A 28 CEE

29 CCEC 30 D 31 C 32 D 33 A 34 B 35 A

36 E 37 B 38 B 39 B 40 E

00000000000

00000000000 - DEMO












(A) 128

(B) 130

(C) 137

(D) 140

(E) 145

RESOLUCcedilAtildeO





12 -------------- 87

100 ------------ V

12V = 10087

V = 100x8712

V = 725 votos

00000000000

00000000000 - DEMO







= 20


basta fazer


RESPOSTA E










(A) 33

(B) 19

(C) 24

(D) 15

(E) 23

RESOLUCcedilAtildeO



00000000000

00000000000 - DEMO










diagrama)


diagrama)

Ateacute aqui temos

00000000000

00000000000 - DEMO




Continuando






13)


D + F + G = 24

15 + G = 24

G = 9

D + G = 13

D + 9 = 13

D = 4

D + F = 15

4 + F = 15

F = 11

Ateacute aqui temos

00000000000

00000000000 - DEMO








RESPOSTA E










(A) 58

(B) 65

(C) 76

(D) 53

(E) 95

RESOLUCcedilAtildeO








00000000000

00000000000 - DEMO











diagrama temos

00000000000

00000000000 - DEMO






65

RESPOSTA B









(A) 36

(B) 54

(C) 58

(D) 56

(E) 48

RESOLUCcedilAtildeO

00000000000

00000000000 - DEMO
















2 x (90 + D) = 3 x (180 ndash D)

180 + 2D = 540 ndash 3D

D = 72 metros



3 metros -------------- 1 segundo


3t = 162

t = 54 segundos

RESPOSTA B



00000000000

00000000000 - DEMO






(A) 64

(B) 48

(C) 36

(D) 24

(E) 16

RESOLUCcedilAtildeO





4 x 4 x 4 = 43 = 64 dados

RESPOSTA A








00000000000

00000000000 - DEMO








RESOLUCcedilAtildeO






5

16F para a


sabemos que



3 1 5

16 10 16F F F F R

3 1 5

16 10 16F F F F R

160 30 16 50

160 160 160 160

FF F F R

64

160

FR

040F R

40F R



A esposa recebeu 5

03125 312516



00000000000

00000000000 - DEMO











Resposta C E E





igual a n









RESOLUCcedilAtildeO








00000000000

00000000000 - DEMO




220 = 22 x 5 x 11

284 = 22 x 71






amigos Item CORRETO











Resposta C C E C





retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2

RESOLUCcedilAtildeO



temos



40 = 2 x L + 2 x M

00000000000

00000000000 - DEMO




40 = 2 x (L + M)

40 2 = L + M

L + M = 20

M = 20 ndash L






Por outro lado


24 = 2 x (L + N)

24 2 = L + N

12 = L + N

00000000000

00000000000 - DEMO




N = 12 ndash L








(12 ndash L) = (13) x (20 ndash L)




163 = 2L3

16 = 2L

L = 162 = 8cm

Portanto





RESPOSTA D






A) 2

B) 4

00000000000

00000000000 - DEMO




C) 5

D) 8

E) 10

RESOLUCcedilAtildeO





simultaneamente




Probabilidade(A)



1Probabilidade(A)

5





Probabilidade(B)



1Probabilidade(B)

4








00000000000

00000000000 - DEMO





5 4


20



RESPOSTA C






A) 98

B) 112

C) 26

D) 66

E) 82

RESOLUCcedilAtildeO


Sabemos que


seguinte

5 114

8 5C C C

5 114

8 5C C C

40 25 814

40C


00000000000

00000000000 - DEMO






RESPOSTA D





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800

RESOLUCcedilAtildeO




Controle = 2P + 16




(2P+ 16) + 2P = 30

4P = 14

14 735

4 2P


RESPOSTA A

00000000000

00000000000 - DEMO







A) 6

B) 9

C) 12

D) 16

E) 25

RESOLUCcedilAtildeO




L = V ndash C






L = V ndash C

12 = V ndash 40

V = 52 reais






reais) Assim

L = V ndash C

-3 = V ndash 60

V = 57 reais



00000000000

00000000000 - DEMO








de 9

RESPOSTA B







de

A) 15 dias

B) 16 dias

C) 18 dias

D) 20 dias

E) 24 dias

RESOLUCcedilAtildeO





trabalho

15 7200 8

15 ndash 3 18000-7200 X

00000000000

00000000000 - DEMO








trabalho

15 7200 8

12 10800 X



trabalho

12 7200 8

15 10800 X


8 12 7200

15 10800

15

X

X dias

RESPOSTA A






00000000000

00000000000 - DEMO






A) 36

B) 72

C) 144

D) 216

E) 432

RESOLUCcedilAtildeO








3 a 3 C(43) = 4





classificado






00000000000

00000000000 - DEMO





fazendo 7 pontos

RESPOSTA E



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

RESOLUCcedilAtildeO




30 18 3

n 80 4







30 18 4

n 80 3


00000000000

00000000000 - DEMO




30 18 4

80 3n


30 18 4

80 3

30 80 3 18 4

30 80 3100

18 4

n

n

n


dias

RESPOSTA B





2 141

Entatildeo






RESOLUCcedilAtildeO

00000000000

00000000000 - DEMO







2520 metros



abaixo



90 90D

2 22 90D

22 90D

90 2D


90 141 1269D




RESPOSTA B



00000000000

00000000000 - DEMO









a) 10

b) 11

c) 15

d) 16

e) 24

RESOLUCcedilAtildeO














RESPOSTA B




mm do ponto A

00000000000

00000000000 - DEMO





(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

RESOLUCcedilAtildeO




AD = AB + BC + CD = 658


BD = BC + CD = 419


AC = AB + BC = 487


que

AB + BC + CD = 658

BC + CD = 419

Logo

AB + 419 = 658

AB = 239mm


AB + BC + CD = 658

AB + BC = 487

00000000000

00000000000 - DEMO




Logo

487 + CD = 658

CD = 171mm

Assim

AB + BC + CD = 658

239 + BC + 171 = 658

BC = 248mm

RESPOSTA E


Abraccedilo

Prof Arthur Lima

Periscope ARTHURRRL


00000000000 - DEMO



















a) 78

b) 76

c) 74

d) 72






00000000000

00000000000 - DEMO





em reais












a

a) 14

b) 18

c) 22

d) 28





a) 120

b) 240

c) 360

d) 480




00000000000

00000000000 - DEMO






(A) 90

(B) 84

(C) 82

(D) 80

(E) 78







a) 6

b) 7

c) 10

d) 14







(A) 3572200

(B) 820000

(C) 357720

(D) 35772

(E) 33220

00000000000

00000000000 - DEMO






a) 80

b) 100

c) 75

d) 25

e) 108








(A) 15

(B) 16

(C) 17

(D) 18

(E) 19





gramas a

(A) 338

(B) 208

(C) 200

(D) 182

(E) 220

00000000000

00000000000 - DEMO









(A) 15h 4 min

(B) 15h 15 min

(C) 15 h 24 min

(D) 15h 29 min

(E) 15 h 31 min





eacute igual a

(A) 125ordm

(B) 115ordm

(C) 110ordm

(D) 135ordm

(E) 130ordm






00000000000

00000000000 - DEMO




(A) 2

7

(B) 5

21

(C) 10

21

(D) 2

49

(E) 10

49









(A) 040

(B) 036

(C) 032

(D) 030

(E) 028









00000000000

00000000000 - DEMO




(A) 1

2

(B) 2

3

(C) 12

35

(D) 8

15

(E) 10

21











(A) R$ 7200000

(B) R$ 8250000

(C) R$ 9400000

(D) R$ 11250000

(E) R$ 12000000







00000000000

00000000000 - DEMO




(A) 3

(B) 6

(C) 4

(D) 5

(E) 7








(A) 23

(B) 78

(C) 14

(D) 38

(E) 98











(D) igual a 8

(E) maior que 13

00000000000

00000000000 - DEMO








(A) 126

(B) 135

(C) 144

(D) 162

(E) 153







(A) 5

(B) 6

(C) 4

(D) 7

(E) 3



00000000000

00000000000 - DEMO










(A) 128

(B) 130

(C) 137

(D) 140

(E) 145










(A) 33

(B) 19

(C) 24

00000000000

00000000000 - DEMO




(D) 15

(E) 23










(A) 58

(B) 65

(C) 76

(D) 53

(E) 95









(A) 36

(B) 54

(C) 58

(D) 56

(E) 48

00000000000

00000000000 - DEMO








(A) 64

(B) 48

(C) 36

(D) 24

(E) 16









00000000000

00000000000 - DEMO











igual a n













retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2






A) 2

B) 4

C) 5

D) 8

E) 10






A) 98

B) 112

C) 26

00000000000

00000000000 - DEMO




D) 66

E) 82





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800




A) 6

B) 9

C) 12

D) 16

E) 25







de

A) 15 dias

B) 16 dias

00000000000

00000000000 - DEMO




C) 18 dias

D) 20 dias

E) 24 dias








A) 36

B) 72

C) 144

D) 216

E) 432



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

00000000000

00000000000 - DEMO








2 141

Entatildeo













a) 10

b) 11

c) 15

d) 16

e) 24

00000000000

00000000000 - DEMO







mm do ponto A


(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

00000000000

00000000000 - DEMO




01 D 02 A 03 B 04 D 05 C 06 A 07 C

08 B 09 C 10 D 11 E 12 E 13 D 14 C

15 A 16 D 17 B 18 D 19 B 20 A 21 C

22 B 23 E 24 E 25 B 26 B 27 A 28 CEE

29 CCEC 30 D 31 C 32 D 33 A 34 B 35 A

36 E 37 B 38 B 39 B 40 E

00000000000

00000000000 - DEMO







= 20


basta fazer


RESPOSTA E










(A) 33

(B) 19

(C) 24

(D) 15

(E) 23

RESOLUCcedilAtildeO



00000000000

00000000000 - DEMO










diagrama)


diagrama)

Ateacute aqui temos

00000000000

00000000000 - DEMO




Continuando






13)


D + F + G = 24

15 + G = 24

G = 9

D + G = 13

D + 9 = 13

D = 4

D + F = 15

4 + F = 15

F = 11

Ateacute aqui temos

00000000000

00000000000 - DEMO








RESPOSTA E










(A) 58

(B) 65

(C) 76

(D) 53

(E) 95

RESOLUCcedilAtildeO








00000000000

00000000000 - DEMO











diagrama temos

00000000000

00000000000 - DEMO






65

RESPOSTA B









(A) 36

(B) 54

(C) 58

(D) 56

(E) 48

RESOLUCcedilAtildeO

00000000000

00000000000 - DEMO
















2 x (90 + D) = 3 x (180 ndash D)

180 + 2D = 540 ndash 3D

D = 72 metros



3 metros -------------- 1 segundo


3t = 162

t = 54 segundos

RESPOSTA B



00000000000

00000000000 - DEMO






(A) 64

(B) 48

(C) 36

(D) 24

(E) 16

RESOLUCcedilAtildeO





4 x 4 x 4 = 43 = 64 dados

RESPOSTA A








00000000000

00000000000 - DEMO








RESOLUCcedilAtildeO






5

16F para a


sabemos que



3 1 5

16 10 16F F F F R

3 1 5

16 10 16F F F F R

160 30 16 50

160 160 160 160

FF F F R

64

160

FR

040F R

40F R



A esposa recebeu 5

03125 312516



00000000000

00000000000 - DEMO











Resposta C E E





igual a n









RESOLUCcedilAtildeO








00000000000

00000000000 - DEMO




220 = 22 x 5 x 11

284 = 22 x 71






amigos Item CORRETO











Resposta C C E C





retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2

RESOLUCcedilAtildeO



temos



40 = 2 x L + 2 x M

00000000000

00000000000 - DEMO




40 = 2 x (L + M)

40 2 = L + M

L + M = 20

M = 20 ndash L






Por outro lado


24 = 2 x (L + N)

24 2 = L + N

12 = L + N

00000000000

00000000000 - DEMO




N = 12 ndash L








(12 ndash L) = (13) x (20 ndash L)




163 = 2L3

16 = 2L

L = 162 = 8cm

Portanto





RESPOSTA D






A) 2

B) 4

00000000000

00000000000 - DEMO




C) 5

D) 8

E) 10

RESOLUCcedilAtildeO





simultaneamente




Probabilidade(A)



1Probabilidade(A)

5





Probabilidade(B)



1Probabilidade(B)

4








00000000000

00000000000 - DEMO





5 4


20



RESPOSTA C






A) 98

B) 112

C) 26

D) 66

E) 82

RESOLUCcedilAtildeO


Sabemos que


seguinte

5 114

8 5C C C

5 114

8 5C C C

40 25 814

40C


00000000000

00000000000 - DEMO






RESPOSTA D





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800

RESOLUCcedilAtildeO




Controle = 2P + 16




(2P+ 16) + 2P = 30

4P = 14

14 735

4 2P


RESPOSTA A

00000000000

00000000000 - DEMO







A) 6

B) 9

C) 12

D) 16

E) 25

RESOLUCcedilAtildeO




L = V ndash C






L = V ndash C

12 = V ndash 40

V = 52 reais






reais) Assim

L = V ndash C

-3 = V ndash 60

V = 57 reais



00000000000

00000000000 - DEMO








de 9

RESPOSTA B







de

A) 15 dias

B) 16 dias

C) 18 dias

D) 20 dias

E) 24 dias

RESOLUCcedilAtildeO





trabalho

15 7200 8

15 ndash 3 18000-7200 X

00000000000

00000000000 - DEMO








trabalho

15 7200 8

12 10800 X



trabalho

12 7200 8

15 10800 X


8 12 7200

15 10800

15

X

X dias

RESPOSTA A






00000000000

00000000000 - DEMO






A) 36

B) 72

C) 144

D) 216

E) 432

RESOLUCcedilAtildeO








3 a 3 C(43) = 4





classificado






00000000000

00000000000 - DEMO





fazendo 7 pontos

RESPOSTA E



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

RESOLUCcedilAtildeO




30 18 3

n 80 4







30 18 4

n 80 3


00000000000

00000000000 - DEMO




30 18 4

80 3n


30 18 4

80 3

30 80 3 18 4

30 80 3100

18 4

n

n

n


dias

RESPOSTA B





2 141

Entatildeo






RESOLUCcedilAtildeO

00000000000

00000000000 - DEMO







2520 metros



abaixo



90 90D

2 22 90D

22 90D

90 2D


90 141 1269D




RESPOSTA B



00000000000

00000000000 - DEMO









a) 10

b) 11

c) 15

d) 16

e) 24

RESOLUCcedilAtildeO














RESPOSTA B




mm do ponto A

00000000000

00000000000 - DEMO





(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

RESOLUCcedilAtildeO




AD = AB + BC + CD = 658


BD = BC + CD = 419


AC = AB + BC = 487


que

AB + BC + CD = 658

BC + CD = 419

Logo

AB + 419 = 658

AB = 239mm


AB + BC + CD = 658

AB + BC = 487

00000000000

00000000000 - DEMO




Logo

487 + CD = 658

CD = 171mm

Assim

AB + BC + CD = 658

239 + BC + 171 = 658

BC = 248mm

RESPOSTA E


Abraccedilo

Prof Arthur Lima

Periscope ARTHURRRL


00000000000 - DEMO



















a) 78

b) 76

c) 74

d) 72






00000000000

00000000000 - DEMO





em reais












a

a) 14

b) 18

c) 22

d) 28





a) 120

b) 240

c) 360

d) 480




00000000000

00000000000 - DEMO






(A) 90

(B) 84

(C) 82

(D) 80

(E) 78







a) 6

b) 7

c) 10

d) 14







(A) 3572200

(B) 820000

(C) 357720

(D) 35772

(E) 33220

00000000000

00000000000 - DEMO






a) 80

b) 100

c) 75

d) 25

e) 108








(A) 15

(B) 16

(C) 17

(D) 18

(E) 19





gramas a

(A) 338

(B) 208

(C) 200

(D) 182

(E) 220

00000000000

00000000000 - DEMO









(A) 15h 4 min

(B) 15h 15 min

(C) 15 h 24 min

(D) 15h 29 min

(E) 15 h 31 min





eacute igual a

(A) 125ordm

(B) 115ordm

(C) 110ordm

(D) 135ordm

(E) 130ordm






00000000000

00000000000 - DEMO




(A) 2

7

(B) 5

21

(C) 10

21

(D) 2

49

(E) 10

49









(A) 040

(B) 036

(C) 032

(D) 030

(E) 028









00000000000

00000000000 - DEMO




(A) 1

2

(B) 2

3

(C) 12

35

(D) 8

15

(E) 10

21











(A) R$ 7200000

(B) R$ 8250000

(C) R$ 9400000

(D) R$ 11250000

(E) R$ 12000000







00000000000

00000000000 - DEMO




(A) 3

(B) 6

(C) 4

(D) 5

(E) 7








(A) 23

(B) 78

(C) 14

(D) 38

(E) 98











(D) igual a 8

(E) maior que 13

00000000000

00000000000 - DEMO








(A) 126

(B) 135

(C) 144

(D) 162

(E) 153







(A) 5

(B) 6

(C) 4

(D) 7

(E) 3



00000000000

00000000000 - DEMO










(A) 128

(B) 130

(C) 137

(D) 140

(E) 145










(A) 33

(B) 19

(C) 24

00000000000

00000000000 - DEMO




(D) 15

(E) 23










(A) 58

(B) 65

(C) 76

(D) 53

(E) 95









(A) 36

(B) 54

(C) 58

(D) 56

(E) 48

00000000000

00000000000 - DEMO








(A) 64

(B) 48

(C) 36

(D) 24

(E) 16









00000000000

00000000000 - DEMO











igual a n













retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2






A) 2

B) 4

C) 5

D) 8

E) 10






A) 98

B) 112

C) 26

00000000000

00000000000 - DEMO




D) 66

E) 82





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800




A) 6

B) 9

C) 12

D) 16

E) 25







de

A) 15 dias

B) 16 dias

00000000000

00000000000 - DEMO




C) 18 dias

D) 20 dias

E) 24 dias








A) 36

B) 72

C) 144

D) 216

E) 432



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

00000000000

00000000000 - DEMO








2 141

Entatildeo













a) 10

b) 11

c) 15

d) 16

e) 24

00000000000

00000000000 - DEMO







mm do ponto A


(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

00000000000

00000000000 - DEMO




01 D 02 A 03 B 04 D 05 C 06 A 07 C

08 B 09 C 10 D 11 E 12 E 13 D 14 C

15 A 16 D 17 B 18 D 19 B 20 A 21 C

22 B 23 E 24 E 25 B 26 B 27 A 28 CEE

29 CCEC 30 D 31 C 32 D 33 A 34 B 35 A

36 E 37 B 38 B 39 B 40 E

00000000000

00000000000 - DEMO










diagrama)


diagrama)

Ateacute aqui temos

00000000000

00000000000 - DEMO




Continuando






13)


D + F + G = 24

15 + G = 24

G = 9

D + G = 13

D + 9 = 13

D = 4

D + F = 15

4 + F = 15

F = 11

Ateacute aqui temos

00000000000

00000000000 - DEMO








RESPOSTA E










(A) 58

(B) 65

(C) 76

(D) 53

(E) 95

RESOLUCcedilAtildeO








00000000000

00000000000 - DEMO











diagrama temos

00000000000

00000000000 - DEMO






65

RESPOSTA B









(A) 36

(B) 54

(C) 58

(D) 56

(E) 48

RESOLUCcedilAtildeO

00000000000

00000000000 - DEMO
















2 x (90 + D) = 3 x (180 ndash D)

180 + 2D = 540 ndash 3D

D = 72 metros



3 metros -------------- 1 segundo


3t = 162

t = 54 segundos

RESPOSTA B



00000000000

00000000000 - DEMO






(A) 64

(B) 48

(C) 36

(D) 24

(E) 16

RESOLUCcedilAtildeO





4 x 4 x 4 = 43 = 64 dados

RESPOSTA A








00000000000

00000000000 - DEMO








RESOLUCcedilAtildeO






5

16F para a


sabemos que



3 1 5

16 10 16F F F F R

3 1 5

16 10 16F F F F R

160 30 16 50

160 160 160 160

FF F F R

64

160

FR

040F R

40F R



A esposa recebeu 5

03125 312516



00000000000

00000000000 - DEMO











Resposta C E E





igual a n









RESOLUCcedilAtildeO








00000000000

00000000000 - DEMO




220 = 22 x 5 x 11

284 = 22 x 71






amigos Item CORRETO











Resposta C C E C





retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2

RESOLUCcedilAtildeO



temos



40 = 2 x L + 2 x M

00000000000

00000000000 - DEMO




40 = 2 x (L + M)

40 2 = L + M

L + M = 20

M = 20 ndash L






Por outro lado


24 = 2 x (L + N)

24 2 = L + N

12 = L + N

00000000000

00000000000 - DEMO




N = 12 ndash L








(12 ndash L) = (13) x (20 ndash L)




163 = 2L3

16 = 2L

L = 162 = 8cm

Portanto





RESPOSTA D






A) 2

B) 4

00000000000

00000000000 - DEMO




C) 5

D) 8

E) 10

RESOLUCcedilAtildeO





simultaneamente




Probabilidade(A)



1Probabilidade(A)

5





Probabilidade(B)



1Probabilidade(B)

4








00000000000

00000000000 - DEMO





5 4


20



RESPOSTA C






A) 98

B) 112

C) 26

D) 66

E) 82

RESOLUCcedilAtildeO


Sabemos que


seguinte

5 114

8 5C C C

5 114

8 5C C C

40 25 814

40C


00000000000

00000000000 - DEMO






RESPOSTA D





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800

RESOLUCcedilAtildeO




Controle = 2P + 16




(2P+ 16) + 2P = 30

4P = 14

14 735

4 2P


RESPOSTA A

00000000000

00000000000 - DEMO







A) 6

B) 9

C) 12

D) 16

E) 25

RESOLUCcedilAtildeO




L = V ndash C






L = V ndash C

12 = V ndash 40

V = 52 reais






reais) Assim

L = V ndash C

-3 = V ndash 60

V = 57 reais



00000000000

00000000000 - DEMO








de 9

RESPOSTA B







de

A) 15 dias

B) 16 dias

C) 18 dias

D) 20 dias

E) 24 dias

RESOLUCcedilAtildeO





trabalho

15 7200 8

15 ndash 3 18000-7200 X

00000000000

00000000000 - DEMO








trabalho

15 7200 8

12 10800 X



trabalho

12 7200 8

15 10800 X


8 12 7200

15 10800

15

X

X dias

RESPOSTA A






00000000000

00000000000 - DEMO






A) 36

B) 72

C) 144

D) 216

E) 432

RESOLUCcedilAtildeO








3 a 3 C(43) = 4





classificado






00000000000

00000000000 - DEMO





fazendo 7 pontos

RESPOSTA E



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

RESOLUCcedilAtildeO




30 18 3

n 80 4







30 18 4

n 80 3


00000000000

00000000000 - DEMO




30 18 4

80 3n


30 18 4

80 3

30 80 3 18 4

30 80 3100

18 4

n

n

n


dias

RESPOSTA B





2 141

Entatildeo






RESOLUCcedilAtildeO

00000000000

00000000000 - DEMO







2520 metros



abaixo



90 90D

2 22 90D

22 90D

90 2D


90 141 1269D




RESPOSTA B



00000000000

00000000000 - DEMO









a) 10

b) 11

c) 15

d) 16

e) 24

RESOLUCcedilAtildeO














RESPOSTA B




mm do ponto A

00000000000

00000000000 - DEMO





(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

RESOLUCcedilAtildeO




AD = AB + BC + CD = 658


BD = BC + CD = 419


AC = AB + BC = 487


que

AB + BC + CD = 658

BC + CD = 419

Logo

AB + 419 = 658

AB = 239mm


AB + BC + CD = 658

AB + BC = 487

00000000000

00000000000 - DEMO




Logo

487 + CD = 658

CD = 171mm

Assim

AB + BC + CD = 658

239 + BC + 171 = 658

BC = 248mm

RESPOSTA E


Abraccedilo

Prof Arthur Lima

Periscope ARTHURRRL


00000000000 - DEMO



















a) 78

b) 76

c) 74

d) 72






00000000000

00000000000 - DEMO





em reais












a

a) 14

b) 18

c) 22

d) 28





a) 120

b) 240

c) 360

d) 480




00000000000

00000000000 - DEMO






(A) 90

(B) 84

(C) 82

(D) 80

(E) 78







a) 6

b) 7

c) 10

d) 14







(A) 3572200

(B) 820000

(C) 357720

(D) 35772

(E) 33220

00000000000

00000000000 - DEMO






a) 80

b) 100

c) 75

d) 25

e) 108








(A) 15

(B) 16

(C) 17

(D) 18

(E) 19





gramas a

(A) 338

(B) 208

(C) 200

(D) 182

(E) 220

00000000000

00000000000 - DEMO









(A) 15h 4 min

(B) 15h 15 min

(C) 15 h 24 min

(D) 15h 29 min

(E) 15 h 31 min





eacute igual a

(A) 125ordm

(B) 115ordm

(C) 110ordm

(D) 135ordm

(E) 130ordm






00000000000

00000000000 - DEMO




(A) 2

7

(B) 5

21

(C) 10

21

(D) 2

49

(E) 10

49









(A) 040

(B) 036

(C) 032

(D) 030

(E) 028









00000000000

00000000000 - DEMO




(A) 1

2

(B) 2

3

(C) 12

35

(D) 8

15

(E) 10

21











(A) R$ 7200000

(B) R$ 8250000

(C) R$ 9400000

(D) R$ 11250000

(E) R$ 12000000







00000000000

00000000000 - DEMO




(A) 3

(B) 6

(C) 4

(D) 5

(E) 7








(A) 23

(B) 78

(C) 14

(D) 38

(E) 98











(D) igual a 8

(E) maior que 13

00000000000

00000000000 - DEMO








(A) 126

(B) 135

(C) 144

(D) 162

(E) 153







(A) 5

(B) 6

(C) 4

(D) 7

(E) 3



00000000000

00000000000 - DEMO










(A) 128

(B) 130

(C) 137

(D) 140

(E) 145










(A) 33

(B) 19

(C) 24

00000000000

00000000000 - DEMO




(D) 15

(E) 23










(A) 58

(B) 65

(C) 76

(D) 53

(E) 95









(A) 36

(B) 54

(C) 58

(D) 56

(E) 48

00000000000

00000000000 - DEMO








(A) 64

(B) 48

(C) 36

(D) 24

(E) 16









00000000000

00000000000 - DEMO











igual a n













retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2






A) 2

B) 4

C) 5

D) 8

E) 10






A) 98

B) 112

C) 26

00000000000

00000000000 - DEMO




D) 66

E) 82





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800




A) 6

B) 9

C) 12

D) 16

E) 25







de

A) 15 dias

B) 16 dias

00000000000

00000000000 - DEMO




C) 18 dias

D) 20 dias

E) 24 dias








A) 36

B) 72

C) 144

D) 216

E) 432



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

00000000000

00000000000 - DEMO








2 141

Entatildeo













a) 10

b) 11

c) 15

d) 16

e) 24

00000000000

00000000000 - DEMO







mm do ponto A


(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

00000000000

00000000000 - DEMO




01 D 02 A 03 B 04 D 05 C 06 A 07 C

08 B 09 C 10 D 11 E 12 E 13 D 14 C

15 A 16 D 17 B 18 D 19 B 20 A 21 C

22 B 23 E 24 E 25 B 26 B 27 A 28 CEE

29 CCEC 30 D 31 C 32 D 33 A 34 B 35 A

36 E 37 B 38 B 39 B 40 E

00000000000

00000000000 - DEMO




Continuando






13)


D + F + G = 24

15 + G = 24

G = 9

D + G = 13

D + 9 = 13

D = 4

D + F = 15

4 + F = 15

F = 11

Ateacute aqui temos

00000000000

00000000000 - DEMO








RESPOSTA E










(A) 58

(B) 65

(C) 76

(D) 53

(E) 95

RESOLUCcedilAtildeO








00000000000

00000000000 - DEMO











diagrama temos

00000000000

00000000000 - DEMO






65

RESPOSTA B









(A) 36

(B) 54

(C) 58

(D) 56

(E) 48

RESOLUCcedilAtildeO

00000000000

00000000000 - DEMO
















2 x (90 + D) = 3 x (180 ndash D)

180 + 2D = 540 ndash 3D

D = 72 metros



3 metros -------------- 1 segundo


3t = 162

t = 54 segundos

RESPOSTA B



00000000000

00000000000 - DEMO






(A) 64

(B) 48

(C) 36

(D) 24

(E) 16

RESOLUCcedilAtildeO





4 x 4 x 4 = 43 = 64 dados

RESPOSTA A








00000000000

00000000000 - DEMO








RESOLUCcedilAtildeO






5

16F para a


sabemos que



3 1 5

16 10 16F F F F R

3 1 5

16 10 16F F F F R

160 30 16 50

160 160 160 160

FF F F R

64

160

FR

040F R

40F R



A esposa recebeu 5

03125 312516



00000000000

00000000000 - DEMO











Resposta C E E





igual a n









RESOLUCcedilAtildeO








00000000000

00000000000 - DEMO




220 = 22 x 5 x 11

284 = 22 x 71






amigos Item CORRETO











Resposta C C E C





retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2

RESOLUCcedilAtildeO



temos



40 = 2 x L + 2 x M

00000000000

00000000000 - DEMO




40 = 2 x (L + M)

40 2 = L + M

L + M = 20

M = 20 ndash L






Por outro lado


24 = 2 x (L + N)

24 2 = L + N

12 = L + N

00000000000

00000000000 - DEMO




N = 12 ndash L








(12 ndash L) = (13) x (20 ndash L)




163 = 2L3

16 = 2L

L = 162 = 8cm

Portanto





RESPOSTA D






A) 2

B) 4

00000000000

00000000000 - DEMO




C) 5

D) 8

E) 10

RESOLUCcedilAtildeO





simultaneamente




Probabilidade(A)



1Probabilidade(A)

5





Probabilidade(B)



1Probabilidade(B)

4








00000000000

00000000000 - DEMO





5 4


20



RESPOSTA C






A) 98

B) 112

C) 26

D) 66

E) 82

RESOLUCcedilAtildeO


Sabemos que


seguinte

5 114

8 5C C C

5 114

8 5C C C

40 25 814

40C


00000000000

00000000000 - DEMO






RESPOSTA D





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800

RESOLUCcedilAtildeO




Controle = 2P + 16




(2P+ 16) + 2P = 30

4P = 14

14 735

4 2P


RESPOSTA A

00000000000

00000000000 - DEMO







A) 6

B) 9

C) 12

D) 16

E) 25

RESOLUCcedilAtildeO




L = V ndash C






L = V ndash C

12 = V ndash 40

V = 52 reais






reais) Assim

L = V ndash C

-3 = V ndash 60

V = 57 reais



00000000000

00000000000 - DEMO








de 9

RESPOSTA B







de

A) 15 dias

B) 16 dias

C) 18 dias

D) 20 dias

E) 24 dias

RESOLUCcedilAtildeO





trabalho

15 7200 8

15 ndash 3 18000-7200 X

00000000000

00000000000 - DEMO








trabalho

15 7200 8

12 10800 X



trabalho

12 7200 8

15 10800 X


8 12 7200

15 10800

15

X

X dias

RESPOSTA A






00000000000

00000000000 - DEMO






A) 36

B) 72

C) 144

D) 216

E) 432

RESOLUCcedilAtildeO








3 a 3 C(43) = 4





classificado






00000000000

00000000000 - DEMO





fazendo 7 pontos

RESPOSTA E



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

RESOLUCcedilAtildeO




30 18 3

n 80 4







30 18 4

n 80 3


00000000000

00000000000 - DEMO




30 18 4

80 3n


30 18 4

80 3

30 80 3 18 4

30 80 3100

18 4

n

n

n


dias

RESPOSTA B





2 141

Entatildeo






RESOLUCcedilAtildeO

00000000000

00000000000 - DEMO







2520 metros



abaixo



90 90D

2 22 90D

22 90D

90 2D


90 141 1269D




RESPOSTA B



00000000000

00000000000 - DEMO









a) 10

b) 11

c) 15

d) 16

e) 24

RESOLUCcedilAtildeO














RESPOSTA B




mm do ponto A

00000000000

00000000000 - DEMO





(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

RESOLUCcedilAtildeO




AD = AB + BC + CD = 658


BD = BC + CD = 419


AC = AB + BC = 487


que

AB + BC + CD = 658

BC + CD = 419

Logo

AB + 419 = 658

AB = 239mm


AB + BC + CD = 658

AB + BC = 487

00000000000

00000000000 - DEMO




Logo

487 + CD = 658

CD = 171mm

Assim

AB + BC + CD = 658

239 + BC + 171 = 658

BC = 248mm

RESPOSTA E


Abraccedilo

Prof Arthur Lima

Periscope ARTHURRRL


00000000000 - DEMO



















a) 78

b) 76

c) 74

d) 72






00000000000

00000000000 - DEMO





em reais












a

a) 14

b) 18

c) 22

d) 28





a) 120

b) 240

c) 360

d) 480




00000000000

00000000000 - DEMO






(A) 90

(B) 84

(C) 82

(D) 80

(E) 78







a) 6

b) 7

c) 10

d) 14







(A) 3572200

(B) 820000

(C) 357720

(D) 35772

(E) 33220

00000000000

00000000000 - DEMO






a) 80

b) 100

c) 75

d) 25

e) 108








(A) 15

(B) 16

(C) 17

(D) 18

(E) 19





gramas a

(A) 338

(B) 208

(C) 200

(D) 182

(E) 220

00000000000

00000000000 - DEMO









(A) 15h 4 min

(B) 15h 15 min

(C) 15 h 24 min

(D) 15h 29 min

(E) 15 h 31 min





eacute igual a

(A) 125ordm

(B) 115ordm

(C) 110ordm

(D) 135ordm

(E) 130ordm






00000000000

00000000000 - DEMO




(A) 2

7

(B) 5

21

(C) 10

21

(D) 2

49

(E) 10

49









(A) 040

(B) 036

(C) 032

(D) 030

(E) 028









00000000000

00000000000 - DEMO




(A) 1

2

(B) 2

3

(C) 12

35

(D) 8

15

(E) 10

21











(A) R$ 7200000

(B) R$ 8250000

(C) R$ 9400000

(D) R$ 11250000

(E) R$ 12000000







00000000000

00000000000 - DEMO




(A) 3

(B) 6

(C) 4

(D) 5

(E) 7








(A) 23

(B) 78

(C) 14

(D) 38

(E) 98











(D) igual a 8

(E) maior que 13

00000000000

00000000000 - DEMO








(A) 126

(B) 135

(C) 144

(D) 162

(E) 153







(A) 5

(B) 6

(C) 4

(D) 7

(E) 3



00000000000

00000000000 - DEMO










(A) 128

(B) 130

(C) 137

(D) 140

(E) 145










(A) 33

(B) 19

(C) 24

00000000000

00000000000 - DEMO




(D) 15

(E) 23










(A) 58

(B) 65

(C) 76

(D) 53

(E) 95









(A) 36

(B) 54

(C) 58

(D) 56

(E) 48

00000000000

00000000000 - DEMO








(A) 64

(B) 48

(C) 36

(D) 24

(E) 16









00000000000

00000000000 - DEMO











igual a n













retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2






A) 2

B) 4

C) 5

D) 8

E) 10






A) 98

B) 112

C) 26

00000000000

00000000000 - DEMO




D) 66

E) 82





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800




A) 6

B) 9

C) 12

D) 16

E) 25







de

A) 15 dias

B) 16 dias

00000000000

00000000000 - DEMO




C) 18 dias

D) 20 dias

E) 24 dias








A) 36

B) 72

C) 144

D) 216

E) 432



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

00000000000

00000000000 - DEMO








2 141

Entatildeo













a) 10

b) 11

c) 15

d) 16

e) 24

00000000000

00000000000 - DEMO







mm do ponto A


(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

00000000000

00000000000 - DEMO




01 D 02 A 03 B 04 D 05 C 06 A 07 C

08 B 09 C 10 D 11 E 12 E 13 D 14 C

15 A 16 D 17 B 18 D 19 B 20 A 21 C

22 B 23 E 24 E 25 B 26 B 27 A 28 CEE

29 CCEC 30 D 31 C 32 D 33 A 34 B 35 A

36 E 37 B 38 B 39 B 40 E

00000000000

00000000000 - DEMO








RESPOSTA E










(A) 58

(B) 65

(C) 76

(D) 53

(E) 95

RESOLUCcedilAtildeO








00000000000

00000000000 - DEMO











diagrama temos

00000000000

00000000000 - DEMO






65

RESPOSTA B









(A) 36

(B) 54

(C) 58

(D) 56

(E) 48

RESOLUCcedilAtildeO

00000000000

00000000000 - DEMO
















2 x (90 + D) = 3 x (180 ndash D)

180 + 2D = 540 ndash 3D

D = 72 metros



3 metros -------------- 1 segundo


3t = 162

t = 54 segundos

RESPOSTA B



00000000000

00000000000 - DEMO






(A) 64

(B) 48

(C) 36

(D) 24

(E) 16

RESOLUCcedilAtildeO





4 x 4 x 4 = 43 = 64 dados

RESPOSTA A








00000000000

00000000000 - DEMO








RESOLUCcedilAtildeO






5

16F para a


sabemos que



3 1 5

16 10 16F F F F R

3 1 5

16 10 16F F F F R

160 30 16 50

160 160 160 160

FF F F R

64

160

FR

040F R

40F R



A esposa recebeu 5

03125 312516



00000000000

00000000000 - DEMO











Resposta C E E





igual a n









RESOLUCcedilAtildeO








00000000000

00000000000 - DEMO




220 = 22 x 5 x 11

284 = 22 x 71






amigos Item CORRETO











Resposta C C E C





retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2

RESOLUCcedilAtildeO



temos



40 = 2 x L + 2 x M

00000000000

00000000000 - DEMO




40 = 2 x (L + M)

40 2 = L + M

L + M = 20

M = 20 ndash L






Por outro lado


24 = 2 x (L + N)

24 2 = L + N

12 = L + N

00000000000

00000000000 - DEMO




N = 12 ndash L








(12 ndash L) = (13) x (20 ndash L)




163 = 2L3

16 = 2L

L = 162 = 8cm

Portanto





RESPOSTA D






A) 2

B) 4

00000000000

00000000000 - DEMO




C) 5

D) 8

E) 10

RESOLUCcedilAtildeO





simultaneamente




Probabilidade(A)



1Probabilidade(A)

5





Probabilidade(B)



1Probabilidade(B)

4








00000000000

00000000000 - DEMO





5 4


20



RESPOSTA C






A) 98

B) 112

C) 26

D) 66

E) 82

RESOLUCcedilAtildeO


Sabemos que


seguinte

5 114

8 5C C C

5 114

8 5C C C

40 25 814

40C


00000000000

00000000000 - DEMO






RESPOSTA D





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800

RESOLUCcedilAtildeO




Controle = 2P + 16




(2P+ 16) + 2P = 30

4P = 14

14 735

4 2P


RESPOSTA A

00000000000

00000000000 - DEMO







A) 6

B) 9

C) 12

D) 16

E) 25

RESOLUCcedilAtildeO




L = V ndash C






L = V ndash C

12 = V ndash 40

V = 52 reais






reais) Assim

L = V ndash C

-3 = V ndash 60

V = 57 reais



00000000000

00000000000 - DEMO








de 9

RESPOSTA B







de

A) 15 dias

B) 16 dias

C) 18 dias

D) 20 dias

E) 24 dias

RESOLUCcedilAtildeO





trabalho

15 7200 8

15 ndash 3 18000-7200 X

00000000000

00000000000 - DEMO








trabalho

15 7200 8

12 10800 X



trabalho

12 7200 8

15 10800 X


8 12 7200

15 10800

15

X

X dias

RESPOSTA A






00000000000

00000000000 - DEMO






A) 36

B) 72

C) 144

D) 216

E) 432

RESOLUCcedilAtildeO








3 a 3 C(43) = 4





classificado






00000000000

00000000000 - DEMO





fazendo 7 pontos

RESPOSTA E



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

RESOLUCcedilAtildeO




30 18 3

n 80 4







30 18 4

n 80 3


00000000000

00000000000 - DEMO




30 18 4

80 3n


30 18 4

80 3

30 80 3 18 4

30 80 3100

18 4

n

n

n


dias

RESPOSTA B





2 141

Entatildeo






RESOLUCcedilAtildeO

00000000000

00000000000 - DEMO







2520 metros



abaixo



90 90D

2 22 90D

22 90D

90 2D


90 141 1269D




RESPOSTA B



00000000000

00000000000 - DEMO









a) 10

b) 11

c) 15

d) 16

e) 24

RESOLUCcedilAtildeO














RESPOSTA B




mm do ponto A

00000000000

00000000000 - DEMO





(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

RESOLUCcedilAtildeO




AD = AB + BC + CD = 658


BD = BC + CD = 419


AC = AB + BC = 487


que

AB + BC + CD = 658

BC + CD = 419

Logo

AB + 419 = 658

AB = 239mm


AB + BC + CD = 658

AB + BC = 487

00000000000

00000000000 - DEMO




Logo

487 + CD = 658

CD = 171mm

Assim

AB + BC + CD = 658

239 + BC + 171 = 658

BC = 248mm

RESPOSTA E


Abraccedilo

Prof Arthur Lima

Periscope ARTHURRRL


00000000000 - DEMO



















a) 78

b) 76

c) 74

d) 72






00000000000

00000000000 - DEMO





em reais












a

a) 14

b) 18

c) 22

d) 28





a) 120

b) 240

c) 360

d) 480




00000000000

00000000000 - DEMO






(A) 90

(B) 84

(C) 82

(D) 80

(E) 78







a) 6

b) 7

c) 10

d) 14







(A) 3572200

(B) 820000

(C) 357720

(D) 35772

(E) 33220

00000000000

00000000000 - DEMO






a) 80

b) 100

c) 75

d) 25

e) 108








(A) 15

(B) 16

(C) 17

(D) 18

(E) 19





gramas a

(A) 338

(B) 208

(C) 200

(D) 182

(E) 220

00000000000

00000000000 - DEMO









(A) 15h 4 min

(B) 15h 15 min

(C) 15 h 24 min

(D) 15h 29 min

(E) 15 h 31 min





eacute igual a

(A) 125ordm

(B) 115ordm

(C) 110ordm

(D) 135ordm

(E) 130ordm






00000000000

00000000000 - DEMO




(A) 2

7

(B) 5

21

(C) 10

21

(D) 2

49

(E) 10

49









(A) 040

(B) 036

(C) 032

(D) 030

(E) 028









00000000000

00000000000 - DEMO




(A) 1

2

(B) 2

3

(C) 12

35

(D) 8

15

(E) 10

21











(A) R$ 7200000

(B) R$ 8250000

(C) R$ 9400000

(D) R$ 11250000

(E) R$ 12000000







00000000000

00000000000 - DEMO




(A) 3

(B) 6

(C) 4

(D) 5

(E) 7








(A) 23

(B) 78

(C) 14

(D) 38

(E) 98











(D) igual a 8

(E) maior que 13

00000000000

00000000000 - DEMO








(A) 126

(B) 135

(C) 144

(D) 162

(E) 153







(A) 5

(B) 6

(C) 4

(D) 7

(E) 3



00000000000

00000000000 - DEMO










(A) 128

(B) 130

(C) 137

(D) 140

(E) 145










(A) 33

(B) 19

(C) 24

00000000000

00000000000 - DEMO




(D) 15

(E) 23










(A) 58

(B) 65

(C) 76

(D) 53

(E) 95









(A) 36

(B) 54

(C) 58

(D) 56

(E) 48

00000000000

00000000000 - DEMO








(A) 64

(B) 48

(C) 36

(D) 24

(E) 16









00000000000

00000000000 - DEMO











igual a n













retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2






A) 2

B) 4

C) 5

D) 8

E) 10






A) 98

B) 112

C) 26

00000000000

00000000000 - DEMO




D) 66

E) 82





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800




A) 6

B) 9

C) 12

D) 16

E) 25







de

A) 15 dias

B) 16 dias

00000000000

00000000000 - DEMO




C) 18 dias

D) 20 dias

E) 24 dias








A) 36

B) 72

C) 144

D) 216

E) 432



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

00000000000

00000000000 - DEMO








2 141

Entatildeo













a) 10

b) 11

c) 15

d) 16

e) 24

00000000000

00000000000 - DEMO







mm do ponto A


(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

00000000000

00000000000 - DEMO




01 D 02 A 03 B 04 D 05 C 06 A 07 C

08 B 09 C 10 D 11 E 12 E 13 D 14 C

15 A 16 D 17 B 18 D 19 B 20 A 21 C

22 B 23 E 24 E 25 B 26 B 27 A 28 CEE

29 CCEC 30 D 31 C 32 D 33 A 34 B 35 A

36 E 37 B 38 B 39 B 40 E

00000000000

00000000000 - DEMO











diagrama temos

00000000000

00000000000 - DEMO






65

RESPOSTA B









(A) 36

(B) 54

(C) 58

(D) 56

(E) 48

RESOLUCcedilAtildeO

00000000000

00000000000 - DEMO
















2 x (90 + D) = 3 x (180 ndash D)

180 + 2D = 540 ndash 3D

D = 72 metros



3 metros -------------- 1 segundo


3t = 162

t = 54 segundos

RESPOSTA B



00000000000

00000000000 - DEMO






(A) 64

(B) 48

(C) 36

(D) 24

(E) 16

RESOLUCcedilAtildeO





4 x 4 x 4 = 43 = 64 dados

RESPOSTA A








00000000000

00000000000 - DEMO








RESOLUCcedilAtildeO






5

16F para a


sabemos que



3 1 5

16 10 16F F F F R

3 1 5

16 10 16F F F F R

160 30 16 50

160 160 160 160

FF F F R

64

160

FR

040F R

40F R



A esposa recebeu 5

03125 312516



00000000000

00000000000 - DEMO











Resposta C E E





igual a n









RESOLUCcedilAtildeO








00000000000

00000000000 - DEMO




220 = 22 x 5 x 11

284 = 22 x 71






amigos Item CORRETO











Resposta C C E C





retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2

RESOLUCcedilAtildeO



temos



40 = 2 x L + 2 x M

00000000000

00000000000 - DEMO




40 = 2 x (L + M)

40 2 = L + M

L + M = 20

M = 20 ndash L






Por outro lado


24 = 2 x (L + N)

24 2 = L + N

12 = L + N

00000000000

00000000000 - DEMO




N = 12 ndash L








(12 ndash L) = (13) x (20 ndash L)




163 = 2L3

16 = 2L

L = 162 = 8cm

Portanto





RESPOSTA D






A) 2

B) 4

00000000000

00000000000 - DEMO




C) 5

D) 8

E) 10

RESOLUCcedilAtildeO





simultaneamente




Probabilidade(A)



1Probabilidade(A)

5





Probabilidade(B)



1Probabilidade(B)

4








00000000000

00000000000 - DEMO





5 4


20



RESPOSTA C






A) 98

B) 112

C) 26

D) 66

E) 82

RESOLUCcedilAtildeO


Sabemos que


seguinte

5 114

8 5C C C

5 114

8 5C C C

40 25 814

40C


00000000000

00000000000 - DEMO






RESPOSTA D





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800

RESOLUCcedilAtildeO




Controle = 2P + 16




(2P+ 16) + 2P = 30

4P = 14

14 735

4 2P


RESPOSTA A

00000000000

00000000000 - DEMO







A) 6

B) 9

C) 12

D) 16

E) 25

RESOLUCcedilAtildeO




L = V ndash C






L = V ndash C

12 = V ndash 40

V = 52 reais






reais) Assim

L = V ndash C

-3 = V ndash 60

V = 57 reais



00000000000

00000000000 - DEMO








de 9

RESPOSTA B







de

A) 15 dias

B) 16 dias

C) 18 dias

D) 20 dias

E) 24 dias

RESOLUCcedilAtildeO





trabalho

15 7200 8

15 ndash 3 18000-7200 X

00000000000

00000000000 - DEMO








trabalho

15 7200 8

12 10800 X



trabalho

12 7200 8

15 10800 X


8 12 7200

15 10800

15

X

X dias

RESPOSTA A






00000000000

00000000000 - DEMO






A) 36

B) 72

C) 144

D) 216

E) 432

RESOLUCcedilAtildeO








3 a 3 C(43) = 4





classificado






00000000000

00000000000 - DEMO





fazendo 7 pontos

RESPOSTA E



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

RESOLUCcedilAtildeO




30 18 3

n 80 4







30 18 4

n 80 3


00000000000

00000000000 - DEMO




30 18 4

80 3n


30 18 4

80 3

30 80 3 18 4

30 80 3100

18 4

n

n

n


dias

RESPOSTA B





2 141

Entatildeo






RESOLUCcedilAtildeO

00000000000

00000000000 - DEMO







2520 metros



abaixo



90 90D

2 22 90D

22 90D

90 2D


90 141 1269D




RESPOSTA B



00000000000

00000000000 - DEMO









a) 10

b) 11

c) 15

d) 16

e) 24

RESOLUCcedilAtildeO














RESPOSTA B




mm do ponto A

00000000000

00000000000 - DEMO





(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

RESOLUCcedilAtildeO




AD = AB + BC + CD = 658


BD = BC + CD = 419


AC = AB + BC = 487


que

AB + BC + CD = 658

BC + CD = 419

Logo

AB + 419 = 658

AB = 239mm


AB + BC + CD = 658

AB + BC = 487

00000000000

00000000000 - DEMO




Logo

487 + CD = 658

CD = 171mm

Assim

AB + BC + CD = 658

239 + BC + 171 = 658

BC = 248mm

RESPOSTA E


Abraccedilo

Prof Arthur Lima

Periscope ARTHURRRL


00000000000 - DEMO



















a) 78

b) 76

c) 74

d) 72






00000000000

00000000000 - DEMO





em reais












a

a) 14

b) 18

c) 22

d) 28





a) 120

b) 240

c) 360

d) 480




00000000000

00000000000 - DEMO






(A) 90

(B) 84

(C) 82

(D) 80

(E) 78







a) 6

b) 7

c) 10

d) 14







(A) 3572200

(B) 820000

(C) 357720

(D) 35772

(E) 33220

00000000000

00000000000 - DEMO






a) 80

b) 100

c) 75

d) 25

e) 108








(A) 15

(B) 16

(C) 17

(D) 18

(E) 19





gramas a

(A) 338

(B) 208

(C) 200

(D) 182

(E) 220

00000000000

00000000000 - DEMO









(A) 15h 4 min

(B) 15h 15 min

(C) 15 h 24 min

(D) 15h 29 min

(E) 15 h 31 min





eacute igual a

(A) 125ordm

(B) 115ordm

(C) 110ordm

(D) 135ordm

(E) 130ordm






00000000000

00000000000 - DEMO




(A) 2

7

(B) 5

21

(C) 10

21

(D) 2

49

(E) 10

49









(A) 040

(B) 036

(C) 032

(D) 030

(E) 028









00000000000

00000000000 - DEMO




(A) 1

2

(B) 2

3

(C) 12

35

(D) 8

15

(E) 10

21











(A) R$ 7200000

(B) R$ 8250000

(C) R$ 9400000

(D) R$ 11250000

(E) R$ 12000000







00000000000

00000000000 - DEMO




(A) 3

(B) 6

(C) 4

(D) 5

(E) 7








(A) 23

(B) 78

(C) 14

(D) 38

(E) 98











(D) igual a 8

(E) maior que 13

00000000000

00000000000 - DEMO








(A) 126

(B) 135

(C) 144

(D) 162

(E) 153







(A) 5

(B) 6

(C) 4

(D) 7

(E) 3



00000000000

00000000000 - DEMO










(A) 128

(B) 130

(C) 137

(D) 140

(E) 145










(A) 33

(B) 19

(C) 24

00000000000

00000000000 - DEMO




(D) 15

(E) 23










(A) 58

(B) 65

(C) 76

(D) 53

(E) 95









(A) 36

(B) 54

(C) 58

(D) 56

(E) 48

00000000000

00000000000 - DEMO








(A) 64

(B) 48

(C) 36

(D) 24

(E) 16









00000000000

00000000000 - DEMO











igual a n













retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2






A) 2

B) 4

C) 5

D) 8

E) 10






A) 98

B) 112

C) 26

00000000000

00000000000 - DEMO




D) 66

E) 82





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800




A) 6

B) 9

C) 12

D) 16

E) 25







de

A) 15 dias

B) 16 dias

00000000000

00000000000 - DEMO




C) 18 dias

D) 20 dias

E) 24 dias








A) 36

B) 72

C) 144

D) 216

E) 432



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

00000000000

00000000000 - DEMO








2 141

Entatildeo













a) 10

b) 11

c) 15

d) 16

e) 24

00000000000

00000000000 - DEMO







mm do ponto A


(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

00000000000

00000000000 - DEMO




01 D 02 A 03 B 04 D 05 C 06 A 07 C

08 B 09 C 10 D 11 E 12 E 13 D 14 C

15 A 16 D 17 B 18 D 19 B 20 A 21 C

22 B 23 E 24 E 25 B 26 B 27 A 28 CEE

29 CCEC 30 D 31 C 32 D 33 A 34 B 35 A

36 E 37 B 38 B 39 B 40 E

00000000000

00000000000 - DEMO






65

RESPOSTA B









(A) 36

(B) 54

(C) 58

(D) 56

(E) 48

RESOLUCcedilAtildeO

00000000000

00000000000 - DEMO
















2 x (90 + D) = 3 x (180 ndash D)

180 + 2D = 540 ndash 3D

D = 72 metros



3 metros -------------- 1 segundo


3t = 162

t = 54 segundos

RESPOSTA B



00000000000

00000000000 - DEMO






(A) 64

(B) 48

(C) 36

(D) 24

(E) 16

RESOLUCcedilAtildeO





4 x 4 x 4 = 43 = 64 dados

RESPOSTA A








00000000000

00000000000 - DEMO








RESOLUCcedilAtildeO






5

16F para a


sabemos que



3 1 5

16 10 16F F F F R

3 1 5

16 10 16F F F F R

160 30 16 50

160 160 160 160

FF F F R

64

160

FR

040F R

40F R



A esposa recebeu 5

03125 312516



00000000000

00000000000 - DEMO











Resposta C E E





igual a n









RESOLUCcedilAtildeO








00000000000

00000000000 - DEMO




220 = 22 x 5 x 11

284 = 22 x 71






amigos Item CORRETO











Resposta C C E C





retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2

RESOLUCcedilAtildeO



temos



40 = 2 x L + 2 x M

00000000000

00000000000 - DEMO




40 = 2 x (L + M)

40 2 = L + M

L + M = 20

M = 20 ndash L






Por outro lado


24 = 2 x (L + N)

24 2 = L + N

12 = L + N

00000000000

00000000000 - DEMO




N = 12 ndash L








(12 ndash L) = (13) x (20 ndash L)




163 = 2L3

16 = 2L

L = 162 = 8cm

Portanto





RESPOSTA D






A) 2

B) 4

00000000000

00000000000 - DEMO




C) 5

D) 8

E) 10

RESOLUCcedilAtildeO





simultaneamente




Probabilidade(A)



1Probabilidade(A)

5





Probabilidade(B)



1Probabilidade(B)

4








00000000000

00000000000 - DEMO





5 4


20



RESPOSTA C






A) 98

B) 112

C) 26

D) 66

E) 82

RESOLUCcedilAtildeO


Sabemos que


seguinte

5 114

8 5C C C

5 114

8 5C C C

40 25 814

40C


00000000000

00000000000 - DEMO






RESPOSTA D





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800

RESOLUCcedilAtildeO




Controle = 2P + 16




(2P+ 16) + 2P = 30

4P = 14

14 735

4 2P


RESPOSTA A

00000000000

00000000000 - DEMO







A) 6

B) 9

C) 12

D) 16

E) 25

RESOLUCcedilAtildeO




L = V ndash C






L = V ndash C

12 = V ndash 40

V = 52 reais






reais) Assim

L = V ndash C

-3 = V ndash 60

V = 57 reais



00000000000

00000000000 - DEMO








de 9

RESPOSTA B







de

A) 15 dias

B) 16 dias

C) 18 dias

D) 20 dias

E) 24 dias

RESOLUCcedilAtildeO





trabalho

15 7200 8

15 ndash 3 18000-7200 X

00000000000

00000000000 - DEMO








trabalho

15 7200 8

12 10800 X



trabalho

12 7200 8

15 10800 X


8 12 7200

15 10800

15

X

X dias

RESPOSTA A






00000000000

00000000000 - DEMO






A) 36

B) 72

C) 144

D) 216

E) 432

RESOLUCcedilAtildeO








3 a 3 C(43) = 4





classificado






00000000000

00000000000 - DEMO





fazendo 7 pontos

RESPOSTA E



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

RESOLUCcedilAtildeO




30 18 3

n 80 4







30 18 4

n 80 3


00000000000

00000000000 - DEMO




30 18 4

80 3n


30 18 4

80 3

30 80 3 18 4

30 80 3100

18 4

n

n

n


dias

RESPOSTA B





2 141

Entatildeo






RESOLUCcedilAtildeO

00000000000

00000000000 - DEMO







2520 metros



abaixo



90 90D

2 22 90D

22 90D

90 2D


90 141 1269D




RESPOSTA B



00000000000

00000000000 - DEMO









a) 10

b) 11

c) 15

d) 16

e) 24

RESOLUCcedilAtildeO














RESPOSTA B




mm do ponto A

00000000000

00000000000 - DEMO





(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

RESOLUCcedilAtildeO




AD = AB + BC + CD = 658


BD = BC + CD = 419


AC = AB + BC = 487


que

AB + BC + CD = 658

BC + CD = 419

Logo

AB + 419 = 658

AB = 239mm


AB + BC + CD = 658

AB + BC = 487

00000000000

00000000000 - DEMO




Logo

487 + CD = 658

CD = 171mm

Assim

AB + BC + CD = 658

239 + BC + 171 = 658

BC = 248mm

RESPOSTA E


Abraccedilo

Prof Arthur Lima

Periscope ARTHURRRL


00000000000 - DEMO



















a) 78

b) 76

c) 74

d) 72






00000000000

00000000000 - DEMO





em reais












a

a) 14

b) 18

c) 22

d) 28





a) 120

b) 240

c) 360

d) 480




00000000000

00000000000 - DEMO






(A) 90

(B) 84

(C) 82

(D) 80

(E) 78







a) 6

b) 7

c) 10

d) 14







(A) 3572200

(B) 820000

(C) 357720

(D) 35772

(E) 33220

00000000000

00000000000 - DEMO






a) 80

b) 100

c) 75

d) 25

e) 108








(A) 15

(B) 16

(C) 17

(D) 18

(E) 19





gramas a

(A) 338

(B) 208

(C) 200

(D) 182

(E) 220

00000000000

00000000000 - DEMO









(A) 15h 4 min

(B) 15h 15 min

(C) 15 h 24 min

(D) 15h 29 min

(E) 15 h 31 min





eacute igual a

(A) 125ordm

(B) 115ordm

(C) 110ordm

(D) 135ordm

(E) 130ordm






00000000000

00000000000 - DEMO




(A) 2

7

(B) 5

21

(C) 10

21

(D) 2

49

(E) 10

49









(A) 040

(B) 036

(C) 032

(D) 030

(E) 028









00000000000

00000000000 - DEMO




(A) 1

2

(B) 2

3

(C) 12

35

(D) 8

15

(E) 10

21











(A) R$ 7200000

(B) R$ 8250000

(C) R$ 9400000

(D) R$ 11250000

(E) R$ 12000000







00000000000

00000000000 - DEMO




(A) 3

(B) 6

(C) 4

(D) 5

(E) 7








(A) 23

(B) 78

(C) 14

(D) 38

(E) 98











(D) igual a 8

(E) maior que 13

00000000000

00000000000 - DEMO








(A) 126

(B) 135

(C) 144

(D) 162

(E) 153







(A) 5

(B) 6

(C) 4

(D) 7

(E) 3



00000000000

00000000000 - DEMO










(A) 128

(B) 130

(C) 137

(D) 140

(E) 145










(A) 33

(B) 19

(C) 24

00000000000

00000000000 - DEMO




(D) 15

(E) 23










(A) 58

(B) 65

(C) 76

(D) 53

(E) 95









(A) 36

(B) 54

(C) 58

(D) 56

(E) 48

00000000000

00000000000 - DEMO








(A) 64

(B) 48

(C) 36

(D) 24

(E) 16









00000000000

00000000000 - DEMO











igual a n













retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2






A) 2

B) 4

C) 5

D) 8

E) 10






A) 98

B) 112

C) 26

00000000000

00000000000 - DEMO




D) 66

E) 82





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800




A) 6

B) 9

C) 12

D) 16

E) 25







de

A) 15 dias

B) 16 dias

00000000000

00000000000 - DEMO




C) 18 dias

D) 20 dias

E) 24 dias








A) 36

B) 72

C) 144

D) 216

E) 432



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

00000000000

00000000000 - DEMO








2 141

Entatildeo













a) 10

b) 11

c) 15

d) 16

e) 24

00000000000

00000000000 - DEMO







mm do ponto A


(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

00000000000

00000000000 - DEMO




01 D 02 A 03 B 04 D 05 C 06 A 07 C

08 B 09 C 10 D 11 E 12 E 13 D 14 C

15 A 16 D 17 B 18 D 19 B 20 A 21 C

22 B 23 E 24 E 25 B 26 B 27 A 28 CEE

29 CCEC 30 D 31 C 32 D 33 A 34 B 35 A

36 E 37 B 38 B 39 B 40 E

00000000000

00000000000 - DEMO
















2 x (90 + D) = 3 x (180 ndash D)

180 + 2D = 540 ndash 3D

D = 72 metros



3 metros -------------- 1 segundo


3t = 162

t = 54 segundos

RESPOSTA B



00000000000

00000000000 - DEMO






(A) 64

(B) 48

(C) 36

(D) 24

(E) 16

RESOLUCcedilAtildeO





4 x 4 x 4 = 43 = 64 dados

RESPOSTA A








00000000000

00000000000 - DEMO








RESOLUCcedilAtildeO






5

16F para a


sabemos que



3 1 5

16 10 16F F F F R

3 1 5

16 10 16F F F F R

160 30 16 50

160 160 160 160

FF F F R

64

160

FR

040F R

40F R



A esposa recebeu 5

03125 312516



00000000000

00000000000 - DEMO











Resposta C E E





igual a n









RESOLUCcedilAtildeO








00000000000

00000000000 - DEMO




220 = 22 x 5 x 11

284 = 22 x 71






amigos Item CORRETO











Resposta C C E C





retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2

RESOLUCcedilAtildeO



temos



40 = 2 x L + 2 x M

00000000000

00000000000 - DEMO




40 = 2 x (L + M)

40 2 = L + M

L + M = 20

M = 20 ndash L






Por outro lado


24 = 2 x (L + N)

24 2 = L + N

12 = L + N

00000000000

00000000000 - DEMO




N = 12 ndash L








(12 ndash L) = (13) x (20 ndash L)




163 = 2L3

16 = 2L

L = 162 = 8cm

Portanto





RESPOSTA D






A) 2

B) 4

00000000000

00000000000 - DEMO




C) 5

D) 8

E) 10

RESOLUCcedilAtildeO





simultaneamente




Probabilidade(A)



1Probabilidade(A)

5





Probabilidade(B)



1Probabilidade(B)

4








00000000000

00000000000 - DEMO





5 4


20



RESPOSTA C






A) 98

B) 112

C) 26

D) 66

E) 82

RESOLUCcedilAtildeO


Sabemos que


seguinte

5 114

8 5C C C

5 114

8 5C C C

40 25 814

40C


00000000000

00000000000 - DEMO






RESPOSTA D





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800

RESOLUCcedilAtildeO




Controle = 2P + 16




(2P+ 16) + 2P = 30

4P = 14

14 735

4 2P


RESPOSTA A

00000000000

00000000000 - DEMO







A) 6

B) 9

C) 12

D) 16

E) 25

RESOLUCcedilAtildeO




L = V ndash C






L = V ndash C

12 = V ndash 40

V = 52 reais






reais) Assim

L = V ndash C

-3 = V ndash 60

V = 57 reais



00000000000

00000000000 - DEMO








de 9

RESPOSTA B







de

A) 15 dias

B) 16 dias

C) 18 dias

D) 20 dias

E) 24 dias

RESOLUCcedilAtildeO





trabalho

15 7200 8

15 ndash 3 18000-7200 X

00000000000

00000000000 - DEMO








trabalho

15 7200 8

12 10800 X



trabalho

12 7200 8

15 10800 X


8 12 7200

15 10800

15

X

X dias

RESPOSTA A






00000000000

00000000000 - DEMO






A) 36

B) 72

C) 144

D) 216

E) 432

RESOLUCcedilAtildeO








3 a 3 C(43) = 4





classificado






00000000000

00000000000 - DEMO





fazendo 7 pontos

RESPOSTA E



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

RESOLUCcedilAtildeO




30 18 3

n 80 4







30 18 4

n 80 3


00000000000

00000000000 - DEMO




30 18 4

80 3n


30 18 4

80 3

30 80 3 18 4

30 80 3100

18 4

n

n

n


dias

RESPOSTA B





2 141

Entatildeo






RESOLUCcedilAtildeO

00000000000

00000000000 - DEMO







2520 metros



abaixo



90 90D

2 22 90D

22 90D

90 2D


90 141 1269D




RESPOSTA B



00000000000

00000000000 - DEMO









a) 10

b) 11

c) 15

d) 16

e) 24

RESOLUCcedilAtildeO














RESPOSTA B




mm do ponto A

00000000000

00000000000 - DEMO





(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

RESOLUCcedilAtildeO




AD = AB + BC + CD = 658


BD = BC + CD = 419


AC = AB + BC = 487


que

AB + BC + CD = 658

BC + CD = 419

Logo

AB + 419 = 658

AB = 239mm


AB + BC + CD = 658

AB + BC = 487

00000000000

00000000000 - DEMO




Logo

487 + CD = 658

CD = 171mm

Assim

AB + BC + CD = 658

239 + BC + 171 = 658

BC = 248mm

RESPOSTA E


Abraccedilo

Prof Arthur Lima

Periscope ARTHURRRL


00000000000 - DEMO



















a) 78

b) 76

c) 74

d) 72






00000000000

00000000000 - DEMO





em reais












a

a) 14

b) 18

c) 22

d) 28





a) 120

b) 240

c) 360

d) 480




00000000000

00000000000 - DEMO






(A) 90

(B) 84

(C) 82

(D) 80

(E) 78







a) 6

b) 7

c) 10

d) 14







(A) 3572200

(B) 820000

(C) 357720

(D) 35772

(E) 33220

00000000000

00000000000 - DEMO






a) 80

b) 100

c) 75

d) 25

e) 108








(A) 15

(B) 16

(C) 17

(D) 18

(E) 19





gramas a

(A) 338

(B) 208

(C) 200

(D) 182

(E) 220

00000000000

00000000000 - DEMO









(A) 15h 4 min

(B) 15h 15 min

(C) 15 h 24 min

(D) 15h 29 min

(E) 15 h 31 min





eacute igual a

(A) 125ordm

(B) 115ordm

(C) 110ordm

(D) 135ordm

(E) 130ordm






00000000000

00000000000 - DEMO




(A) 2

7

(B) 5

21

(C) 10

21

(D) 2

49

(E) 10

49









(A) 040

(B) 036

(C) 032

(D) 030

(E) 028









00000000000

00000000000 - DEMO




(A) 1

2

(B) 2

3

(C) 12

35

(D) 8

15

(E) 10

21











(A) R$ 7200000

(B) R$ 8250000

(C) R$ 9400000

(D) R$ 11250000

(E) R$ 12000000







00000000000

00000000000 - DEMO




(A) 3

(B) 6

(C) 4

(D) 5

(E) 7








(A) 23

(B) 78

(C) 14

(D) 38

(E) 98











(D) igual a 8

(E) maior que 13

00000000000

00000000000 - DEMO








(A) 126

(B) 135

(C) 144

(D) 162

(E) 153







(A) 5

(B) 6

(C) 4

(D) 7

(E) 3



00000000000

00000000000 - DEMO










(A) 128

(B) 130

(C) 137

(D) 140

(E) 145










(A) 33

(B) 19

(C) 24

00000000000

00000000000 - DEMO




(D) 15

(E) 23










(A) 58

(B) 65

(C) 76

(D) 53

(E) 95









(A) 36

(B) 54

(C) 58

(D) 56

(E) 48

00000000000

00000000000 - DEMO








(A) 64

(B) 48

(C) 36

(D) 24

(E) 16









00000000000

00000000000 - DEMO











igual a n













retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2






A) 2

B) 4

C) 5

D) 8

E) 10






A) 98

B) 112

C) 26

00000000000

00000000000 - DEMO




D) 66

E) 82





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800




A) 6

B) 9

C) 12

D) 16

E) 25







de

A) 15 dias

B) 16 dias

00000000000

00000000000 - DEMO




C) 18 dias

D) 20 dias

E) 24 dias








A) 36

B) 72

C) 144

D) 216

E) 432



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

00000000000

00000000000 - DEMO








2 141

Entatildeo













a) 10

b) 11

c) 15

d) 16

e) 24

00000000000

00000000000 - DEMO







mm do ponto A


(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

00000000000

00000000000 - DEMO




01 D 02 A 03 B 04 D 05 C 06 A 07 C

08 B 09 C 10 D 11 E 12 E 13 D 14 C

15 A 16 D 17 B 18 D 19 B 20 A 21 C

22 B 23 E 24 E 25 B 26 B 27 A 28 CEE

29 CCEC 30 D 31 C 32 D 33 A 34 B 35 A

36 E 37 B 38 B 39 B 40 E

00000000000

00000000000 - DEMO






(A) 64

(B) 48

(C) 36

(D) 24

(E) 16

RESOLUCcedilAtildeO





4 x 4 x 4 = 43 = 64 dados

RESPOSTA A








00000000000

00000000000 - DEMO








RESOLUCcedilAtildeO






5

16F para a


sabemos que



3 1 5

16 10 16F F F F R

3 1 5

16 10 16F F F F R

160 30 16 50

160 160 160 160

FF F F R

64

160

FR

040F R

40F R



A esposa recebeu 5

03125 312516



00000000000

00000000000 - DEMO











Resposta C E E





igual a n









RESOLUCcedilAtildeO








00000000000

00000000000 - DEMO




220 = 22 x 5 x 11

284 = 22 x 71






amigos Item CORRETO











Resposta C C E C





retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2

RESOLUCcedilAtildeO



temos



40 = 2 x L + 2 x M

00000000000

00000000000 - DEMO




40 = 2 x (L + M)

40 2 = L + M

L + M = 20

M = 20 ndash L






Por outro lado


24 = 2 x (L + N)

24 2 = L + N

12 = L + N

00000000000

00000000000 - DEMO




N = 12 ndash L








(12 ndash L) = (13) x (20 ndash L)




163 = 2L3

16 = 2L

L = 162 = 8cm

Portanto





RESPOSTA D






A) 2

B) 4

00000000000

00000000000 - DEMO




C) 5

D) 8

E) 10

RESOLUCcedilAtildeO





simultaneamente




Probabilidade(A)



1Probabilidade(A)

5





Probabilidade(B)



1Probabilidade(B)

4








00000000000

00000000000 - DEMO





5 4


20



RESPOSTA C






A) 98

B) 112

C) 26

D) 66

E) 82

RESOLUCcedilAtildeO


Sabemos que


seguinte

5 114

8 5C C C

5 114

8 5C C C

40 25 814

40C


00000000000

00000000000 - DEMO






RESPOSTA D





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800

RESOLUCcedilAtildeO




Controle = 2P + 16




(2P+ 16) + 2P = 30

4P = 14

14 735

4 2P


RESPOSTA A

00000000000

00000000000 - DEMO







A) 6

B) 9

C) 12

D) 16

E) 25

RESOLUCcedilAtildeO




L = V ndash C






L = V ndash C

12 = V ndash 40

V = 52 reais






reais) Assim

L = V ndash C

-3 = V ndash 60

V = 57 reais



00000000000

00000000000 - DEMO








de 9

RESPOSTA B







de

A) 15 dias

B) 16 dias

C) 18 dias

D) 20 dias

E) 24 dias

RESOLUCcedilAtildeO





trabalho

15 7200 8

15 ndash 3 18000-7200 X

00000000000

00000000000 - DEMO








trabalho

15 7200 8

12 10800 X



trabalho

12 7200 8

15 10800 X


8 12 7200

15 10800

15

X

X dias

RESPOSTA A






00000000000

00000000000 - DEMO






A) 36

B) 72

C) 144

D) 216

E) 432

RESOLUCcedilAtildeO








3 a 3 C(43) = 4





classificado






00000000000

00000000000 - DEMO





fazendo 7 pontos

RESPOSTA E



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

RESOLUCcedilAtildeO




30 18 3

n 80 4







30 18 4

n 80 3


00000000000

00000000000 - DEMO




30 18 4

80 3n


30 18 4

80 3

30 80 3 18 4

30 80 3100

18 4

n

n

n


dias

RESPOSTA B





2 141

Entatildeo






RESOLUCcedilAtildeO

00000000000

00000000000 - DEMO







2520 metros



abaixo



90 90D

2 22 90D

22 90D

90 2D


90 141 1269D




RESPOSTA B



00000000000

00000000000 - DEMO









a) 10

b) 11

c) 15

d) 16

e) 24

RESOLUCcedilAtildeO














RESPOSTA B




mm do ponto A

00000000000

00000000000 - DEMO





(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

RESOLUCcedilAtildeO




AD = AB + BC + CD = 658


BD = BC + CD = 419


AC = AB + BC = 487


que

AB + BC + CD = 658

BC + CD = 419

Logo

AB + 419 = 658

AB = 239mm


AB + BC + CD = 658

AB + BC = 487

00000000000

00000000000 - DEMO




Logo

487 + CD = 658

CD = 171mm

Assim

AB + BC + CD = 658

239 + BC + 171 = 658

BC = 248mm

RESPOSTA E


Abraccedilo

Prof Arthur Lima

Periscope ARTHURRRL


00000000000 - DEMO



















a) 78

b) 76

c) 74

d) 72






00000000000

00000000000 - DEMO





em reais












a

a) 14

b) 18

c) 22

d) 28





a) 120

b) 240

c) 360

d) 480




00000000000

00000000000 - DEMO






(A) 90

(B) 84

(C) 82

(D) 80

(E) 78







a) 6

b) 7

c) 10

d) 14







(A) 3572200

(B) 820000

(C) 357720

(D) 35772

(E) 33220

00000000000

00000000000 - DEMO






a) 80

b) 100

c) 75

d) 25

e) 108








(A) 15

(B) 16

(C) 17

(D) 18

(E) 19





gramas a

(A) 338

(B) 208

(C) 200

(D) 182

(E) 220

00000000000

00000000000 - DEMO









(A) 15h 4 min

(B) 15h 15 min

(C) 15 h 24 min

(D) 15h 29 min

(E) 15 h 31 min





eacute igual a

(A) 125ordm

(B) 115ordm

(C) 110ordm

(D) 135ordm

(E) 130ordm






00000000000

00000000000 - DEMO




(A) 2

7

(B) 5

21

(C) 10

21

(D) 2

49

(E) 10

49









(A) 040

(B) 036

(C) 032

(D) 030

(E) 028









00000000000

00000000000 - DEMO




(A) 1

2

(B) 2

3

(C) 12

35

(D) 8

15

(E) 10

21











(A) R$ 7200000

(B) R$ 8250000

(C) R$ 9400000

(D) R$ 11250000

(E) R$ 12000000







00000000000

00000000000 - DEMO




(A) 3

(B) 6

(C) 4

(D) 5

(E) 7








(A) 23

(B) 78

(C) 14

(D) 38

(E) 98











(D) igual a 8

(E) maior que 13

00000000000

00000000000 - DEMO








(A) 126

(B) 135

(C) 144

(D) 162

(E) 153







(A) 5

(B) 6

(C) 4

(D) 7

(E) 3



00000000000

00000000000 - DEMO










(A) 128

(B) 130

(C) 137

(D) 140

(E) 145










(A) 33

(B) 19

(C) 24

00000000000

00000000000 - DEMO




(D) 15

(E) 23










(A) 58

(B) 65

(C) 76

(D) 53

(E) 95









(A) 36

(B) 54

(C) 58

(D) 56

(E) 48

00000000000

00000000000 - DEMO








(A) 64

(B) 48

(C) 36

(D) 24

(E) 16









00000000000

00000000000 - DEMO











igual a n













retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2






A) 2

B) 4

C) 5

D) 8

E) 10






A) 98

B) 112

C) 26

00000000000

00000000000 - DEMO




D) 66

E) 82





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800




A) 6

B) 9

C) 12

D) 16

E) 25







de

A) 15 dias

B) 16 dias

00000000000

00000000000 - DEMO




C) 18 dias

D) 20 dias

E) 24 dias








A) 36

B) 72

C) 144

D) 216

E) 432



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

00000000000

00000000000 - DEMO








2 141

Entatildeo













a) 10

b) 11

c) 15

d) 16

e) 24

00000000000

00000000000 - DEMO







mm do ponto A


(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

00000000000

00000000000 - DEMO




01 D 02 A 03 B 04 D 05 C 06 A 07 C

08 B 09 C 10 D 11 E 12 E 13 D 14 C

15 A 16 D 17 B 18 D 19 B 20 A 21 C

22 B 23 E 24 E 25 B 26 B 27 A 28 CEE

29 CCEC 30 D 31 C 32 D 33 A 34 B 35 A

36 E 37 B 38 B 39 B 40 E

00000000000

00000000000 - DEMO








RESOLUCcedilAtildeO






5

16F para a


sabemos que



3 1 5

16 10 16F F F F R

3 1 5

16 10 16F F F F R

160 30 16 50

160 160 160 160

FF F F R

64

160

FR

040F R

40F R



A esposa recebeu 5

03125 312516



00000000000

00000000000 - DEMO











Resposta C E E





igual a n









RESOLUCcedilAtildeO








00000000000

00000000000 - DEMO




220 = 22 x 5 x 11

284 = 22 x 71






amigos Item CORRETO











Resposta C C E C





retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2

RESOLUCcedilAtildeO



temos



40 = 2 x L + 2 x M

00000000000

00000000000 - DEMO




40 = 2 x (L + M)

40 2 = L + M

L + M = 20

M = 20 ndash L






Por outro lado


24 = 2 x (L + N)

24 2 = L + N

12 = L + N

00000000000

00000000000 - DEMO




N = 12 ndash L








(12 ndash L) = (13) x (20 ndash L)




163 = 2L3

16 = 2L

L = 162 = 8cm

Portanto





RESPOSTA D






A) 2

B) 4

00000000000

00000000000 - DEMO




C) 5

D) 8

E) 10

RESOLUCcedilAtildeO





simultaneamente




Probabilidade(A)



1Probabilidade(A)

5





Probabilidade(B)



1Probabilidade(B)

4








00000000000

00000000000 - DEMO





5 4


20



RESPOSTA C






A) 98

B) 112

C) 26

D) 66

E) 82

RESOLUCcedilAtildeO


Sabemos que


seguinte

5 114

8 5C C C

5 114

8 5C C C

40 25 814

40C


00000000000

00000000000 - DEMO






RESPOSTA D





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800

RESOLUCcedilAtildeO




Controle = 2P + 16




(2P+ 16) + 2P = 30

4P = 14

14 735

4 2P


RESPOSTA A

00000000000

00000000000 - DEMO







A) 6

B) 9

C) 12

D) 16

E) 25

RESOLUCcedilAtildeO




L = V ndash C






L = V ndash C

12 = V ndash 40

V = 52 reais






reais) Assim

L = V ndash C

-3 = V ndash 60

V = 57 reais



00000000000

00000000000 - DEMO








de 9

RESPOSTA B







de

A) 15 dias

B) 16 dias

C) 18 dias

D) 20 dias

E) 24 dias

RESOLUCcedilAtildeO





trabalho

15 7200 8

15 ndash 3 18000-7200 X

00000000000

00000000000 - DEMO








trabalho

15 7200 8

12 10800 X



trabalho

12 7200 8

15 10800 X


8 12 7200

15 10800

15

X

X dias

RESPOSTA A






00000000000

00000000000 - DEMO






A) 36

B) 72

C) 144

D) 216

E) 432

RESOLUCcedilAtildeO








3 a 3 C(43) = 4





classificado






00000000000

00000000000 - DEMO





fazendo 7 pontos

RESPOSTA E



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

RESOLUCcedilAtildeO




30 18 3

n 80 4







30 18 4

n 80 3


00000000000

00000000000 - DEMO




30 18 4

80 3n


30 18 4

80 3

30 80 3 18 4

30 80 3100

18 4

n

n

n


dias

RESPOSTA B





2 141

Entatildeo






RESOLUCcedilAtildeO

00000000000

00000000000 - DEMO







2520 metros



abaixo



90 90D

2 22 90D

22 90D

90 2D


90 141 1269D




RESPOSTA B



00000000000

00000000000 - DEMO









a) 10

b) 11

c) 15

d) 16

e) 24

RESOLUCcedilAtildeO














RESPOSTA B




mm do ponto A

00000000000

00000000000 - DEMO





(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

RESOLUCcedilAtildeO




AD = AB + BC + CD = 658


BD = BC + CD = 419


AC = AB + BC = 487


que

AB + BC + CD = 658

BC + CD = 419

Logo

AB + 419 = 658

AB = 239mm


AB + BC + CD = 658

AB + BC = 487

00000000000

00000000000 - DEMO




Logo

487 + CD = 658

CD = 171mm

Assim

AB + BC + CD = 658

239 + BC + 171 = 658

BC = 248mm

RESPOSTA E


Abraccedilo

Prof Arthur Lima

Periscope ARTHURRRL


00000000000 - DEMO



















a) 78

b) 76

c) 74

d) 72






00000000000

00000000000 - DEMO





em reais












a

a) 14

b) 18

c) 22

d) 28





a) 120

b) 240

c) 360

d) 480




00000000000

00000000000 - DEMO






(A) 90

(B) 84

(C) 82

(D) 80

(E) 78







a) 6

b) 7

c) 10

d) 14







(A) 3572200

(B) 820000

(C) 357720

(D) 35772

(E) 33220

00000000000

00000000000 - DEMO






a) 80

b) 100

c) 75

d) 25

e) 108








(A) 15

(B) 16

(C) 17

(D) 18

(E) 19





gramas a

(A) 338

(B) 208

(C) 200

(D) 182

(E) 220

00000000000

00000000000 - DEMO









(A) 15h 4 min

(B) 15h 15 min

(C) 15 h 24 min

(D) 15h 29 min

(E) 15 h 31 min





eacute igual a

(A) 125ordm

(B) 115ordm

(C) 110ordm

(D) 135ordm

(E) 130ordm






00000000000

00000000000 - DEMO




(A) 2

7

(B) 5

21

(C) 10

21

(D) 2

49

(E) 10

49









(A) 040

(B) 036

(C) 032

(D) 030

(E) 028









00000000000

00000000000 - DEMO




(A) 1

2

(B) 2

3

(C) 12

35

(D) 8

15

(E) 10

21











(A) R$ 7200000

(B) R$ 8250000

(C) R$ 9400000

(D) R$ 11250000

(E) R$ 12000000







00000000000

00000000000 - DEMO




(A) 3

(B) 6

(C) 4

(D) 5

(E) 7








(A) 23

(B) 78

(C) 14

(D) 38

(E) 98











(D) igual a 8

(E) maior que 13

00000000000

00000000000 - DEMO








(A) 126

(B) 135

(C) 144

(D) 162

(E) 153







(A) 5

(B) 6

(C) 4

(D) 7

(E) 3



00000000000

00000000000 - DEMO










(A) 128

(B) 130

(C) 137

(D) 140

(E) 145










(A) 33

(B) 19

(C) 24

00000000000

00000000000 - DEMO




(D) 15

(E) 23










(A) 58

(B) 65

(C) 76

(D) 53

(E) 95









(A) 36

(B) 54

(C) 58

(D) 56

(E) 48

00000000000

00000000000 - DEMO








(A) 64

(B) 48

(C) 36

(D) 24

(E) 16









00000000000

00000000000 - DEMO











igual a n













retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2






A) 2

B) 4

C) 5

D) 8

E) 10






A) 98

B) 112

C) 26

00000000000

00000000000 - DEMO




D) 66

E) 82





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800




A) 6

B) 9

C) 12

D) 16

E) 25







de

A) 15 dias

B) 16 dias

00000000000

00000000000 - DEMO




C) 18 dias

D) 20 dias

E) 24 dias








A) 36

B) 72

C) 144

D) 216

E) 432



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

00000000000

00000000000 - DEMO








2 141

Entatildeo













a) 10

b) 11

c) 15

d) 16

e) 24

00000000000

00000000000 - DEMO







mm do ponto A


(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

00000000000

00000000000 - DEMO




01 D 02 A 03 B 04 D 05 C 06 A 07 C

08 B 09 C 10 D 11 E 12 E 13 D 14 C

15 A 16 D 17 B 18 D 19 B 20 A 21 C

22 B 23 E 24 E 25 B 26 B 27 A 28 CEE

29 CCEC 30 D 31 C 32 D 33 A 34 B 35 A

36 E 37 B 38 B 39 B 40 E

00000000000

00000000000 - DEMO











Resposta C E E





igual a n









RESOLUCcedilAtildeO








00000000000

00000000000 - DEMO




220 = 22 x 5 x 11

284 = 22 x 71






amigos Item CORRETO











Resposta C C E C





retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2

RESOLUCcedilAtildeO



temos



40 = 2 x L + 2 x M

00000000000

00000000000 - DEMO




40 = 2 x (L + M)

40 2 = L + M

L + M = 20

M = 20 ndash L






Por outro lado


24 = 2 x (L + N)

24 2 = L + N

12 = L + N

00000000000

00000000000 - DEMO




N = 12 ndash L








(12 ndash L) = (13) x (20 ndash L)




163 = 2L3

16 = 2L

L = 162 = 8cm

Portanto





RESPOSTA D






A) 2

B) 4

00000000000

00000000000 - DEMO




C) 5

D) 8

E) 10

RESOLUCcedilAtildeO





simultaneamente




Probabilidade(A)



1Probabilidade(A)

5





Probabilidade(B)



1Probabilidade(B)

4








00000000000

00000000000 - DEMO





5 4


20



RESPOSTA C






A) 98

B) 112

C) 26

D) 66

E) 82

RESOLUCcedilAtildeO


Sabemos que


seguinte

5 114

8 5C C C

5 114

8 5C C C

40 25 814

40C


00000000000

00000000000 - DEMO






RESPOSTA D





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800

RESOLUCcedilAtildeO




Controle = 2P + 16




(2P+ 16) + 2P = 30

4P = 14

14 735

4 2P


RESPOSTA A

00000000000

00000000000 - DEMO







A) 6

B) 9

C) 12

D) 16

E) 25

RESOLUCcedilAtildeO




L = V ndash C






L = V ndash C

12 = V ndash 40

V = 52 reais






reais) Assim

L = V ndash C

-3 = V ndash 60

V = 57 reais



00000000000

00000000000 - DEMO








de 9

RESPOSTA B







de

A) 15 dias

B) 16 dias

C) 18 dias

D) 20 dias

E) 24 dias

RESOLUCcedilAtildeO





trabalho

15 7200 8

15 ndash 3 18000-7200 X

00000000000

00000000000 - DEMO








trabalho

15 7200 8

12 10800 X



trabalho

12 7200 8

15 10800 X


8 12 7200

15 10800

15

X

X dias

RESPOSTA A






00000000000

00000000000 - DEMO






A) 36

B) 72

C) 144

D) 216

E) 432

RESOLUCcedilAtildeO








3 a 3 C(43) = 4





classificado






00000000000

00000000000 - DEMO





fazendo 7 pontos

RESPOSTA E



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

RESOLUCcedilAtildeO




30 18 3

n 80 4







30 18 4

n 80 3


00000000000

00000000000 - DEMO




30 18 4

80 3n


30 18 4

80 3

30 80 3 18 4

30 80 3100

18 4

n

n

n


dias

RESPOSTA B





2 141

Entatildeo






RESOLUCcedilAtildeO

00000000000

00000000000 - DEMO







2520 metros



abaixo



90 90D

2 22 90D

22 90D

90 2D


90 141 1269D




RESPOSTA B



00000000000

00000000000 - DEMO









a) 10

b) 11

c) 15

d) 16

e) 24

RESOLUCcedilAtildeO














RESPOSTA B




mm do ponto A

00000000000

00000000000 - DEMO





(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

RESOLUCcedilAtildeO




AD = AB + BC + CD = 658


BD = BC + CD = 419


AC = AB + BC = 487


que

AB + BC + CD = 658

BC + CD = 419

Logo

AB + 419 = 658

AB = 239mm


AB + BC + CD = 658

AB + BC = 487

00000000000

00000000000 - DEMO




Logo

487 + CD = 658

CD = 171mm

Assim

AB + BC + CD = 658

239 + BC + 171 = 658

BC = 248mm

RESPOSTA E


Abraccedilo

Prof Arthur Lima

Periscope ARTHURRRL


00000000000 - DEMO



















a) 78

b) 76

c) 74

d) 72






00000000000

00000000000 - DEMO





em reais












a

a) 14

b) 18

c) 22

d) 28





a) 120

b) 240

c) 360

d) 480




00000000000

00000000000 - DEMO






(A) 90

(B) 84

(C) 82

(D) 80

(E) 78







a) 6

b) 7

c) 10

d) 14







(A) 3572200

(B) 820000

(C) 357720

(D) 35772

(E) 33220

00000000000

00000000000 - DEMO






a) 80

b) 100

c) 75

d) 25

e) 108








(A) 15

(B) 16

(C) 17

(D) 18

(E) 19





gramas a

(A) 338

(B) 208

(C) 200

(D) 182

(E) 220

00000000000

00000000000 - DEMO









(A) 15h 4 min

(B) 15h 15 min

(C) 15 h 24 min

(D) 15h 29 min

(E) 15 h 31 min





eacute igual a

(A) 125ordm

(B) 115ordm

(C) 110ordm

(D) 135ordm

(E) 130ordm






00000000000

00000000000 - DEMO




(A) 2

7

(B) 5

21

(C) 10

21

(D) 2

49

(E) 10

49









(A) 040

(B) 036

(C) 032

(D) 030

(E) 028









00000000000

00000000000 - DEMO




(A) 1

2

(B) 2

3

(C) 12

35

(D) 8

15

(E) 10

21











(A) R$ 7200000

(B) R$ 8250000

(C) R$ 9400000

(D) R$ 11250000

(E) R$ 12000000







00000000000

00000000000 - DEMO




(A) 3

(B) 6

(C) 4

(D) 5

(E) 7








(A) 23

(B) 78

(C) 14

(D) 38

(E) 98











(D) igual a 8

(E) maior que 13

00000000000

00000000000 - DEMO








(A) 126

(B) 135

(C) 144

(D) 162

(E) 153







(A) 5

(B) 6

(C) 4

(D) 7

(E) 3



00000000000

00000000000 - DEMO










(A) 128

(B) 130

(C) 137

(D) 140

(E) 145










(A) 33

(B) 19

(C) 24

00000000000

00000000000 - DEMO




(D) 15

(E) 23










(A) 58

(B) 65

(C) 76

(D) 53

(E) 95









(A) 36

(B) 54

(C) 58

(D) 56

(E) 48

00000000000

00000000000 - DEMO








(A) 64

(B) 48

(C) 36

(D) 24

(E) 16









00000000000

00000000000 - DEMO











igual a n













retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2






A) 2

B) 4

C) 5

D) 8

E) 10






A) 98

B) 112

C) 26

00000000000

00000000000 - DEMO




D) 66

E) 82





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800




A) 6

B) 9

C) 12

D) 16

E) 25







de

A) 15 dias

B) 16 dias

00000000000

00000000000 - DEMO




C) 18 dias

D) 20 dias

E) 24 dias








A) 36

B) 72

C) 144

D) 216

E) 432



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

00000000000

00000000000 - DEMO








2 141

Entatildeo













a) 10

b) 11

c) 15

d) 16

e) 24

00000000000

00000000000 - DEMO







mm do ponto A


(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

00000000000

00000000000 - DEMO




01 D 02 A 03 B 04 D 05 C 06 A 07 C

08 B 09 C 10 D 11 E 12 E 13 D 14 C

15 A 16 D 17 B 18 D 19 B 20 A 21 C

22 B 23 E 24 E 25 B 26 B 27 A 28 CEE

29 CCEC 30 D 31 C 32 D 33 A 34 B 35 A

36 E 37 B 38 B 39 B 40 E

00000000000

00000000000 - DEMO




220 = 22 x 5 x 11

284 = 22 x 71






amigos Item CORRETO











Resposta C C E C





retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2

RESOLUCcedilAtildeO



temos



40 = 2 x L + 2 x M

00000000000

00000000000 - DEMO




40 = 2 x (L + M)

40 2 = L + M

L + M = 20

M = 20 ndash L






Por outro lado


24 = 2 x (L + N)

24 2 = L + N

12 = L + N

00000000000

00000000000 - DEMO




N = 12 ndash L








(12 ndash L) = (13) x (20 ndash L)




163 = 2L3

16 = 2L

L = 162 = 8cm

Portanto





RESPOSTA D






A) 2

B) 4

00000000000

00000000000 - DEMO




C) 5

D) 8

E) 10

RESOLUCcedilAtildeO





simultaneamente




Probabilidade(A)



1Probabilidade(A)

5





Probabilidade(B)



1Probabilidade(B)

4








00000000000

00000000000 - DEMO





5 4


20



RESPOSTA C






A) 98

B) 112

C) 26

D) 66

E) 82

RESOLUCcedilAtildeO


Sabemos que


seguinte

5 114

8 5C C C

5 114

8 5C C C

40 25 814

40C


00000000000

00000000000 - DEMO






RESPOSTA D





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800

RESOLUCcedilAtildeO




Controle = 2P + 16




(2P+ 16) + 2P = 30

4P = 14

14 735

4 2P


RESPOSTA A

00000000000

00000000000 - DEMO







A) 6

B) 9

C) 12

D) 16

E) 25

RESOLUCcedilAtildeO




L = V ndash C






L = V ndash C

12 = V ndash 40

V = 52 reais






reais) Assim

L = V ndash C

-3 = V ndash 60

V = 57 reais



00000000000

00000000000 - DEMO








de 9

RESPOSTA B







de

A) 15 dias

B) 16 dias

C) 18 dias

D) 20 dias

E) 24 dias

RESOLUCcedilAtildeO





trabalho

15 7200 8

15 ndash 3 18000-7200 X

00000000000

00000000000 - DEMO








trabalho

15 7200 8

12 10800 X



trabalho

12 7200 8

15 10800 X


8 12 7200

15 10800

15

X

X dias

RESPOSTA A






00000000000

00000000000 - DEMO






A) 36

B) 72

C) 144

D) 216

E) 432

RESOLUCcedilAtildeO








3 a 3 C(43) = 4





classificado






00000000000

00000000000 - DEMO





fazendo 7 pontos

RESPOSTA E



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

RESOLUCcedilAtildeO




30 18 3

n 80 4







30 18 4

n 80 3


00000000000

00000000000 - DEMO




30 18 4

80 3n


30 18 4

80 3

30 80 3 18 4

30 80 3100

18 4

n

n

n


dias

RESPOSTA B





2 141

Entatildeo






RESOLUCcedilAtildeO

00000000000

00000000000 - DEMO







2520 metros



abaixo



90 90D

2 22 90D

22 90D

90 2D


90 141 1269D




RESPOSTA B



00000000000

00000000000 - DEMO









a) 10

b) 11

c) 15

d) 16

e) 24

RESOLUCcedilAtildeO














RESPOSTA B




mm do ponto A

00000000000

00000000000 - DEMO





(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

RESOLUCcedilAtildeO




AD = AB + BC + CD = 658


BD = BC + CD = 419


AC = AB + BC = 487


que

AB + BC + CD = 658

BC + CD = 419

Logo

AB + 419 = 658

AB = 239mm


AB + BC + CD = 658

AB + BC = 487

00000000000

00000000000 - DEMO




Logo

487 + CD = 658

CD = 171mm

Assim

AB + BC + CD = 658

239 + BC + 171 = 658

BC = 248mm

RESPOSTA E


Abraccedilo

Prof Arthur Lima

Periscope ARTHURRRL


00000000000 - DEMO



















a) 78

b) 76

c) 74

d) 72






00000000000

00000000000 - DEMO





em reais












a

a) 14

b) 18

c) 22

d) 28





a) 120

b) 240

c) 360

d) 480




00000000000

00000000000 - DEMO






(A) 90

(B) 84

(C) 82

(D) 80

(E) 78







a) 6

b) 7

c) 10

d) 14







(A) 3572200

(B) 820000

(C) 357720

(D) 35772

(E) 33220

00000000000

00000000000 - DEMO






a) 80

b) 100

c) 75

d) 25

e) 108








(A) 15

(B) 16

(C) 17

(D) 18

(E) 19





gramas a

(A) 338

(B) 208

(C) 200

(D) 182

(E) 220

00000000000

00000000000 - DEMO









(A) 15h 4 min

(B) 15h 15 min

(C) 15 h 24 min

(D) 15h 29 min

(E) 15 h 31 min





eacute igual a

(A) 125ordm

(B) 115ordm

(C) 110ordm

(D) 135ordm

(E) 130ordm






00000000000

00000000000 - DEMO




(A) 2

7

(B) 5

21

(C) 10

21

(D) 2

49

(E) 10

49









(A) 040

(B) 036

(C) 032

(D) 030

(E) 028









00000000000

00000000000 - DEMO




(A) 1

2

(B) 2

3

(C) 12

35

(D) 8

15

(E) 10

21











(A) R$ 7200000

(B) R$ 8250000

(C) R$ 9400000

(D) R$ 11250000

(E) R$ 12000000







00000000000

00000000000 - DEMO




(A) 3

(B) 6

(C) 4

(D) 5

(E) 7








(A) 23

(B) 78

(C) 14

(D) 38

(E) 98











(D) igual a 8

(E) maior que 13

00000000000

00000000000 - DEMO








(A) 126

(B) 135

(C) 144

(D) 162

(E) 153







(A) 5

(B) 6

(C) 4

(D) 7

(E) 3



00000000000

00000000000 - DEMO










(A) 128

(B) 130

(C) 137

(D) 140

(E) 145










(A) 33

(B) 19

(C) 24

00000000000

00000000000 - DEMO




(D) 15

(E) 23










(A) 58

(B) 65

(C) 76

(D) 53

(E) 95









(A) 36

(B) 54

(C) 58

(D) 56

(E) 48

00000000000

00000000000 - DEMO








(A) 64

(B) 48

(C) 36

(D) 24

(E) 16









00000000000

00000000000 - DEMO











igual a n













retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2






A) 2

B) 4

C) 5

D) 8

E) 10






A) 98

B) 112

C) 26

00000000000

00000000000 - DEMO




D) 66

E) 82





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800




A) 6

B) 9

C) 12

D) 16

E) 25







de

A) 15 dias

B) 16 dias

00000000000

00000000000 - DEMO




C) 18 dias

D) 20 dias

E) 24 dias








A) 36

B) 72

C) 144

D) 216

E) 432



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

00000000000

00000000000 - DEMO








2 141

Entatildeo













a) 10

b) 11

c) 15

d) 16

e) 24

00000000000

00000000000 - DEMO







mm do ponto A


(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

00000000000

00000000000 - DEMO




01 D 02 A 03 B 04 D 05 C 06 A 07 C

08 B 09 C 10 D 11 E 12 E 13 D 14 C

15 A 16 D 17 B 18 D 19 B 20 A 21 C

22 B 23 E 24 E 25 B 26 B 27 A 28 CEE

29 CCEC 30 D 31 C 32 D 33 A 34 B 35 A

36 E 37 B 38 B 39 B 40 E

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2

RESOLUCcedilAtildeO



temos



40 = 2 x L + 2 x M

00000000000

00000000000 - DEMO




40 = 2 x (L + M)

40 2 = L + M

L + M = 20

M = 20 ndash L






Por outro lado


24 = 2 x (L + N)

24 2 = L + N

12 = L + N

00000000000

00000000000 - DEMO




N = 12 ndash L








(12 ndash L) = (13) x (20 ndash L)




163 = 2L3

16 = 2L

L = 162 = 8cm

Portanto





RESPOSTA D






A) 2

B) 4

00000000000

00000000000 - DEMO




C) 5

D) 8

E) 10

RESOLUCcedilAtildeO





simultaneamente




Probabilidade(A)



1Probabilidade(A)

5





Probabilidade(B)



1Probabilidade(B)

4








00000000000

00000000000 - DEMO





5 4


20



RESPOSTA C






A) 98

B) 112

C) 26

D) 66

E) 82

RESOLUCcedilAtildeO


Sabemos que


seguinte

5 114

8 5C C C

5 114

8 5C C C

40 25 814

40C


00000000000

00000000000 - DEMO






RESPOSTA D





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800

RESOLUCcedilAtildeO




Controle = 2P + 16




(2P+ 16) + 2P = 30

4P = 14

14 735

4 2P


RESPOSTA A

00000000000

00000000000 - DEMO







A) 6

B) 9

C) 12

D) 16

E) 25

RESOLUCcedilAtildeO




L = V ndash C






L = V ndash C

12 = V ndash 40

V = 52 reais






reais) Assim

L = V ndash C

-3 = V ndash 60

V = 57 reais



00000000000

00000000000 - DEMO








de 9

RESPOSTA B







de

A) 15 dias

B) 16 dias

C) 18 dias

D) 20 dias

E) 24 dias

RESOLUCcedilAtildeO





trabalho

15 7200 8

15 ndash 3 18000-7200 X

00000000000

00000000000 - DEMO








trabalho

15 7200 8

12 10800 X



trabalho

12 7200 8

15 10800 X


8 12 7200

15 10800

15

X

X dias

RESPOSTA A






00000000000

00000000000 - DEMO






A) 36

B) 72

C) 144

D) 216

E) 432

RESOLUCcedilAtildeO








3 a 3 C(43) = 4





classificado






00000000000

00000000000 - DEMO





fazendo 7 pontos

RESPOSTA E



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

RESOLUCcedilAtildeO




30 18 3

n 80 4







30 18 4

n 80 3


00000000000

00000000000 - DEMO




30 18 4

80 3n


30 18 4

80 3

30 80 3 18 4

30 80 3100

18 4

n

n

n


dias

RESPOSTA B





2 141

Entatildeo






RESOLUCcedilAtildeO

00000000000

00000000000 - DEMO







2520 metros



abaixo



90 90D

2 22 90D

22 90D

90 2D


90 141 1269D




RESPOSTA B



00000000000

00000000000 - DEMO









a) 10

b) 11

c) 15

d) 16

e) 24

RESOLUCcedilAtildeO














RESPOSTA B




mm do ponto A

00000000000

00000000000 - DEMO





(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

RESOLUCcedilAtildeO




AD = AB + BC + CD = 658


BD = BC + CD = 419


AC = AB + BC = 487


que

AB + BC + CD = 658

BC + CD = 419

Logo

AB + 419 = 658

AB = 239mm


AB + BC + CD = 658

AB + BC = 487

00000000000

00000000000 - DEMO




Logo

487 + CD = 658

CD = 171mm

Assim

AB + BC + CD = 658

239 + BC + 171 = 658

BC = 248mm

RESPOSTA E


Abraccedilo

Prof Arthur Lima

Periscope ARTHURRRL


00000000000 - DEMO



















a) 78

b) 76

c) 74

d) 72






00000000000

00000000000 - DEMO





em reais












a

a) 14

b) 18

c) 22

d) 28





a) 120

b) 240

c) 360

d) 480




00000000000

00000000000 - DEMO






(A) 90

(B) 84

(C) 82

(D) 80

(E) 78







a) 6

b) 7

c) 10

d) 14







(A) 3572200

(B) 820000

(C) 357720

(D) 35772

(E) 33220

00000000000

00000000000 - DEMO






a) 80

b) 100

c) 75

d) 25

e) 108








(A) 15

(B) 16

(C) 17

(D) 18

(E) 19





gramas a

(A) 338

(B) 208

(C) 200

(D) 182

(E) 220

00000000000

00000000000 - DEMO









(A) 15h 4 min

(B) 15h 15 min

(C) 15 h 24 min

(D) 15h 29 min

(E) 15 h 31 min





eacute igual a

(A) 125ordm

(B) 115ordm

(C) 110ordm

(D) 135ordm

(E) 130ordm






00000000000

00000000000 - DEMO




(A) 2

7

(B) 5

21

(C) 10

21

(D) 2

49

(E) 10

49









(A) 040

(B) 036

(C) 032

(D) 030

(E) 028









00000000000

00000000000 - DEMO




(A) 1

2

(B) 2

3

(C) 12

35

(D) 8

15

(E) 10

21











(A) R$ 7200000

(B) R$ 8250000

(C) R$ 9400000

(D) R$ 11250000

(E) R$ 12000000







00000000000

00000000000 - DEMO




(A) 3

(B) 6

(C) 4

(D) 5

(E) 7








(A) 23

(B) 78

(C) 14

(D) 38

(E) 98











(D) igual a 8

(E) maior que 13

00000000000

00000000000 - DEMO








(A) 126

(B) 135

(C) 144

(D) 162

(E) 153







(A) 5

(B) 6

(C) 4

(D) 7

(E) 3



00000000000

00000000000 - DEMO










(A) 128

(B) 130

(C) 137

(D) 140

(E) 145










(A) 33

(B) 19

(C) 24

00000000000

00000000000 - DEMO




(D) 15

(E) 23










(A) 58

(B) 65

(C) 76

(D) 53

(E) 95









(A) 36

(B) 54

(C) 58

(D) 56

(E) 48

00000000000

00000000000 - DEMO








(A) 64

(B) 48

(C) 36

(D) 24

(E) 16









00000000000

00000000000 - DEMO











igual a n













retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2






A) 2

B) 4

C) 5

D) 8

E) 10






A) 98

B) 112

C) 26

00000000000

00000000000 - DEMO




D) 66

E) 82





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800




A) 6

B) 9

C) 12

D) 16

E) 25







de

A) 15 dias

B) 16 dias

00000000000

00000000000 - DEMO




C) 18 dias

D) 20 dias

E) 24 dias








A) 36

B) 72

C) 144

D) 216

E) 432



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

00000000000

00000000000 - DEMO








2 141

Entatildeo













a) 10

b) 11

c) 15

d) 16

e) 24

00000000000

00000000000 - DEMO







mm do ponto A


(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

00000000000

00000000000 - DEMO




01 D 02 A 03 B 04 D 05 C 06 A 07 C

08 B 09 C 10 D 11 E 12 E 13 D 14 C

15 A 16 D 17 B 18 D 19 B 20 A 21 C

22 B 23 E 24 E 25 B 26 B 27 A 28 CEE

29 CCEC 30 D 31 C 32 D 33 A 34 B 35 A

36 E 37 B 38 B 39 B 40 E

00000000000

00000000000 - DEMO




40 = 2 x (L + M)

40 2 = L + M

L + M = 20

M = 20 ndash L






Por outro lado


24 = 2 x (L + N)

24 2 = L + N

12 = L + N

00000000000

00000000000 - DEMO




N = 12 ndash L








(12 ndash L) = (13) x (20 ndash L)




163 = 2L3

16 = 2L

L = 162 = 8cm

Portanto





RESPOSTA D






A) 2

B) 4

00000000000

00000000000 - DEMO




C) 5

D) 8

E) 10

RESOLUCcedilAtildeO





simultaneamente




Probabilidade(A)



1Probabilidade(A)

5





Probabilidade(B)



1Probabilidade(B)

4








00000000000

00000000000 - DEMO





5 4


20



RESPOSTA C






A) 98

B) 112

C) 26

D) 66

E) 82

RESOLUCcedilAtildeO


Sabemos que


seguinte

5 114

8 5C C C

5 114

8 5C C C

40 25 814

40C


00000000000

00000000000 - DEMO






RESPOSTA D





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800

RESOLUCcedilAtildeO




Controle = 2P + 16




(2P+ 16) + 2P = 30

4P = 14

14 735

4 2P


RESPOSTA A

00000000000

00000000000 - DEMO







A) 6

B) 9

C) 12

D) 16

E) 25

RESOLUCcedilAtildeO




L = V ndash C






L = V ndash C

12 = V ndash 40

V = 52 reais






reais) Assim

L = V ndash C

-3 = V ndash 60

V = 57 reais



00000000000

00000000000 - DEMO








de 9

RESPOSTA B







de

A) 15 dias

B) 16 dias

C) 18 dias

D) 20 dias

E) 24 dias

RESOLUCcedilAtildeO





trabalho

15 7200 8

15 ndash 3 18000-7200 X

00000000000

00000000000 - DEMO








trabalho

15 7200 8

12 10800 X



trabalho

12 7200 8

15 10800 X


8 12 7200

15 10800

15

X

X dias

RESPOSTA A






00000000000

00000000000 - DEMO






A) 36

B) 72

C) 144

D) 216

E) 432

RESOLUCcedilAtildeO








3 a 3 C(43) = 4





classificado






00000000000

00000000000 - DEMO





fazendo 7 pontos

RESPOSTA E



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

RESOLUCcedilAtildeO




30 18 3

n 80 4







30 18 4

n 80 3


00000000000

00000000000 - DEMO




30 18 4

80 3n


30 18 4

80 3

30 80 3 18 4

30 80 3100

18 4

n

n

n


dias

RESPOSTA B





2 141

Entatildeo






RESOLUCcedilAtildeO

00000000000

00000000000 - DEMO







2520 metros



abaixo



90 90D

2 22 90D

22 90D

90 2D


90 141 1269D




RESPOSTA B



00000000000

00000000000 - DEMO









a) 10

b) 11

c) 15

d) 16

e) 24

RESOLUCcedilAtildeO














RESPOSTA B




mm do ponto A

00000000000

00000000000 - DEMO





(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

RESOLUCcedilAtildeO




AD = AB + BC + CD = 658


BD = BC + CD = 419


AC = AB + BC = 487


que

AB + BC + CD = 658

BC + CD = 419

Logo

AB + 419 = 658

AB = 239mm


AB + BC + CD = 658

AB + BC = 487

00000000000

00000000000 - DEMO




Logo

487 + CD = 658

CD = 171mm

Assim

AB + BC + CD = 658

239 + BC + 171 = 658

BC = 248mm

RESPOSTA E


Abraccedilo

Prof Arthur Lima

Periscope ARTHURRRL


00000000000 - DEMO



















a) 78

b) 76

c) 74

d) 72






00000000000

00000000000 - DEMO





em reais












a

a) 14

b) 18

c) 22

d) 28





a) 120

b) 240

c) 360

d) 480




00000000000

00000000000 - DEMO






(A) 90

(B) 84

(C) 82

(D) 80

(E) 78







a) 6

b) 7

c) 10

d) 14







(A) 3572200

(B) 820000

(C) 357720

(D) 35772

(E) 33220

00000000000

00000000000 - DEMO






a) 80

b) 100

c) 75

d) 25

e) 108








(A) 15

(B) 16

(C) 17

(D) 18

(E) 19





gramas a

(A) 338

(B) 208

(C) 200

(D) 182

(E) 220

00000000000

00000000000 - DEMO









(A) 15h 4 min

(B) 15h 15 min

(C) 15 h 24 min

(D) 15h 29 min

(E) 15 h 31 min





eacute igual a

(A) 125ordm

(B) 115ordm

(C) 110ordm

(D) 135ordm

(E) 130ordm






00000000000

00000000000 - DEMO




(A) 2

7

(B) 5

21

(C) 10

21

(D) 2

49

(E) 10

49









(A) 040

(B) 036

(C) 032

(D) 030

(E) 028









00000000000

00000000000 - DEMO




(A) 1

2

(B) 2

3

(C) 12

35

(D) 8

15

(E) 10

21











(A) R$ 7200000

(B) R$ 8250000

(C) R$ 9400000

(D) R$ 11250000

(E) R$ 12000000







00000000000

00000000000 - DEMO




(A) 3

(B) 6

(C) 4

(D) 5

(E) 7








(A) 23

(B) 78

(C) 14

(D) 38

(E) 98











(D) igual a 8

(E) maior que 13

00000000000

00000000000 - DEMO








(A) 126

(B) 135

(C) 144

(D) 162

(E) 153







(A) 5

(B) 6

(C) 4

(D) 7

(E) 3



00000000000

00000000000 - DEMO










(A) 128

(B) 130

(C) 137

(D) 140

(E) 145










(A) 33

(B) 19

(C) 24

00000000000

00000000000 - DEMO




(D) 15

(E) 23










(A) 58

(B) 65

(C) 76

(D) 53

(E) 95









(A) 36

(B) 54

(C) 58

(D) 56

(E) 48

00000000000

00000000000 - DEMO








(A) 64

(B) 48

(C) 36

(D) 24

(E) 16









00000000000

00000000000 - DEMO











igual a n













retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2






A) 2

B) 4

C) 5

D) 8

E) 10






A) 98

B) 112

C) 26

00000000000

00000000000 - DEMO




D) 66

E) 82





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800




A) 6

B) 9

C) 12

D) 16

E) 25







de

A) 15 dias

B) 16 dias

00000000000

00000000000 - DEMO




C) 18 dias

D) 20 dias

E) 24 dias








A) 36

B) 72

C) 144

D) 216

E) 432



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

00000000000

00000000000 - DEMO








2 141

Entatildeo













a) 10

b) 11

c) 15

d) 16

e) 24

00000000000

00000000000 - DEMO







mm do ponto A


(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

00000000000

00000000000 - DEMO




01 D 02 A 03 B 04 D 05 C 06 A 07 C

08 B 09 C 10 D 11 E 12 E 13 D 14 C

15 A 16 D 17 B 18 D 19 B 20 A 21 C

22 B 23 E 24 E 25 B 26 B 27 A 28 CEE

29 CCEC 30 D 31 C 32 D 33 A 34 B 35 A

36 E 37 B 38 B 39 B 40 E

00000000000

00000000000 - DEMO




N = 12 ndash L








(12 ndash L) = (13) x (20 ndash L)




163 = 2L3

16 = 2L

L = 162 = 8cm

Portanto





RESPOSTA D






A) 2

B) 4

00000000000

00000000000 - DEMO




C) 5

D) 8

E) 10

RESOLUCcedilAtildeO





simultaneamente




Probabilidade(A)



1Probabilidade(A)

5





Probabilidade(B)



1Probabilidade(B)

4








00000000000

00000000000 - DEMO





5 4


20



RESPOSTA C






A) 98

B) 112

C) 26

D) 66

E) 82

RESOLUCcedilAtildeO


Sabemos que


seguinte

5 114

8 5C C C

5 114

8 5C C C

40 25 814

40C


00000000000

00000000000 - DEMO






RESPOSTA D





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800

RESOLUCcedilAtildeO




Controle = 2P + 16




(2P+ 16) + 2P = 30

4P = 14

14 735

4 2P


RESPOSTA A

00000000000

00000000000 - DEMO







A) 6

B) 9

C) 12

D) 16

E) 25

RESOLUCcedilAtildeO




L = V ndash C






L = V ndash C

12 = V ndash 40

V = 52 reais






reais) Assim

L = V ndash C

-3 = V ndash 60

V = 57 reais



00000000000

00000000000 - DEMO








de 9

RESPOSTA B







de

A) 15 dias

B) 16 dias

C) 18 dias

D) 20 dias

E) 24 dias

RESOLUCcedilAtildeO





trabalho

15 7200 8

15 ndash 3 18000-7200 X

00000000000

00000000000 - DEMO








trabalho

15 7200 8

12 10800 X



trabalho

12 7200 8

15 10800 X


8 12 7200

15 10800

15

X

X dias

RESPOSTA A






00000000000

00000000000 - DEMO






A) 36

B) 72

C) 144

D) 216

E) 432

RESOLUCcedilAtildeO








3 a 3 C(43) = 4





classificado






00000000000

00000000000 - DEMO





fazendo 7 pontos

RESPOSTA E



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

RESOLUCcedilAtildeO




30 18 3

n 80 4







30 18 4

n 80 3


00000000000

00000000000 - DEMO




30 18 4

80 3n


30 18 4

80 3

30 80 3 18 4

30 80 3100

18 4

n

n

n


dias

RESPOSTA B





2 141

Entatildeo






RESOLUCcedilAtildeO

00000000000

00000000000 - DEMO







2520 metros



abaixo



90 90D

2 22 90D

22 90D

90 2D


90 141 1269D




RESPOSTA B



00000000000

00000000000 - DEMO









a) 10

b) 11

c) 15

d) 16

e) 24

RESOLUCcedilAtildeO














RESPOSTA B




mm do ponto A

00000000000

00000000000 - DEMO





(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

RESOLUCcedilAtildeO




AD = AB + BC + CD = 658


BD = BC + CD = 419


AC = AB + BC = 487


que

AB + BC + CD = 658

BC + CD = 419

Logo

AB + 419 = 658

AB = 239mm


AB + BC + CD = 658

AB + BC = 487

00000000000

00000000000 - DEMO




Logo

487 + CD = 658

CD = 171mm

Assim

AB + BC + CD = 658

239 + BC + 171 = 658

BC = 248mm

RESPOSTA E


Abraccedilo

Prof Arthur Lima

Periscope ARTHURRRL


00000000000 - DEMO



















a) 78

b) 76

c) 74

d) 72






00000000000

00000000000 - DEMO





em reais












a

a) 14

b) 18

c) 22

d) 28





a) 120

b) 240

c) 360

d) 480




00000000000

00000000000 - DEMO






(A) 90

(B) 84

(C) 82

(D) 80

(E) 78







a) 6

b) 7

c) 10

d) 14







(A) 3572200

(B) 820000

(C) 357720

(D) 35772

(E) 33220

00000000000

00000000000 - DEMO






a) 80

b) 100

c) 75

d) 25

e) 108








(A) 15

(B) 16

(C) 17

(D) 18

(E) 19





gramas a

(A) 338

(B) 208

(C) 200

(D) 182

(E) 220

00000000000

00000000000 - DEMO









(A) 15h 4 min

(B) 15h 15 min

(C) 15 h 24 min

(D) 15h 29 min

(E) 15 h 31 min





eacute igual a

(A) 125ordm

(B) 115ordm

(C) 110ordm

(D) 135ordm

(E) 130ordm






00000000000

00000000000 - DEMO




(A) 2

7

(B) 5

21

(C) 10

21

(D) 2

49

(E) 10

49









(A) 040

(B) 036

(C) 032

(D) 030

(E) 028









00000000000

00000000000 - DEMO




(A) 1

2

(B) 2

3

(C) 12

35

(D) 8

15

(E) 10

21











(A) R$ 7200000

(B) R$ 8250000

(C) R$ 9400000

(D) R$ 11250000

(E) R$ 12000000







00000000000

00000000000 - DEMO




(A) 3

(B) 6

(C) 4

(D) 5

(E) 7








(A) 23

(B) 78

(C) 14

(D) 38

(E) 98











(D) igual a 8

(E) maior que 13

00000000000

00000000000 - DEMO








(A) 126

(B) 135

(C) 144

(D) 162

(E) 153







(A) 5

(B) 6

(C) 4

(D) 7

(E) 3



00000000000

00000000000 - DEMO










(A) 128

(B) 130

(C) 137

(D) 140

(E) 145










(A) 33

(B) 19

(C) 24

00000000000

00000000000 - DEMO




(D) 15

(E) 23










(A) 58

(B) 65

(C) 76

(D) 53

(E) 95









(A) 36

(B) 54

(C) 58

(D) 56

(E) 48

00000000000

00000000000 - DEMO








(A) 64

(B) 48

(C) 36

(D) 24

(E) 16









00000000000

00000000000 - DEMO











igual a n













retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2






A) 2

B) 4

C) 5

D) 8

E) 10






A) 98

B) 112

C) 26

00000000000

00000000000 - DEMO




D) 66

E) 82





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800




A) 6

B) 9

C) 12

D) 16

E) 25







de

A) 15 dias

B) 16 dias

00000000000

00000000000 - DEMO




C) 18 dias

D) 20 dias

E) 24 dias








A) 36

B) 72

C) 144

D) 216

E) 432



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

00000000000

00000000000 - DEMO








2 141

Entatildeo













a) 10

b) 11

c) 15

d) 16

e) 24

00000000000

00000000000 - DEMO







mm do ponto A


(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

00000000000

00000000000 - DEMO




01 D 02 A 03 B 04 D 05 C 06 A 07 C

08 B 09 C 10 D 11 E 12 E 13 D 14 C

15 A 16 D 17 B 18 D 19 B 20 A 21 C

22 B 23 E 24 E 25 B 26 B 27 A 28 CEE

29 CCEC 30 D 31 C 32 D 33 A 34 B 35 A

36 E 37 B 38 B 39 B 40 E

00000000000

00000000000 - DEMO




C) 5

D) 8

E) 10

RESOLUCcedilAtildeO





simultaneamente




Probabilidade(A)



1Probabilidade(A)

5





Probabilidade(B)



1Probabilidade(B)

4








00000000000

00000000000 - DEMO





5 4


20



RESPOSTA C






A) 98

B) 112

C) 26

D) 66

E) 82

RESOLUCcedilAtildeO


Sabemos que


seguinte

5 114

8 5C C C

5 114

8 5C C C

40 25 814

40C


00000000000

00000000000 - DEMO






RESPOSTA D





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800

RESOLUCcedilAtildeO




Controle = 2P + 16




(2P+ 16) + 2P = 30

4P = 14

14 735

4 2P


RESPOSTA A

00000000000

00000000000 - DEMO







A) 6

B) 9

C) 12

D) 16

E) 25

RESOLUCcedilAtildeO




L = V ndash C






L = V ndash C

12 = V ndash 40

V = 52 reais






reais) Assim

L = V ndash C

-3 = V ndash 60

V = 57 reais



00000000000

00000000000 - DEMO








de 9

RESPOSTA B







de

A) 15 dias

B) 16 dias

C) 18 dias

D) 20 dias

E) 24 dias

RESOLUCcedilAtildeO





trabalho

15 7200 8

15 ndash 3 18000-7200 X

00000000000

00000000000 - DEMO








trabalho

15 7200 8

12 10800 X



trabalho

12 7200 8

15 10800 X


8 12 7200

15 10800

15

X

X dias

RESPOSTA A






00000000000

00000000000 - DEMO






A) 36

B) 72

C) 144

D) 216

E) 432

RESOLUCcedilAtildeO








3 a 3 C(43) = 4





classificado






00000000000

00000000000 - DEMO





fazendo 7 pontos

RESPOSTA E



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

RESOLUCcedilAtildeO




30 18 3

n 80 4







30 18 4

n 80 3


00000000000

00000000000 - DEMO




30 18 4

80 3n


30 18 4

80 3

30 80 3 18 4

30 80 3100

18 4

n

n

n


dias

RESPOSTA B





2 141

Entatildeo






RESOLUCcedilAtildeO

00000000000

00000000000 - DEMO







2520 metros



abaixo



90 90D

2 22 90D

22 90D

90 2D


90 141 1269D




RESPOSTA B



00000000000

00000000000 - DEMO









a) 10

b) 11

c) 15

d) 16

e) 24

RESOLUCcedilAtildeO














RESPOSTA B




mm do ponto A

00000000000

00000000000 - DEMO





(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

RESOLUCcedilAtildeO




AD = AB + BC + CD = 658


BD = BC + CD = 419


AC = AB + BC = 487


que

AB + BC + CD = 658

BC + CD = 419

Logo

AB + 419 = 658

AB = 239mm


AB + BC + CD = 658

AB + BC = 487

00000000000

00000000000 - DEMO




Logo

487 + CD = 658

CD = 171mm

Assim

AB + BC + CD = 658

239 + BC + 171 = 658

BC = 248mm

RESPOSTA E


Abraccedilo

Prof Arthur Lima

Periscope ARTHURRRL


00000000000 - DEMO



















a) 78

b) 76

c) 74

d) 72






00000000000

00000000000 - DEMO





em reais












a

a) 14

b) 18

c) 22

d) 28





a) 120

b) 240

c) 360

d) 480




00000000000

00000000000 - DEMO






(A) 90

(B) 84

(C) 82

(D) 80

(E) 78







a) 6

b) 7

c) 10

d) 14







(A) 3572200

(B) 820000

(C) 357720

(D) 35772

(E) 33220

00000000000

00000000000 - DEMO






a) 80

b) 100

c) 75

d) 25

e) 108








(A) 15

(B) 16

(C) 17

(D) 18

(E) 19





gramas a

(A) 338

(B) 208

(C) 200

(D) 182

(E) 220

00000000000

00000000000 - DEMO









(A) 15h 4 min

(B) 15h 15 min

(C) 15 h 24 min

(D) 15h 29 min

(E) 15 h 31 min





eacute igual a

(A) 125ordm

(B) 115ordm

(C) 110ordm

(D) 135ordm

(E) 130ordm






00000000000

00000000000 - DEMO




(A) 2

7

(B) 5

21

(C) 10

21

(D) 2

49

(E) 10

49









(A) 040

(B) 036

(C) 032

(D) 030

(E) 028









00000000000

00000000000 - DEMO




(A) 1

2

(B) 2

3

(C) 12

35

(D) 8

15

(E) 10

21











(A) R$ 7200000

(B) R$ 8250000

(C) R$ 9400000

(D) R$ 11250000

(E) R$ 12000000







00000000000

00000000000 - DEMO




(A) 3

(B) 6

(C) 4

(D) 5

(E) 7








(A) 23

(B) 78

(C) 14

(D) 38

(E) 98











(D) igual a 8

(E) maior que 13

00000000000

00000000000 - DEMO








(A) 126

(B) 135

(C) 144

(D) 162

(E) 153







(A) 5

(B) 6

(C) 4

(D) 7

(E) 3



00000000000

00000000000 - DEMO










(A) 128

(B) 130

(C) 137

(D) 140

(E) 145










(A) 33

(B) 19

(C) 24

00000000000

00000000000 - DEMO




(D) 15

(E) 23










(A) 58

(B) 65

(C) 76

(D) 53

(E) 95









(A) 36

(B) 54

(C) 58

(D) 56

(E) 48

00000000000

00000000000 - DEMO








(A) 64

(B) 48

(C) 36

(D) 24

(E) 16









00000000000

00000000000 - DEMO











igual a n













retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2






A) 2

B) 4

C) 5

D) 8

E) 10






A) 98

B) 112

C) 26

00000000000

00000000000 - DEMO




D) 66

E) 82





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800




A) 6

B) 9

C) 12

D) 16

E) 25







de

A) 15 dias

B) 16 dias

00000000000

00000000000 - DEMO




C) 18 dias

D) 20 dias

E) 24 dias








A) 36

B) 72

C) 144

D) 216

E) 432



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

00000000000

00000000000 - DEMO








2 141

Entatildeo













a) 10

b) 11

c) 15

d) 16

e) 24

00000000000

00000000000 - DEMO







mm do ponto A


(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

00000000000

00000000000 - DEMO




01 D 02 A 03 B 04 D 05 C 06 A 07 C

08 B 09 C 10 D 11 E 12 E 13 D 14 C

15 A 16 D 17 B 18 D 19 B 20 A 21 C

22 B 23 E 24 E 25 B 26 B 27 A 28 CEE

29 CCEC 30 D 31 C 32 D 33 A 34 B 35 A

36 E 37 B 38 B 39 B 40 E

00000000000

00000000000 - DEMO





5 4


20



RESPOSTA C






A) 98

B) 112

C) 26

D) 66

E) 82

RESOLUCcedilAtildeO


Sabemos que


seguinte

5 114

8 5C C C

5 114

8 5C C C

40 25 814

40C


00000000000

00000000000 - DEMO






RESPOSTA D





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800

RESOLUCcedilAtildeO




Controle = 2P + 16




(2P+ 16) + 2P = 30

4P = 14

14 735

4 2P


RESPOSTA A

00000000000

00000000000 - DEMO







A) 6

B) 9

C) 12

D) 16

E) 25

RESOLUCcedilAtildeO




L = V ndash C






L = V ndash C

12 = V ndash 40

V = 52 reais






reais) Assim

L = V ndash C

-3 = V ndash 60

V = 57 reais



00000000000

00000000000 - DEMO








de 9

RESPOSTA B







de

A) 15 dias

B) 16 dias

C) 18 dias

D) 20 dias

E) 24 dias

RESOLUCcedilAtildeO





trabalho

15 7200 8

15 ndash 3 18000-7200 X

00000000000

00000000000 - DEMO








trabalho

15 7200 8

12 10800 X



trabalho

12 7200 8

15 10800 X


8 12 7200

15 10800

15

X

X dias

RESPOSTA A






00000000000

00000000000 - DEMO






A) 36

B) 72

C) 144

D) 216

E) 432

RESOLUCcedilAtildeO








3 a 3 C(43) = 4





classificado






00000000000

00000000000 - DEMO





fazendo 7 pontos

RESPOSTA E



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

RESOLUCcedilAtildeO




30 18 3

n 80 4







30 18 4

n 80 3


00000000000

00000000000 - DEMO




30 18 4

80 3n


30 18 4

80 3

30 80 3 18 4

30 80 3100

18 4

n

n

n


dias

RESPOSTA B





2 141

Entatildeo






RESOLUCcedilAtildeO

00000000000

00000000000 - DEMO







2520 metros



abaixo



90 90D

2 22 90D

22 90D

90 2D


90 141 1269D




RESPOSTA B



00000000000

00000000000 - DEMO









a) 10

b) 11

c) 15

d) 16

e) 24

RESOLUCcedilAtildeO














RESPOSTA B




mm do ponto A

00000000000

00000000000 - DEMO





(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

RESOLUCcedilAtildeO




AD = AB + BC + CD = 658


BD = BC + CD = 419


AC = AB + BC = 487


que

AB + BC + CD = 658

BC + CD = 419

Logo

AB + 419 = 658

AB = 239mm


AB + BC + CD = 658

AB + BC = 487

00000000000

00000000000 - DEMO




Logo

487 + CD = 658

CD = 171mm

Assim

AB + BC + CD = 658

239 + BC + 171 = 658

BC = 248mm

RESPOSTA E


Abraccedilo

Prof Arthur Lima

Periscope ARTHURRRL


00000000000 - DEMO



















a) 78

b) 76

c) 74

d) 72






00000000000

00000000000 - DEMO





em reais












a

a) 14

b) 18

c) 22

d) 28





a) 120

b) 240

c) 360

d) 480




00000000000

00000000000 - DEMO






(A) 90

(B) 84

(C) 82

(D) 80

(E) 78







a) 6

b) 7

c) 10

d) 14







(A) 3572200

(B) 820000

(C) 357720

(D) 35772

(E) 33220

00000000000

00000000000 - DEMO






a) 80

b) 100

c) 75

d) 25

e) 108








(A) 15

(B) 16

(C) 17

(D) 18

(E) 19





gramas a

(A) 338

(B) 208

(C) 200

(D) 182

(E) 220

00000000000

00000000000 - DEMO









(A) 15h 4 min

(B) 15h 15 min

(C) 15 h 24 min

(D) 15h 29 min

(E) 15 h 31 min





eacute igual a

(A) 125ordm

(B) 115ordm

(C) 110ordm

(D) 135ordm

(E) 130ordm






00000000000

00000000000 - DEMO




(A) 2

7

(B) 5

21

(C) 10

21

(D) 2

49

(E) 10

49









(A) 040

(B) 036

(C) 032

(D) 030

(E) 028









00000000000

00000000000 - DEMO




(A) 1

2

(B) 2

3

(C) 12

35

(D) 8

15

(E) 10

21











(A) R$ 7200000

(B) R$ 8250000

(C) R$ 9400000

(D) R$ 11250000

(E) R$ 12000000







00000000000

00000000000 - DEMO




(A) 3

(B) 6

(C) 4

(D) 5

(E) 7








(A) 23

(B) 78

(C) 14

(D) 38

(E) 98











(D) igual a 8

(E) maior que 13

00000000000

00000000000 - DEMO








(A) 126

(B) 135

(C) 144

(D) 162

(E) 153







(A) 5

(B) 6

(C) 4

(D) 7

(E) 3



00000000000

00000000000 - DEMO










(A) 128

(B) 130

(C) 137

(D) 140

(E) 145










(A) 33

(B) 19

(C) 24

00000000000

00000000000 - DEMO




(D) 15

(E) 23










(A) 58

(B) 65

(C) 76

(D) 53

(E) 95









(A) 36

(B) 54

(C) 58

(D) 56

(E) 48

00000000000

00000000000 - DEMO








(A) 64

(B) 48

(C) 36

(D) 24

(E) 16









00000000000

00000000000 - DEMO











igual a n













retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2






A) 2

B) 4

C) 5

D) 8

E) 10






A) 98

B) 112

C) 26

00000000000

00000000000 - DEMO




D) 66

E) 82





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800




A) 6

B) 9

C) 12

D) 16

E) 25







de

A) 15 dias

B) 16 dias

00000000000

00000000000 - DEMO




C) 18 dias

D) 20 dias

E) 24 dias








A) 36

B) 72

C) 144

D) 216

E) 432



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

00000000000

00000000000 - DEMO








2 141

Entatildeo













a) 10

b) 11

c) 15

d) 16

e) 24

00000000000

00000000000 - DEMO







mm do ponto A


(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

00000000000

00000000000 - DEMO




01 D 02 A 03 B 04 D 05 C 06 A 07 C

08 B 09 C 10 D 11 E 12 E 13 D 14 C

15 A 16 D 17 B 18 D 19 B 20 A 21 C

22 B 23 E 24 E 25 B 26 B 27 A 28 CEE

29 CCEC 30 D 31 C 32 D 33 A 34 B 35 A

36 E 37 B 38 B 39 B 40 E

00000000000

00000000000 - DEMO






RESPOSTA D





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800

RESOLUCcedilAtildeO




Controle = 2P + 16




(2P+ 16) + 2P = 30

4P = 14

14 735

4 2P


RESPOSTA A

00000000000

00000000000 - DEMO







A) 6

B) 9

C) 12

D) 16

E) 25

RESOLUCcedilAtildeO




L = V ndash C






L = V ndash C

12 = V ndash 40

V = 52 reais






reais) Assim

L = V ndash C

-3 = V ndash 60

V = 57 reais



00000000000

00000000000 - DEMO








de 9

RESPOSTA B







de

A) 15 dias

B) 16 dias

C) 18 dias

D) 20 dias

E) 24 dias

RESOLUCcedilAtildeO





trabalho

15 7200 8

15 ndash 3 18000-7200 X

00000000000

00000000000 - DEMO








trabalho

15 7200 8

12 10800 X



trabalho

12 7200 8

15 10800 X


8 12 7200

15 10800

15

X

X dias

RESPOSTA A






00000000000

00000000000 - DEMO






A) 36

B) 72

C) 144

D) 216

E) 432

RESOLUCcedilAtildeO








3 a 3 C(43) = 4





classificado






00000000000

00000000000 - DEMO





fazendo 7 pontos

RESPOSTA E



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

RESOLUCcedilAtildeO




30 18 3

n 80 4







30 18 4

n 80 3


00000000000

00000000000 - DEMO




30 18 4

80 3n


30 18 4

80 3

30 80 3 18 4

30 80 3100

18 4

n

n

n


dias

RESPOSTA B





2 141

Entatildeo






RESOLUCcedilAtildeO

00000000000

00000000000 - DEMO







2520 metros



abaixo



90 90D

2 22 90D

22 90D

90 2D


90 141 1269D




RESPOSTA B



00000000000

00000000000 - DEMO









a) 10

b) 11

c) 15

d) 16

e) 24

RESOLUCcedilAtildeO














RESPOSTA B




mm do ponto A

00000000000

00000000000 - DEMO





(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

RESOLUCcedilAtildeO




AD = AB + BC + CD = 658


BD = BC + CD = 419


AC = AB + BC = 487


que

AB + BC + CD = 658

BC + CD = 419

Logo

AB + 419 = 658

AB = 239mm


AB + BC + CD = 658

AB + BC = 487

00000000000

00000000000 - DEMO




Logo

487 + CD = 658

CD = 171mm

Assim

AB + BC + CD = 658

239 + BC + 171 = 658

BC = 248mm

RESPOSTA E


Abraccedilo

Prof Arthur Lima

Periscope ARTHURRRL


00000000000 - DEMO



















a) 78

b) 76

c) 74

d) 72






00000000000

00000000000 - DEMO





em reais












a

a) 14

b) 18

c) 22

d) 28





a) 120

b) 240

c) 360

d) 480




00000000000

00000000000 - DEMO






(A) 90

(B) 84

(C) 82

(D) 80

(E) 78







a) 6

b) 7

c) 10

d) 14







(A) 3572200

(B) 820000

(C) 357720

(D) 35772

(E) 33220

00000000000

00000000000 - DEMO






a) 80

b) 100

c) 75

d) 25

e) 108








(A) 15

(B) 16

(C) 17

(D) 18

(E) 19





gramas a

(A) 338

(B) 208

(C) 200

(D) 182

(E) 220

00000000000

00000000000 - DEMO









(A) 15h 4 min

(B) 15h 15 min

(C) 15 h 24 min

(D) 15h 29 min

(E) 15 h 31 min





eacute igual a

(A) 125ordm

(B) 115ordm

(C) 110ordm

(D) 135ordm

(E) 130ordm






00000000000

00000000000 - DEMO




(A) 2

7

(B) 5

21

(C) 10

21

(D) 2

49

(E) 10

49









(A) 040

(B) 036

(C) 032

(D) 030

(E) 028









00000000000

00000000000 - DEMO




(A) 1

2

(B) 2

3

(C) 12

35

(D) 8

15

(E) 10

21











(A) R$ 7200000

(B) R$ 8250000

(C) R$ 9400000

(D) R$ 11250000

(E) R$ 12000000







00000000000

00000000000 - DEMO




(A) 3

(B) 6

(C) 4

(D) 5

(E) 7








(A) 23

(B) 78

(C) 14

(D) 38

(E) 98











(D) igual a 8

(E) maior que 13

00000000000

00000000000 - DEMO








(A) 126

(B) 135

(C) 144

(D) 162

(E) 153







(A) 5

(B) 6

(C) 4

(D) 7

(E) 3



00000000000

00000000000 - DEMO










(A) 128

(B) 130

(C) 137

(D) 140

(E) 145










(A) 33

(B) 19

(C) 24

00000000000

00000000000 - DEMO




(D) 15

(E) 23










(A) 58

(B) 65

(C) 76

(D) 53

(E) 95









(A) 36

(B) 54

(C) 58

(D) 56

(E) 48

00000000000

00000000000 - DEMO








(A) 64

(B) 48

(C) 36

(D) 24

(E) 16









00000000000

00000000000 - DEMO











igual a n













retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2






A) 2

B) 4

C) 5

D) 8

E) 10






A) 98

B) 112

C) 26

00000000000

00000000000 - DEMO




D) 66

E) 82





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800




A) 6

B) 9

C) 12

D) 16

E) 25







de

A) 15 dias

B) 16 dias

00000000000

00000000000 - DEMO




C) 18 dias

D) 20 dias

E) 24 dias








A) 36

B) 72

C) 144

D) 216

E) 432



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

00000000000

00000000000 - DEMO








2 141

Entatildeo













a) 10

b) 11

c) 15

d) 16

e) 24

00000000000

00000000000 - DEMO







mm do ponto A


(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

00000000000

00000000000 - DEMO




01 D 02 A 03 B 04 D 05 C 06 A 07 C

08 B 09 C 10 D 11 E 12 E 13 D 14 C

15 A 16 D 17 B 18 D 19 B 20 A 21 C

22 B 23 E 24 E 25 B 26 B 27 A 28 CEE

29 CCEC 30 D 31 C 32 D 33 A 34 B 35 A

36 E 37 B 38 B 39 B 40 E

00000000000

00000000000 - DEMO







A) 6

B) 9

C) 12

D) 16

E) 25

RESOLUCcedilAtildeO




L = V ndash C






L = V ndash C

12 = V ndash 40

V = 52 reais






reais) Assim

L = V ndash C

-3 = V ndash 60

V = 57 reais



00000000000

00000000000 - DEMO








de 9

RESPOSTA B







de

A) 15 dias

B) 16 dias

C) 18 dias

D) 20 dias

E) 24 dias

RESOLUCcedilAtildeO





trabalho

15 7200 8

15 ndash 3 18000-7200 X

00000000000

00000000000 - DEMO








trabalho

15 7200 8

12 10800 X



trabalho

12 7200 8

15 10800 X


8 12 7200

15 10800

15

X

X dias

RESPOSTA A






00000000000

00000000000 - DEMO






A) 36

B) 72

C) 144

D) 216

E) 432

RESOLUCcedilAtildeO








3 a 3 C(43) = 4





classificado






00000000000

00000000000 - DEMO





fazendo 7 pontos

RESPOSTA E



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

RESOLUCcedilAtildeO




30 18 3

n 80 4







30 18 4

n 80 3


00000000000

00000000000 - DEMO




30 18 4

80 3n


30 18 4

80 3

30 80 3 18 4

30 80 3100

18 4

n

n

n


dias

RESPOSTA B





2 141

Entatildeo






RESOLUCcedilAtildeO

00000000000

00000000000 - DEMO







2520 metros



abaixo



90 90D

2 22 90D

22 90D

90 2D


90 141 1269D




RESPOSTA B



00000000000

00000000000 - DEMO









a) 10

b) 11

c) 15

d) 16

e) 24

RESOLUCcedilAtildeO














RESPOSTA B




mm do ponto A

00000000000

00000000000 - DEMO





(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

RESOLUCcedilAtildeO




AD = AB + BC + CD = 658


BD = BC + CD = 419


AC = AB + BC = 487


que

AB + BC + CD = 658

BC + CD = 419

Logo

AB + 419 = 658

AB = 239mm


AB + BC + CD = 658

AB + BC = 487

00000000000

00000000000 - DEMO




Logo

487 + CD = 658

CD = 171mm

Assim

AB + BC + CD = 658

239 + BC + 171 = 658

BC = 248mm

RESPOSTA E


Abraccedilo

Prof Arthur Lima

Periscope ARTHURRRL


00000000000 - DEMO



















a) 78

b) 76

c) 74

d) 72






00000000000

00000000000 - DEMO





em reais












a

a) 14

b) 18

c) 22

d) 28





a) 120

b) 240

c) 360

d) 480




00000000000

00000000000 - DEMO






(A) 90

(B) 84

(C) 82

(D) 80

(E) 78







a) 6

b) 7

c) 10

d) 14







(A) 3572200

(B) 820000

(C) 357720

(D) 35772

(E) 33220

00000000000

00000000000 - DEMO






a) 80

b) 100

c) 75

d) 25

e) 108








(A) 15

(B) 16

(C) 17

(D) 18

(E) 19





gramas a

(A) 338

(B) 208

(C) 200

(D) 182

(E) 220

00000000000

00000000000 - DEMO









(A) 15h 4 min

(B) 15h 15 min

(C) 15 h 24 min

(D) 15h 29 min

(E) 15 h 31 min





eacute igual a

(A) 125ordm

(B) 115ordm

(C) 110ordm

(D) 135ordm

(E) 130ordm






00000000000

00000000000 - DEMO




(A) 2

7

(B) 5

21

(C) 10

21

(D) 2

49

(E) 10

49









(A) 040

(B) 036

(C) 032

(D) 030

(E) 028









00000000000

00000000000 - DEMO




(A) 1

2

(B) 2

3

(C) 12

35

(D) 8

15

(E) 10

21











(A) R$ 7200000

(B) R$ 8250000

(C) R$ 9400000

(D) R$ 11250000

(E) R$ 12000000







00000000000

00000000000 - DEMO




(A) 3

(B) 6

(C) 4

(D) 5

(E) 7








(A) 23

(B) 78

(C) 14

(D) 38

(E) 98











(D) igual a 8

(E) maior que 13

00000000000

00000000000 - DEMO








(A) 126

(B) 135

(C) 144

(D) 162

(E) 153







(A) 5

(B) 6

(C) 4

(D) 7

(E) 3



00000000000

00000000000 - DEMO










(A) 128

(B) 130

(C) 137

(D) 140

(E) 145










(A) 33

(B) 19

(C) 24

00000000000

00000000000 - DEMO




(D) 15

(E) 23










(A) 58

(B) 65

(C) 76

(D) 53

(E) 95









(A) 36

(B) 54

(C) 58

(D) 56

(E) 48

00000000000

00000000000 - DEMO








(A) 64

(B) 48

(C) 36

(D) 24

(E) 16









00000000000

00000000000 - DEMO











igual a n













retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2






A) 2

B) 4

C) 5

D) 8

E) 10






A) 98

B) 112

C) 26

00000000000

00000000000 - DEMO




D) 66

E) 82





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800




A) 6

B) 9

C) 12

D) 16

E) 25







de

A) 15 dias

B) 16 dias

00000000000

00000000000 - DEMO




C) 18 dias

D) 20 dias

E) 24 dias








A) 36

B) 72

C) 144

D) 216

E) 432



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

00000000000

00000000000 - DEMO








2 141

Entatildeo













a) 10

b) 11

c) 15

d) 16

e) 24

00000000000

00000000000 - DEMO







mm do ponto A


(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

00000000000

00000000000 - DEMO




01 D 02 A 03 B 04 D 05 C 06 A 07 C

08 B 09 C 10 D 11 E 12 E 13 D 14 C

15 A 16 D 17 B 18 D 19 B 20 A 21 C

22 B 23 E 24 E 25 B 26 B 27 A 28 CEE

29 CCEC 30 D 31 C 32 D 33 A 34 B 35 A

36 E 37 B 38 B 39 B 40 E

00000000000

00000000000 - DEMO








de 9

RESPOSTA B







de

A) 15 dias

B) 16 dias

C) 18 dias

D) 20 dias

E) 24 dias

RESOLUCcedilAtildeO





trabalho

15 7200 8

15 ndash 3 18000-7200 X

00000000000

00000000000 - DEMO








trabalho

15 7200 8

12 10800 X



trabalho

12 7200 8

15 10800 X


8 12 7200

15 10800

15

X

X dias

RESPOSTA A






00000000000

00000000000 - DEMO






A) 36

B) 72

C) 144

D) 216

E) 432

RESOLUCcedilAtildeO








3 a 3 C(43) = 4





classificado






00000000000

00000000000 - DEMO





fazendo 7 pontos

RESPOSTA E



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

RESOLUCcedilAtildeO




30 18 3

n 80 4







30 18 4

n 80 3


00000000000

00000000000 - DEMO




30 18 4

80 3n


30 18 4

80 3

30 80 3 18 4

30 80 3100

18 4

n

n

n


dias

RESPOSTA B





2 141

Entatildeo






RESOLUCcedilAtildeO

00000000000

00000000000 - DEMO







2520 metros



abaixo



90 90D

2 22 90D

22 90D

90 2D


90 141 1269D




RESPOSTA B



00000000000

00000000000 - DEMO









a) 10

b) 11

c) 15

d) 16

e) 24

RESOLUCcedilAtildeO














RESPOSTA B




mm do ponto A

00000000000

00000000000 - DEMO





(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

RESOLUCcedilAtildeO




AD = AB + BC + CD = 658


BD = BC + CD = 419


AC = AB + BC = 487


que

AB + BC + CD = 658

BC + CD = 419

Logo

AB + 419 = 658

AB = 239mm


AB + BC + CD = 658

AB + BC = 487

00000000000

00000000000 - DEMO




Logo

487 + CD = 658

CD = 171mm

Assim

AB + BC + CD = 658

239 + BC + 171 = 658

BC = 248mm

RESPOSTA E


Abraccedilo

Prof Arthur Lima

Periscope ARTHURRRL


00000000000 - DEMO



















a) 78

b) 76

c) 74

d) 72






00000000000

00000000000 - DEMO





em reais












a

a) 14

b) 18

c) 22

d) 28





a) 120

b) 240

c) 360

d) 480




00000000000

00000000000 - DEMO






(A) 90

(B) 84

(C) 82

(D) 80

(E) 78







a) 6

b) 7

c) 10

d) 14







(A) 3572200

(B) 820000

(C) 357720

(D) 35772

(E) 33220

00000000000

00000000000 - DEMO






a) 80

b) 100

c) 75

d) 25

e) 108








(A) 15

(B) 16

(C) 17

(D) 18

(E) 19





gramas a

(A) 338

(B) 208

(C) 200

(D) 182

(E) 220

00000000000

00000000000 - DEMO









(A) 15h 4 min

(B) 15h 15 min

(C) 15 h 24 min

(D) 15h 29 min

(E) 15 h 31 min





eacute igual a

(A) 125ordm

(B) 115ordm

(C) 110ordm

(D) 135ordm

(E) 130ordm






00000000000

00000000000 - DEMO




(A) 2

7

(B) 5

21

(C) 10

21

(D) 2

49

(E) 10

49









(A) 040

(B) 036

(C) 032

(D) 030

(E) 028









00000000000

00000000000 - DEMO




(A) 1

2

(B) 2

3

(C) 12

35

(D) 8

15

(E) 10

21











(A) R$ 7200000

(B) R$ 8250000

(C) R$ 9400000

(D) R$ 11250000

(E) R$ 12000000







00000000000

00000000000 - DEMO




(A) 3

(B) 6

(C) 4

(D) 5

(E) 7








(A) 23

(B) 78

(C) 14

(D) 38

(E) 98











(D) igual a 8

(E) maior que 13

00000000000

00000000000 - DEMO








(A) 126

(B) 135

(C) 144

(D) 162

(E) 153







(A) 5

(B) 6

(C) 4

(D) 7

(E) 3



00000000000

00000000000 - DEMO










(A) 128

(B) 130

(C) 137

(D) 140

(E) 145










(A) 33

(B) 19

(C) 24

00000000000

00000000000 - DEMO




(D) 15

(E) 23










(A) 58

(B) 65

(C) 76

(D) 53

(E) 95









(A) 36

(B) 54

(C) 58

(D) 56

(E) 48

00000000000

00000000000 - DEMO








(A) 64

(B) 48

(C) 36

(D) 24

(E) 16









00000000000

00000000000 - DEMO











igual a n













retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2






A) 2

B) 4

C) 5

D) 8

E) 10






A) 98

B) 112

C) 26

00000000000

00000000000 - DEMO




D) 66

E) 82





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800




A) 6

B) 9

C) 12

D) 16

E) 25







de

A) 15 dias

B) 16 dias

00000000000

00000000000 - DEMO




C) 18 dias

D) 20 dias

E) 24 dias








A) 36

B) 72

C) 144

D) 216

E) 432



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

00000000000

00000000000 - DEMO








2 141

Entatildeo













a) 10

b) 11

c) 15

d) 16

e) 24

00000000000

00000000000 - DEMO







mm do ponto A


(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

00000000000

00000000000 - DEMO




01 D 02 A 03 B 04 D 05 C 06 A 07 C

08 B 09 C 10 D 11 E 12 E 13 D 14 C

15 A 16 D 17 B 18 D 19 B 20 A 21 C

22 B 23 E 24 E 25 B 26 B 27 A 28 CEE

29 CCEC 30 D 31 C 32 D 33 A 34 B 35 A

36 E 37 B 38 B 39 B 40 E

00000000000

00000000000 - DEMO








trabalho

15 7200 8

12 10800 X



trabalho

12 7200 8

15 10800 X


8 12 7200

15 10800

15

X

X dias

RESPOSTA A






00000000000

00000000000 - DEMO






A) 36

B) 72

C) 144

D) 216

E) 432

RESOLUCcedilAtildeO








3 a 3 C(43) = 4





classificado






00000000000

00000000000 - DEMO





fazendo 7 pontos

RESPOSTA E



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

RESOLUCcedilAtildeO




30 18 3

n 80 4







30 18 4

n 80 3


00000000000

00000000000 - DEMO




30 18 4

80 3n


30 18 4

80 3

30 80 3 18 4

30 80 3100

18 4

n

n

n


dias

RESPOSTA B





2 141

Entatildeo






RESOLUCcedilAtildeO

00000000000

00000000000 - DEMO







2520 metros



abaixo



90 90D

2 22 90D

22 90D

90 2D


90 141 1269D




RESPOSTA B



00000000000

00000000000 - DEMO









a) 10

b) 11

c) 15

d) 16

e) 24

RESOLUCcedilAtildeO














RESPOSTA B




mm do ponto A

00000000000

00000000000 - DEMO





(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

RESOLUCcedilAtildeO




AD = AB + BC + CD = 658


BD = BC + CD = 419


AC = AB + BC = 487


que

AB + BC + CD = 658

BC + CD = 419

Logo

AB + 419 = 658

AB = 239mm


AB + BC + CD = 658

AB + BC = 487

00000000000

00000000000 - DEMO




Logo

487 + CD = 658

CD = 171mm

Assim

AB + BC + CD = 658

239 + BC + 171 = 658

BC = 248mm

RESPOSTA E


Abraccedilo

Prof Arthur Lima

Periscope ARTHURRRL


00000000000 - DEMO



















a) 78

b) 76

c) 74

d) 72






00000000000

00000000000 - DEMO





em reais












a

a) 14

b) 18

c) 22

d) 28





a) 120

b) 240

c) 360

d) 480




00000000000

00000000000 - DEMO






(A) 90

(B) 84

(C) 82

(D) 80

(E) 78







a) 6

b) 7

c) 10

d) 14







(A) 3572200

(B) 820000

(C) 357720

(D) 35772

(E) 33220

00000000000

00000000000 - DEMO






a) 80

b) 100

c) 75

d) 25

e) 108








(A) 15

(B) 16

(C) 17

(D) 18

(E) 19





gramas a

(A) 338

(B) 208

(C) 200

(D) 182

(E) 220

00000000000

00000000000 - DEMO









(A) 15h 4 min

(B) 15h 15 min

(C) 15 h 24 min

(D) 15h 29 min

(E) 15 h 31 min





eacute igual a

(A) 125ordm

(B) 115ordm

(C) 110ordm

(D) 135ordm

(E) 130ordm






00000000000

00000000000 - DEMO




(A) 2

7

(B) 5

21

(C) 10

21

(D) 2

49

(E) 10

49









(A) 040

(B) 036

(C) 032

(D) 030

(E) 028









00000000000

00000000000 - DEMO




(A) 1

2

(B) 2

3

(C) 12

35

(D) 8

15

(E) 10

21











(A) R$ 7200000

(B) R$ 8250000

(C) R$ 9400000

(D) R$ 11250000

(E) R$ 12000000







00000000000

00000000000 - DEMO




(A) 3

(B) 6

(C) 4

(D) 5

(E) 7








(A) 23

(B) 78

(C) 14

(D) 38

(E) 98











(D) igual a 8

(E) maior que 13

00000000000

00000000000 - DEMO








(A) 126

(B) 135

(C) 144

(D) 162

(E) 153







(A) 5

(B) 6

(C) 4

(D) 7

(E) 3



00000000000

00000000000 - DEMO










(A) 128

(B) 130

(C) 137

(D) 140

(E) 145










(A) 33

(B) 19

(C) 24

00000000000

00000000000 - DEMO




(D) 15

(E) 23










(A) 58

(B) 65

(C) 76

(D) 53

(E) 95









(A) 36

(B) 54

(C) 58

(D) 56

(E) 48

00000000000

00000000000 - DEMO








(A) 64

(B) 48

(C) 36

(D) 24

(E) 16









00000000000

00000000000 - DEMO











igual a n













retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2






A) 2

B) 4

C) 5

D) 8

E) 10






A) 98

B) 112

C) 26

00000000000

00000000000 - DEMO




D) 66

E) 82





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800




A) 6

B) 9

C) 12

D) 16

E) 25







de

A) 15 dias

B) 16 dias

00000000000

00000000000 - DEMO




C) 18 dias

D) 20 dias

E) 24 dias








A) 36

B) 72

C) 144

D) 216

E) 432



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

00000000000

00000000000 - DEMO








2 141

Entatildeo













a) 10

b) 11

c) 15

d) 16

e) 24

00000000000

00000000000 - DEMO







mm do ponto A


(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

00000000000

00000000000 - DEMO




01 D 02 A 03 B 04 D 05 C 06 A 07 C

08 B 09 C 10 D 11 E 12 E 13 D 14 C

15 A 16 D 17 B 18 D 19 B 20 A 21 C

22 B 23 E 24 E 25 B 26 B 27 A 28 CEE

29 CCEC 30 D 31 C 32 D 33 A 34 B 35 A

36 E 37 B 38 B 39 B 40 E

00000000000

00000000000 - DEMO






A) 36

B) 72

C) 144

D) 216

E) 432

RESOLUCcedilAtildeO








3 a 3 C(43) = 4





classificado






00000000000

00000000000 - DEMO





fazendo 7 pontos

RESPOSTA E



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

RESOLUCcedilAtildeO




30 18 3

n 80 4







30 18 4

n 80 3


00000000000

00000000000 - DEMO




30 18 4

80 3n


30 18 4

80 3

30 80 3 18 4

30 80 3100

18 4

n

n

n


dias

RESPOSTA B





2 141

Entatildeo






RESOLUCcedilAtildeO

00000000000

00000000000 - DEMO







2520 metros



abaixo



90 90D

2 22 90D

22 90D

90 2D


90 141 1269D




RESPOSTA B



00000000000

00000000000 - DEMO









a) 10

b) 11

c) 15

d) 16

e) 24

RESOLUCcedilAtildeO














RESPOSTA B




mm do ponto A

00000000000

00000000000 - DEMO





(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

RESOLUCcedilAtildeO




AD = AB + BC + CD = 658


BD = BC + CD = 419


AC = AB + BC = 487


que

AB + BC + CD = 658

BC + CD = 419

Logo

AB + 419 = 658

AB = 239mm


AB + BC + CD = 658

AB + BC = 487

00000000000

00000000000 - DEMO




Logo

487 + CD = 658

CD = 171mm

Assim

AB + BC + CD = 658

239 + BC + 171 = 658

BC = 248mm

RESPOSTA E


Abraccedilo

Prof Arthur Lima

Periscope ARTHURRRL


00000000000 - DEMO



















a) 78

b) 76

c) 74

d) 72






00000000000

00000000000 - DEMO





em reais












a

a) 14

b) 18

c) 22

d) 28





a) 120

b) 240

c) 360

d) 480




00000000000

00000000000 - DEMO






(A) 90

(B) 84

(C) 82

(D) 80

(E) 78







a) 6

b) 7

c) 10

d) 14







(A) 3572200

(B) 820000

(C) 357720

(D) 35772

(E) 33220

00000000000

00000000000 - DEMO






a) 80

b) 100

c) 75

d) 25

e) 108








(A) 15

(B) 16

(C) 17

(D) 18

(E) 19





gramas a

(A) 338

(B) 208

(C) 200

(D) 182

(E) 220

00000000000

00000000000 - DEMO









(A) 15h 4 min

(B) 15h 15 min

(C) 15 h 24 min

(D) 15h 29 min

(E) 15 h 31 min





eacute igual a

(A) 125ordm

(B) 115ordm

(C) 110ordm

(D) 135ordm

(E) 130ordm






00000000000

00000000000 - DEMO




(A) 2

7

(B) 5

21

(C) 10

21

(D) 2

49

(E) 10

49









(A) 040

(B) 036

(C) 032

(D) 030

(E) 028









00000000000

00000000000 - DEMO




(A) 1

2

(B) 2

3

(C) 12

35

(D) 8

15

(E) 10

21











(A) R$ 7200000

(B) R$ 8250000

(C) R$ 9400000

(D) R$ 11250000

(E) R$ 12000000







00000000000

00000000000 - DEMO




(A) 3

(B) 6

(C) 4

(D) 5

(E) 7








(A) 23

(B) 78

(C) 14

(D) 38

(E) 98











(D) igual a 8

(E) maior que 13

00000000000

00000000000 - DEMO








(A) 126

(B) 135

(C) 144

(D) 162

(E) 153







(A) 5

(B) 6

(C) 4

(D) 7

(E) 3



00000000000

00000000000 - DEMO










(A) 128

(B) 130

(C) 137

(D) 140

(E) 145










(A) 33

(B) 19

(C) 24

00000000000

00000000000 - DEMO




(D) 15

(E) 23










(A) 58

(B) 65

(C) 76

(D) 53

(E) 95









(A) 36

(B) 54

(C) 58

(D) 56

(E) 48

00000000000

00000000000 - DEMO








(A) 64

(B) 48

(C) 36

(D) 24

(E) 16









00000000000

00000000000 - DEMO











igual a n













retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2






A) 2

B) 4

C) 5

D) 8

E) 10






A) 98

B) 112

C) 26

00000000000

00000000000 - DEMO




D) 66

E) 82





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800




A) 6

B) 9

C) 12

D) 16

E) 25







de

A) 15 dias

B) 16 dias

00000000000

00000000000 - DEMO




C) 18 dias

D) 20 dias

E) 24 dias








A) 36

B) 72

C) 144

D) 216

E) 432



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

00000000000

00000000000 - DEMO








2 141

Entatildeo













a) 10

b) 11

c) 15

d) 16

e) 24

00000000000

00000000000 - DEMO







mm do ponto A


(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

00000000000

00000000000 - DEMO




01 D 02 A 03 B 04 D 05 C 06 A 07 C

08 B 09 C 10 D 11 E 12 E 13 D 14 C

15 A 16 D 17 B 18 D 19 B 20 A 21 C

22 B 23 E 24 E 25 B 26 B 27 A 28 CEE

29 CCEC 30 D 31 C 32 D 33 A 34 B 35 A

36 E 37 B 38 B 39 B 40 E

00000000000

00000000000 - DEMO





fazendo 7 pontos

RESPOSTA E



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

RESOLUCcedilAtildeO




30 18 3

n 80 4







30 18 4

n 80 3


00000000000

00000000000 - DEMO




30 18 4

80 3n


30 18 4

80 3

30 80 3 18 4

30 80 3100

18 4

n

n

n


dias

RESPOSTA B





2 141

Entatildeo






RESOLUCcedilAtildeO

00000000000

00000000000 - DEMO







2520 metros



abaixo



90 90D

2 22 90D

22 90D

90 2D


90 141 1269D




RESPOSTA B



00000000000

00000000000 - DEMO









a) 10

b) 11

c) 15

d) 16

e) 24

RESOLUCcedilAtildeO














RESPOSTA B




mm do ponto A

00000000000

00000000000 - DEMO





(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

RESOLUCcedilAtildeO




AD = AB + BC + CD = 658


BD = BC + CD = 419


AC = AB + BC = 487


que

AB + BC + CD = 658

BC + CD = 419

Logo

AB + 419 = 658

AB = 239mm


AB + BC + CD = 658

AB + BC = 487

00000000000

00000000000 - DEMO




Logo

487 + CD = 658

CD = 171mm

Assim

AB + BC + CD = 658

239 + BC + 171 = 658

BC = 248mm

RESPOSTA E


Abraccedilo

Prof Arthur Lima

Periscope ARTHURRRL


00000000000 - DEMO



















a) 78

b) 76

c) 74

d) 72






00000000000

00000000000 - DEMO





em reais












a

a) 14

b) 18

c) 22

d) 28





a) 120

b) 240

c) 360

d) 480




00000000000

00000000000 - DEMO






(A) 90

(B) 84

(C) 82

(D) 80

(E) 78







a) 6

b) 7

c) 10

d) 14







(A) 3572200

(B) 820000

(C) 357720

(D) 35772

(E) 33220

00000000000

00000000000 - DEMO






a) 80

b) 100

c) 75

d) 25

e) 108








(A) 15

(B) 16

(C) 17

(D) 18

(E) 19





gramas a

(A) 338

(B) 208

(C) 200

(D) 182

(E) 220

00000000000

00000000000 - DEMO









(A) 15h 4 min

(B) 15h 15 min

(C) 15 h 24 min

(D) 15h 29 min

(E) 15 h 31 min





eacute igual a

(A) 125ordm

(B) 115ordm

(C) 110ordm

(D) 135ordm

(E) 130ordm






00000000000

00000000000 - DEMO




(A) 2

7

(B) 5

21

(C) 10

21

(D) 2

49

(E) 10

49









(A) 040

(B) 036

(C) 032

(D) 030

(E) 028









00000000000

00000000000 - DEMO




(A) 1

2

(B) 2

3

(C) 12

35

(D) 8

15

(E) 10

21











(A) R$ 7200000

(B) R$ 8250000

(C) R$ 9400000

(D) R$ 11250000

(E) R$ 12000000







00000000000

00000000000 - DEMO




(A) 3

(B) 6

(C) 4

(D) 5

(E) 7








(A) 23

(B) 78

(C) 14

(D) 38

(E) 98











(D) igual a 8

(E) maior que 13

00000000000

00000000000 - DEMO








(A) 126

(B) 135

(C) 144

(D) 162

(E) 153







(A) 5

(B) 6

(C) 4

(D) 7

(E) 3



00000000000

00000000000 - DEMO










(A) 128

(B) 130

(C) 137

(D) 140

(E) 145










(A) 33

(B) 19

(C) 24

00000000000

00000000000 - DEMO




(D) 15

(E) 23










(A) 58

(B) 65

(C) 76

(D) 53

(E) 95









(A) 36

(B) 54

(C) 58

(D) 56

(E) 48

00000000000

00000000000 - DEMO








(A) 64

(B) 48

(C) 36

(D) 24

(E) 16









00000000000

00000000000 - DEMO











igual a n













retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2






A) 2

B) 4

C) 5

D) 8

E) 10






A) 98

B) 112

C) 26

00000000000

00000000000 - DEMO




D) 66

E) 82





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800




A) 6

B) 9

C) 12

D) 16

E) 25







de

A) 15 dias

B) 16 dias

00000000000

00000000000 - DEMO




C) 18 dias

D) 20 dias

E) 24 dias








A) 36

B) 72

C) 144

D) 216

E) 432



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

00000000000

00000000000 - DEMO








2 141

Entatildeo













a) 10

b) 11

c) 15

d) 16

e) 24

00000000000

00000000000 - DEMO







mm do ponto A


(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

00000000000

00000000000 - DEMO




01 D 02 A 03 B 04 D 05 C 06 A 07 C

08 B 09 C 10 D 11 E 12 E 13 D 14 C

15 A 16 D 17 B 18 D 19 B 20 A 21 C

22 B 23 E 24 E 25 B 26 B 27 A 28 CEE

29 CCEC 30 D 31 C 32 D 33 A 34 B 35 A

36 E 37 B 38 B 39 B 40 E

00000000000

00000000000 - DEMO




30 18 4

80 3n


30 18 4

80 3

30 80 3 18 4

30 80 3100

18 4

n

n

n


dias

RESPOSTA B





2 141

Entatildeo






RESOLUCcedilAtildeO

00000000000

00000000000 - DEMO







2520 metros



abaixo



90 90D

2 22 90D

22 90D

90 2D


90 141 1269D




RESPOSTA B



00000000000

00000000000 - DEMO









a) 10

b) 11

c) 15

d) 16

e) 24

RESOLUCcedilAtildeO














RESPOSTA B




mm do ponto A

00000000000

00000000000 - DEMO





(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

RESOLUCcedilAtildeO




AD = AB + BC + CD = 658


BD = BC + CD = 419


AC = AB + BC = 487


que

AB + BC + CD = 658

BC + CD = 419

Logo

AB + 419 = 658

AB = 239mm


AB + BC + CD = 658

AB + BC = 487

00000000000

00000000000 - DEMO




Logo

487 + CD = 658

CD = 171mm

Assim

AB + BC + CD = 658

239 + BC + 171 = 658

BC = 248mm

RESPOSTA E


Abraccedilo

Prof Arthur Lima

Periscope ARTHURRRL


00000000000 - DEMO



















a) 78

b) 76

c) 74

d) 72






00000000000

00000000000 - DEMO





em reais












a

a) 14

b) 18

c) 22

d) 28





a) 120

b) 240

c) 360

d) 480




00000000000

00000000000 - DEMO






(A) 90

(B) 84

(C) 82

(D) 80

(E) 78







a) 6

b) 7

c) 10

d) 14







(A) 3572200

(B) 820000

(C) 357720

(D) 35772

(E) 33220

00000000000

00000000000 - DEMO






a) 80

b) 100

c) 75

d) 25

e) 108








(A) 15

(B) 16

(C) 17

(D) 18

(E) 19





gramas a

(A) 338

(B) 208

(C) 200

(D) 182

(E) 220

00000000000

00000000000 - DEMO









(A) 15h 4 min

(B) 15h 15 min

(C) 15 h 24 min

(D) 15h 29 min

(E) 15 h 31 min





eacute igual a

(A) 125ordm

(B) 115ordm

(C) 110ordm

(D) 135ordm

(E) 130ordm






00000000000

00000000000 - DEMO




(A) 2

7

(B) 5

21

(C) 10

21

(D) 2

49

(E) 10

49









(A) 040

(B) 036

(C) 032

(D) 030

(E) 028









00000000000

00000000000 - DEMO




(A) 1

2

(B) 2

3

(C) 12

35

(D) 8

15

(E) 10

21











(A) R$ 7200000

(B) R$ 8250000

(C) R$ 9400000

(D) R$ 11250000

(E) R$ 12000000







00000000000

00000000000 - DEMO




(A) 3

(B) 6

(C) 4

(D) 5

(E) 7








(A) 23

(B) 78

(C) 14

(D) 38

(E) 98











(D) igual a 8

(E) maior que 13

00000000000

00000000000 - DEMO








(A) 126

(B) 135

(C) 144

(D) 162

(E) 153







(A) 5

(B) 6

(C) 4

(D) 7

(E) 3



00000000000

00000000000 - DEMO










(A) 128

(B) 130

(C) 137

(D) 140

(E) 145










(A) 33

(B) 19

(C) 24

00000000000

00000000000 - DEMO




(D) 15

(E) 23










(A) 58

(B) 65

(C) 76

(D) 53

(E) 95









(A) 36

(B) 54

(C) 58

(D) 56

(E) 48

00000000000

00000000000 - DEMO








(A) 64

(B) 48

(C) 36

(D) 24

(E) 16









00000000000

00000000000 - DEMO











igual a n













retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2






A) 2

B) 4

C) 5

D) 8

E) 10






A) 98

B) 112

C) 26

00000000000

00000000000 - DEMO




D) 66

E) 82





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800




A) 6

B) 9

C) 12

D) 16

E) 25







de

A) 15 dias

B) 16 dias

00000000000

00000000000 - DEMO




C) 18 dias

D) 20 dias

E) 24 dias








A) 36

B) 72

C) 144

D) 216

E) 432



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

00000000000

00000000000 - DEMO








2 141

Entatildeo













a) 10

b) 11

c) 15

d) 16

e) 24

00000000000

00000000000 - DEMO







mm do ponto A


(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

00000000000

00000000000 - DEMO




01 D 02 A 03 B 04 D 05 C 06 A 07 C

08 B 09 C 10 D 11 E 12 E 13 D 14 C

15 A 16 D 17 B 18 D 19 B 20 A 21 C

22 B 23 E 24 E 25 B 26 B 27 A 28 CEE

29 CCEC 30 D 31 C 32 D 33 A 34 B 35 A

36 E 37 B 38 B 39 B 40 E

00000000000

00000000000 - DEMO







2520 metros



abaixo



90 90D

2 22 90D

22 90D

90 2D


90 141 1269D




RESPOSTA B



00000000000

00000000000 - DEMO









a) 10

b) 11

c) 15

d) 16

e) 24

RESOLUCcedilAtildeO














RESPOSTA B




mm do ponto A

00000000000

00000000000 - DEMO





(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

RESOLUCcedilAtildeO




AD = AB + BC + CD = 658


BD = BC + CD = 419


AC = AB + BC = 487


que

AB + BC + CD = 658

BC + CD = 419

Logo

AB + 419 = 658

AB = 239mm


AB + BC + CD = 658

AB + BC = 487

00000000000

00000000000 - DEMO




Logo

487 + CD = 658

CD = 171mm

Assim

AB + BC + CD = 658

239 + BC + 171 = 658

BC = 248mm

RESPOSTA E


Abraccedilo

Prof Arthur Lima

Periscope ARTHURRRL


00000000000 - DEMO



















a) 78

b) 76

c) 74

d) 72






00000000000

00000000000 - DEMO





em reais












a

a) 14

b) 18

c) 22

d) 28





a) 120

b) 240

c) 360

d) 480




00000000000

00000000000 - DEMO






(A) 90

(B) 84

(C) 82

(D) 80

(E) 78







a) 6

b) 7

c) 10

d) 14







(A) 3572200

(B) 820000

(C) 357720

(D) 35772

(E) 33220

00000000000

00000000000 - DEMO






a) 80

b) 100

c) 75

d) 25

e) 108








(A) 15

(B) 16

(C) 17

(D) 18

(E) 19





gramas a

(A) 338

(B) 208

(C) 200

(D) 182

(E) 220

00000000000

00000000000 - DEMO









(A) 15h 4 min

(B) 15h 15 min

(C) 15 h 24 min

(D) 15h 29 min

(E) 15 h 31 min





eacute igual a

(A) 125ordm

(B) 115ordm

(C) 110ordm

(D) 135ordm

(E) 130ordm






00000000000

00000000000 - DEMO




(A) 2

7

(B) 5

21

(C) 10

21

(D) 2

49

(E) 10

49









(A) 040

(B) 036

(C) 032

(D) 030

(E) 028









00000000000

00000000000 - DEMO




(A) 1

2

(B) 2

3

(C) 12

35

(D) 8

15

(E) 10

21











(A) R$ 7200000

(B) R$ 8250000

(C) R$ 9400000

(D) R$ 11250000

(E) R$ 12000000







00000000000

00000000000 - DEMO




(A) 3

(B) 6

(C) 4

(D) 5

(E) 7








(A) 23

(B) 78

(C) 14

(D) 38

(E) 98











(D) igual a 8

(E) maior que 13

00000000000

00000000000 - DEMO








(A) 126

(B) 135

(C) 144

(D) 162

(E) 153







(A) 5

(B) 6

(C) 4

(D) 7

(E) 3



00000000000

00000000000 - DEMO










(A) 128

(B) 130

(C) 137

(D) 140

(E) 145










(A) 33

(B) 19

(C) 24

00000000000

00000000000 - DEMO




(D) 15

(E) 23










(A) 58

(B) 65

(C) 76

(D) 53

(E) 95









(A) 36

(B) 54

(C) 58

(D) 56

(E) 48

00000000000

00000000000 - DEMO








(A) 64

(B) 48

(C) 36

(D) 24

(E) 16









00000000000

00000000000 - DEMO











igual a n













retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2






A) 2

B) 4

C) 5

D) 8

E) 10






A) 98

B) 112

C) 26

00000000000

00000000000 - DEMO




D) 66

E) 82





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800




A) 6

B) 9

C) 12

D) 16

E) 25







de

A) 15 dias

B) 16 dias

00000000000

00000000000 - DEMO




C) 18 dias

D) 20 dias

E) 24 dias








A) 36

B) 72

C) 144

D) 216

E) 432



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

00000000000

00000000000 - DEMO








2 141

Entatildeo













a) 10

b) 11

c) 15

d) 16

e) 24

00000000000

00000000000 - DEMO







mm do ponto A


(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

00000000000

00000000000 - DEMO




01 D 02 A 03 B 04 D 05 C 06 A 07 C

08 B 09 C 10 D 11 E 12 E 13 D 14 C

15 A 16 D 17 B 18 D 19 B 20 A 21 C

22 B 23 E 24 E 25 B 26 B 27 A 28 CEE

29 CCEC 30 D 31 C 32 D 33 A 34 B 35 A

36 E 37 B 38 B 39 B 40 E

00000000000

00000000000 - DEMO









a) 10

b) 11

c) 15

d) 16

e) 24

RESOLUCcedilAtildeO














RESPOSTA B




mm do ponto A

00000000000

00000000000 - DEMO





(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

RESOLUCcedilAtildeO




AD = AB + BC + CD = 658


BD = BC + CD = 419


AC = AB + BC = 487


que

AB + BC + CD = 658

BC + CD = 419

Logo

AB + 419 = 658

AB = 239mm


AB + BC + CD = 658

AB + BC = 487

00000000000

00000000000 - DEMO




Logo

487 + CD = 658

CD = 171mm

Assim

AB + BC + CD = 658

239 + BC + 171 = 658

BC = 248mm

RESPOSTA E


Abraccedilo

Prof Arthur Lima

Periscope ARTHURRRL


00000000000 - DEMO



















a) 78

b) 76

c) 74

d) 72






00000000000

00000000000 - DEMO





em reais












a

a) 14

b) 18

c) 22

d) 28





a) 120

b) 240

c) 360

d) 480




00000000000

00000000000 - DEMO






(A) 90

(B) 84

(C) 82

(D) 80

(E) 78







a) 6

b) 7

c) 10

d) 14







(A) 3572200

(B) 820000

(C) 357720

(D) 35772

(E) 33220

00000000000

00000000000 - DEMO






a) 80

b) 100

c) 75

d) 25

e) 108








(A) 15

(B) 16

(C) 17

(D) 18

(E) 19





gramas a

(A) 338

(B) 208

(C) 200

(D) 182

(E) 220

00000000000

00000000000 - DEMO









(A) 15h 4 min

(B) 15h 15 min

(C) 15 h 24 min

(D) 15h 29 min

(E) 15 h 31 min





eacute igual a

(A) 125ordm

(B) 115ordm

(C) 110ordm

(D) 135ordm

(E) 130ordm






00000000000

00000000000 - DEMO




(A) 2

7

(B) 5

21

(C) 10

21

(D) 2

49

(E) 10

49









(A) 040

(B) 036

(C) 032

(D) 030

(E) 028









00000000000

00000000000 - DEMO




(A) 1

2

(B) 2

3

(C) 12

35

(D) 8

15

(E) 10

21











(A) R$ 7200000

(B) R$ 8250000

(C) R$ 9400000

(D) R$ 11250000

(E) R$ 12000000







00000000000

00000000000 - DEMO




(A) 3

(B) 6

(C) 4

(D) 5

(E) 7








(A) 23

(B) 78

(C) 14

(D) 38

(E) 98











(D) igual a 8

(E) maior que 13

00000000000

00000000000 - DEMO








(A) 126

(B) 135

(C) 144

(D) 162

(E) 153







(A) 5

(B) 6

(C) 4

(D) 7

(E) 3



00000000000

00000000000 - DEMO










(A) 128

(B) 130

(C) 137

(D) 140

(E) 145










(A) 33

(B) 19

(C) 24

00000000000

00000000000 - DEMO




(D) 15

(E) 23










(A) 58

(B) 65

(C) 76

(D) 53

(E) 95









(A) 36

(B) 54

(C) 58

(D) 56

(E) 48

00000000000

00000000000 - DEMO








(A) 64

(B) 48

(C) 36

(D) 24

(E) 16









00000000000

00000000000 - DEMO











igual a n













retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2






A) 2

B) 4

C) 5

D) 8

E) 10






A) 98

B) 112

C) 26

00000000000

00000000000 - DEMO




D) 66

E) 82





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800




A) 6

B) 9

C) 12

D) 16

E) 25







de

A) 15 dias

B) 16 dias

00000000000

00000000000 - DEMO




C) 18 dias

D) 20 dias

E) 24 dias








A) 36

B) 72

C) 144

D) 216

E) 432



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

00000000000

00000000000 - DEMO








2 141

Entatildeo













a) 10

b) 11

c) 15

d) 16

e) 24

00000000000

00000000000 - DEMO







mm do ponto A


(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

00000000000

00000000000 - DEMO




01 D 02 A 03 B 04 D 05 C 06 A 07 C

08 B 09 C 10 D 11 E 12 E 13 D 14 C

15 A 16 D 17 B 18 D 19 B 20 A 21 C

22 B 23 E 24 E 25 B 26 B 27 A 28 CEE

29 CCEC 30 D 31 C 32 D 33 A 34 B 35 A

36 E 37 B 38 B 39 B 40 E

00000000000

00000000000 - DEMO





(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

RESOLUCcedilAtildeO




AD = AB + BC + CD = 658


BD = BC + CD = 419


AC = AB + BC = 487


que

AB + BC + CD = 658

BC + CD = 419

Logo

AB + 419 = 658

AB = 239mm


AB + BC + CD = 658

AB + BC = 487

00000000000

00000000000 - DEMO




Logo

487 + CD = 658

CD = 171mm

Assim

AB + BC + CD = 658

239 + BC + 171 = 658

BC = 248mm

RESPOSTA E


Abraccedilo

Prof Arthur Lima

Periscope ARTHURRRL


00000000000 - DEMO



















a) 78

b) 76

c) 74

d) 72






00000000000

00000000000 - DEMO





em reais












a

a) 14

b) 18

c) 22

d) 28





a) 120

b) 240

c) 360

d) 480




00000000000

00000000000 - DEMO






(A) 90

(B) 84

(C) 82

(D) 80

(E) 78







a) 6

b) 7

c) 10

d) 14







(A) 3572200

(B) 820000

(C) 357720

(D) 35772

(E) 33220

00000000000

00000000000 - DEMO






a) 80

b) 100

c) 75

d) 25

e) 108








(A) 15

(B) 16

(C) 17

(D) 18

(E) 19





gramas a

(A) 338

(B) 208

(C) 200

(D) 182

(E) 220

00000000000

00000000000 - DEMO









(A) 15h 4 min

(B) 15h 15 min

(C) 15 h 24 min

(D) 15h 29 min

(E) 15 h 31 min





eacute igual a

(A) 125ordm

(B) 115ordm

(C) 110ordm

(D) 135ordm

(E) 130ordm






00000000000

00000000000 - DEMO




(A) 2

7

(B) 5

21

(C) 10

21

(D) 2

49

(E) 10

49









(A) 040

(B) 036

(C) 032

(D) 030

(E) 028









00000000000

00000000000 - DEMO




(A) 1

2

(B) 2

3

(C) 12

35

(D) 8

15

(E) 10

21











(A) R$ 7200000

(B) R$ 8250000

(C) R$ 9400000

(D) R$ 11250000

(E) R$ 12000000







00000000000

00000000000 - DEMO




(A) 3

(B) 6

(C) 4

(D) 5

(E) 7








(A) 23

(B) 78

(C) 14

(D) 38

(E) 98











(D) igual a 8

(E) maior que 13

00000000000

00000000000 - DEMO








(A) 126

(B) 135

(C) 144

(D) 162

(E) 153







(A) 5

(B) 6

(C) 4

(D) 7

(E) 3



00000000000

00000000000 - DEMO










(A) 128

(B) 130

(C) 137

(D) 140

(E) 145










(A) 33

(B) 19

(C) 24

00000000000

00000000000 - DEMO




(D) 15

(E) 23










(A) 58

(B) 65

(C) 76

(D) 53

(E) 95









(A) 36

(B) 54

(C) 58

(D) 56

(E) 48

00000000000

00000000000 - DEMO








(A) 64

(B) 48

(C) 36

(D) 24

(E) 16









00000000000

00000000000 - DEMO











igual a n













retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2






A) 2

B) 4

C) 5

D) 8

E) 10






A) 98

B) 112

C) 26

00000000000

00000000000 - DEMO




D) 66

E) 82





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800




A) 6

B) 9

C) 12

D) 16

E) 25







de

A) 15 dias

B) 16 dias

00000000000

00000000000 - DEMO




C) 18 dias

D) 20 dias

E) 24 dias








A) 36

B) 72

C) 144

D) 216

E) 432



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

00000000000

00000000000 - DEMO








2 141

Entatildeo













a) 10

b) 11

c) 15

d) 16

e) 24

00000000000

00000000000 - DEMO







mm do ponto A


(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

00000000000

00000000000 - DEMO




01 D 02 A 03 B 04 D 05 C 06 A 07 C

08 B 09 C 10 D 11 E 12 E 13 D 14 C

15 A 16 D 17 B 18 D 19 B 20 A 21 C

22 B 23 E 24 E 25 B 26 B 27 A 28 CEE

29 CCEC 30 D 31 C 32 D 33 A 34 B 35 A

36 E 37 B 38 B 39 B 40 E

00000000000

00000000000 - DEMO




Logo

487 + CD = 658

CD = 171mm

Assim

AB + BC + CD = 658

239 + BC + 171 = 658

BC = 248mm

RESPOSTA E


Abraccedilo

Prof Arthur Lima

Periscope ARTHURRRL


00000000000 - DEMO



















a) 78

b) 76

c) 74

d) 72






00000000000

00000000000 - DEMO





em reais












a

a) 14

b) 18

c) 22

d) 28





a) 120

b) 240

c) 360

d) 480




00000000000

00000000000 - DEMO






(A) 90

(B) 84

(C) 82

(D) 80

(E) 78







a) 6

b) 7

c) 10

d) 14







(A) 3572200

(B) 820000

(C) 357720

(D) 35772

(E) 33220

00000000000

00000000000 - DEMO






a) 80

b) 100

c) 75

d) 25

e) 108








(A) 15

(B) 16

(C) 17

(D) 18

(E) 19





gramas a

(A) 338

(B) 208

(C) 200

(D) 182

(E) 220

00000000000

00000000000 - DEMO









(A) 15h 4 min

(B) 15h 15 min

(C) 15 h 24 min

(D) 15h 29 min

(E) 15 h 31 min





eacute igual a

(A) 125ordm

(B) 115ordm

(C) 110ordm

(D) 135ordm

(E) 130ordm






00000000000

00000000000 - DEMO




(A) 2

7

(B) 5

21

(C) 10

21

(D) 2

49

(E) 10

49









(A) 040

(B) 036

(C) 032

(D) 030

(E) 028









00000000000

00000000000 - DEMO




(A) 1

2

(B) 2

3

(C) 12

35

(D) 8

15

(E) 10

21











(A) R$ 7200000

(B) R$ 8250000

(C) R$ 9400000

(D) R$ 11250000

(E) R$ 12000000







00000000000

00000000000 - DEMO




(A) 3

(B) 6

(C) 4

(D) 5

(E) 7








(A) 23

(B) 78

(C) 14

(D) 38

(E) 98











(D) igual a 8

(E) maior que 13

00000000000

00000000000 - DEMO








(A) 126

(B) 135

(C) 144

(D) 162

(E) 153







(A) 5

(B) 6

(C) 4

(D) 7

(E) 3



00000000000

00000000000 - DEMO










(A) 128

(B) 130

(C) 137

(D) 140

(E) 145










(A) 33

(B) 19

(C) 24

00000000000

00000000000 - DEMO




(D) 15

(E) 23










(A) 58

(B) 65

(C) 76

(D) 53

(E) 95









(A) 36

(B) 54

(C) 58

(D) 56

(E) 48

00000000000

00000000000 - DEMO








(A) 64

(B) 48

(C) 36

(D) 24

(E) 16









00000000000

00000000000 - DEMO











igual a n













retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2






A) 2

B) 4

C) 5

D) 8

E) 10






A) 98

B) 112

C) 26

00000000000

00000000000 - DEMO




D) 66

E) 82





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800




A) 6

B) 9

C) 12

D) 16

E) 25







de

A) 15 dias

B) 16 dias

00000000000

00000000000 - DEMO




C) 18 dias

D) 20 dias

E) 24 dias








A) 36

B) 72

C) 144

D) 216

E) 432



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

00000000000

00000000000 - DEMO








2 141

Entatildeo













a) 10

b) 11

c) 15

d) 16

e) 24

00000000000

00000000000 - DEMO







mm do ponto A


(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

00000000000

00000000000 - DEMO




01 D 02 A 03 B 04 D 05 C 06 A 07 C

08 B 09 C 10 D 11 E 12 E 13 D 14 C

15 A 16 D 17 B 18 D 19 B 20 A 21 C

22 B 23 E 24 E 25 B 26 B 27 A 28 CEE

29 CCEC 30 D 31 C 32 D 33 A 34 B 35 A

36 E 37 B 38 B 39 B 40 E

00000000000

00000000000 - DEMO



















a) 78

b) 76

c) 74

d) 72






00000000000

00000000000 - DEMO





em reais












a

a) 14

b) 18

c) 22

d) 28





a) 120

b) 240

c) 360

d) 480




00000000000

00000000000 - DEMO






(A) 90

(B) 84

(C) 82

(D) 80

(E) 78







a) 6

b) 7

c) 10

d) 14







(A) 3572200

(B) 820000

(C) 357720

(D) 35772

(E) 33220

00000000000

00000000000 - DEMO






a) 80

b) 100

c) 75

d) 25

e) 108








(A) 15

(B) 16

(C) 17

(D) 18

(E) 19





gramas a

(A) 338

(B) 208

(C) 200

(D) 182

(E) 220

00000000000

00000000000 - DEMO









(A) 15h 4 min

(B) 15h 15 min

(C) 15 h 24 min

(D) 15h 29 min

(E) 15 h 31 min





eacute igual a

(A) 125ordm

(B) 115ordm

(C) 110ordm

(D) 135ordm

(E) 130ordm






00000000000

00000000000 - DEMO




(A) 2

7

(B) 5

21

(C) 10

21

(D) 2

49

(E) 10

49









(A) 040

(B) 036

(C) 032

(D) 030

(E) 028









00000000000

00000000000 - DEMO




(A) 1

2

(B) 2

3

(C) 12

35

(D) 8

15

(E) 10

21











(A) R$ 7200000

(B) R$ 8250000

(C) R$ 9400000

(D) R$ 11250000

(E) R$ 12000000







00000000000

00000000000 - DEMO




(A) 3

(B) 6

(C) 4

(D) 5

(E) 7








(A) 23

(B) 78

(C) 14

(D) 38

(E) 98











(D) igual a 8

(E) maior que 13

00000000000

00000000000 - DEMO








(A) 126

(B) 135

(C) 144

(D) 162

(E) 153







(A) 5

(B) 6

(C) 4

(D) 7

(E) 3



00000000000

00000000000 - DEMO










(A) 128

(B) 130

(C) 137

(D) 140

(E) 145










(A) 33

(B) 19

(C) 24

00000000000

00000000000 - DEMO




(D) 15

(E) 23










(A) 58

(B) 65

(C) 76

(D) 53

(E) 95









(A) 36

(B) 54

(C) 58

(D) 56

(E) 48

00000000000

00000000000 - DEMO








(A) 64

(B) 48

(C) 36

(D) 24

(E) 16









00000000000

00000000000 - DEMO











igual a n













retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2






A) 2

B) 4

C) 5

D) 8

E) 10






A) 98

B) 112

C) 26

00000000000

00000000000 - DEMO




D) 66

E) 82





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800




A) 6

B) 9

C) 12

D) 16

E) 25







de

A) 15 dias

B) 16 dias

00000000000

00000000000 - DEMO




C) 18 dias

D) 20 dias

E) 24 dias








A) 36

B) 72

C) 144

D) 216

E) 432



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

00000000000

00000000000 - DEMO








2 141

Entatildeo













a) 10

b) 11

c) 15

d) 16

e) 24

00000000000

00000000000 - DEMO







mm do ponto A


(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

00000000000

00000000000 - DEMO




01 D 02 A 03 B 04 D 05 C 06 A 07 C

08 B 09 C 10 D 11 E 12 E 13 D 14 C

15 A 16 D 17 B 18 D 19 B 20 A 21 C

22 B 23 E 24 E 25 B 26 B 27 A 28 CEE

29 CCEC 30 D 31 C 32 D 33 A 34 B 35 A

36 E 37 B 38 B 39 B 40 E

00000000000

00000000000 - DEMO





em reais












a

a) 14

b) 18

c) 22

d) 28





a) 120

b) 240

c) 360

d) 480




00000000000

00000000000 - DEMO






(A) 90

(B) 84

(C) 82

(D) 80

(E) 78







a) 6

b) 7

c) 10

d) 14







(A) 3572200

(B) 820000

(C) 357720

(D) 35772

(E) 33220

00000000000

00000000000 - DEMO






a) 80

b) 100

c) 75

d) 25

e) 108








(A) 15

(B) 16

(C) 17

(D) 18

(E) 19





gramas a

(A) 338

(B) 208

(C) 200

(D) 182

(E) 220

00000000000

00000000000 - DEMO









(A) 15h 4 min

(B) 15h 15 min

(C) 15 h 24 min

(D) 15h 29 min

(E) 15 h 31 min





eacute igual a

(A) 125ordm

(B) 115ordm

(C) 110ordm

(D) 135ordm

(E) 130ordm






00000000000

00000000000 - DEMO




(A) 2

7

(B) 5

21

(C) 10

21

(D) 2

49

(E) 10

49









(A) 040

(B) 036

(C) 032

(D) 030

(E) 028









00000000000

00000000000 - DEMO




(A) 1

2

(B) 2

3

(C) 12

35

(D) 8

15

(E) 10

21











(A) R$ 7200000

(B) R$ 8250000

(C) R$ 9400000

(D) R$ 11250000

(E) R$ 12000000







00000000000

00000000000 - DEMO




(A) 3

(B) 6

(C) 4

(D) 5

(E) 7








(A) 23

(B) 78

(C) 14

(D) 38

(E) 98











(D) igual a 8

(E) maior que 13

00000000000

00000000000 - DEMO








(A) 126

(B) 135

(C) 144

(D) 162

(E) 153







(A) 5

(B) 6

(C) 4

(D) 7

(E) 3



00000000000

00000000000 - DEMO










(A) 128

(B) 130

(C) 137

(D) 140

(E) 145










(A) 33

(B) 19

(C) 24

00000000000

00000000000 - DEMO




(D) 15

(E) 23










(A) 58

(B) 65

(C) 76

(D) 53

(E) 95









(A) 36

(B) 54

(C) 58

(D) 56

(E) 48

00000000000

00000000000 - DEMO








(A) 64

(B) 48

(C) 36

(D) 24

(E) 16









00000000000

00000000000 - DEMO











igual a n













retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2






A) 2

B) 4

C) 5

D) 8

E) 10






A) 98

B) 112

C) 26

00000000000

00000000000 - DEMO




D) 66

E) 82





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800




A) 6

B) 9

C) 12

D) 16

E) 25







de

A) 15 dias

B) 16 dias

00000000000

00000000000 - DEMO




C) 18 dias

D) 20 dias

E) 24 dias








A) 36

B) 72

C) 144

D) 216

E) 432



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

00000000000

00000000000 - DEMO








2 141

Entatildeo













a) 10

b) 11

c) 15

d) 16

e) 24

00000000000

00000000000 - DEMO







mm do ponto A


(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

00000000000

00000000000 - DEMO




01 D 02 A 03 B 04 D 05 C 06 A 07 C

08 B 09 C 10 D 11 E 12 E 13 D 14 C

15 A 16 D 17 B 18 D 19 B 20 A 21 C

22 B 23 E 24 E 25 B 26 B 27 A 28 CEE

29 CCEC 30 D 31 C 32 D 33 A 34 B 35 A

36 E 37 B 38 B 39 B 40 E

00000000000

00000000000 - DEMO






(A) 90

(B) 84

(C) 82

(D) 80

(E) 78







a) 6

b) 7

c) 10

d) 14







(A) 3572200

(B) 820000

(C) 357720

(D) 35772

(E) 33220

00000000000

00000000000 - DEMO






a) 80

b) 100

c) 75

d) 25

e) 108








(A) 15

(B) 16

(C) 17

(D) 18

(E) 19





gramas a

(A) 338

(B) 208

(C) 200

(D) 182

(E) 220

00000000000

00000000000 - DEMO









(A) 15h 4 min

(B) 15h 15 min

(C) 15 h 24 min

(D) 15h 29 min

(E) 15 h 31 min





eacute igual a

(A) 125ordm

(B) 115ordm

(C) 110ordm

(D) 135ordm

(E) 130ordm






00000000000

00000000000 - DEMO




(A) 2

7

(B) 5

21

(C) 10

21

(D) 2

49

(E) 10

49









(A) 040

(B) 036

(C) 032

(D) 030

(E) 028









00000000000

00000000000 - DEMO




(A) 1

2

(B) 2

3

(C) 12

35

(D) 8

15

(E) 10

21











(A) R$ 7200000

(B) R$ 8250000

(C) R$ 9400000

(D) R$ 11250000

(E) R$ 12000000







00000000000

00000000000 - DEMO




(A) 3

(B) 6

(C) 4

(D) 5

(E) 7








(A) 23

(B) 78

(C) 14

(D) 38

(E) 98











(D) igual a 8

(E) maior que 13

00000000000

00000000000 - DEMO








(A) 126

(B) 135

(C) 144

(D) 162

(E) 153







(A) 5

(B) 6

(C) 4

(D) 7

(E) 3



00000000000

00000000000 - DEMO










(A) 128

(B) 130

(C) 137

(D) 140

(E) 145










(A) 33

(B) 19

(C) 24

00000000000

00000000000 - DEMO




(D) 15

(E) 23










(A) 58

(B) 65

(C) 76

(D) 53

(E) 95









(A) 36

(B) 54

(C) 58

(D) 56

(E) 48

00000000000

00000000000 - DEMO








(A) 64

(B) 48

(C) 36

(D) 24

(E) 16









00000000000

00000000000 - DEMO











igual a n













retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2






A) 2

B) 4

C) 5

D) 8

E) 10






A) 98

B) 112

C) 26

00000000000

00000000000 - DEMO




D) 66

E) 82





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800




A) 6

B) 9

C) 12

D) 16

E) 25







de

A) 15 dias

B) 16 dias

00000000000

00000000000 - DEMO




C) 18 dias

D) 20 dias

E) 24 dias








A) 36

B) 72

C) 144

D) 216

E) 432



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

00000000000

00000000000 - DEMO








2 141

Entatildeo













a) 10

b) 11

c) 15

d) 16

e) 24

00000000000

00000000000 - DEMO







mm do ponto A


(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

00000000000

00000000000 - DEMO




01 D 02 A 03 B 04 D 05 C 06 A 07 C

08 B 09 C 10 D 11 E 12 E 13 D 14 C

15 A 16 D 17 B 18 D 19 B 20 A 21 C

22 B 23 E 24 E 25 B 26 B 27 A 28 CEE

29 CCEC 30 D 31 C 32 D 33 A 34 B 35 A

36 E 37 B 38 B 39 B 40 E

00000000000

00000000000 - DEMO






a) 80

b) 100

c) 75

d) 25

e) 108








(A) 15

(B) 16

(C) 17

(D) 18

(E) 19





gramas a

(A) 338

(B) 208

(C) 200

(D) 182

(E) 220

00000000000

00000000000 - DEMO









(A) 15h 4 min

(B) 15h 15 min

(C) 15 h 24 min

(D) 15h 29 min

(E) 15 h 31 min





eacute igual a

(A) 125ordm

(B) 115ordm

(C) 110ordm

(D) 135ordm

(E) 130ordm






00000000000

00000000000 - DEMO




(A) 2

7

(B) 5

21

(C) 10

21

(D) 2

49

(E) 10

49









(A) 040

(B) 036

(C) 032

(D) 030

(E) 028









00000000000

00000000000 - DEMO




(A) 1

2

(B) 2

3

(C) 12

35

(D) 8

15

(E) 10

21











(A) R$ 7200000

(B) R$ 8250000

(C) R$ 9400000

(D) R$ 11250000

(E) R$ 12000000







00000000000

00000000000 - DEMO




(A) 3

(B) 6

(C) 4

(D) 5

(E) 7








(A) 23

(B) 78

(C) 14

(D) 38

(E) 98











(D) igual a 8

(E) maior que 13

00000000000

00000000000 - DEMO








(A) 126

(B) 135

(C) 144

(D) 162

(E) 153







(A) 5

(B) 6

(C) 4

(D) 7

(E) 3



00000000000

00000000000 - DEMO










(A) 128

(B) 130

(C) 137

(D) 140

(E) 145










(A) 33

(B) 19

(C) 24

00000000000

00000000000 - DEMO




(D) 15

(E) 23










(A) 58

(B) 65

(C) 76

(D) 53

(E) 95









(A) 36

(B) 54

(C) 58

(D) 56

(E) 48

00000000000

00000000000 - DEMO








(A) 64

(B) 48

(C) 36

(D) 24

(E) 16









00000000000

00000000000 - DEMO











igual a n













retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2






A) 2

B) 4

C) 5

D) 8

E) 10






A) 98

B) 112

C) 26

00000000000

00000000000 - DEMO




D) 66

E) 82





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800




A) 6

B) 9

C) 12

D) 16

E) 25







de

A) 15 dias

B) 16 dias

00000000000

00000000000 - DEMO




C) 18 dias

D) 20 dias

E) 24 dias








A) 36

B) 72

C) 144

D) 216

E) 432



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

00000000000

00000000000 - DEMO








2 141

Entatildeo













a) 10

b) 11

c) 15

d) 16

e) 24

00000000000

00000000000 - DEMO







mm do ponto A


(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

00000000000

00000000000 - DEMO




01 D 02 A 03 B 04 D 05 C 06 A 07 C

08 B 09 C 10 D 11 E 12 E 13 D 14 C

15 A 16 D 17 B 18 D 19 B 20 A 21 C

22 B 23 E 24 E 25 B 26 B 27 A 28 CEE

29 CCEC 30 D 31 C 32 D 33 A 34 B 35 A

36 E 37 B 38 B 39 B 40 E

00000000000

00000000000 - DEMO









(A) 15h 4 min

(B) 15h 15 min

(C) 15 h 24 min

(D) 15h 29 min

(E) 15 h 31 min





eacute igual a

(A) 125ordm

(B) 115ordm

(C) 110ordm

(D) 135ordm

(E) 130ordm






00000000000

00000000000 - DEMO




(A) 2

7

(B) 5

21

(C) 10

21

(D) 2

49

(E) 10

49









(A) 040

(B) 036

(C) 032

(D) 030

(E) 028









00000000000

00000000000 - DEMO




(A) 1

2

(B) 2

3

(C) 12

35

(D) 8

15

(E) 10

21











(A) R$ 7200000

(B) R$ 8250000

(C) R$ 9400000

(D) R$ 11250000

(E) R$ 12000000







00000000000

00000000000 - DEMO




(A) 3

(B) 6

(C) 4

(D) 5

(E) 7








(A) 23

(B) 78

(C) 14

(D) 38

(E) 98











(D) igual a 8

(E) maior que 13

00000000000

00000000000 - DEMO








(A) 126

(B) 135

(C) 144

(D) 162

(E) 153







(A) 5

(B) 6

(C) 4

(D) 7

(E) 3



00000000000

00000000000 - DEMO










(A) 128

(B) 130

(C) 137

(D) 140

(E) 145










(A) 33

(B) 19

(C) 24

00000000000

00000000000 - DEMO




(D) 15

(E) 23










(A) 58

(B) 65

(C) 76

(D) 53

(E) 95









(A) 36

(B) 54

(C) 58

(D) 56

(E) 48

00000000000

00000000000 - DEMO








(A) 64

(B) 48

(C) 36

(D) 24

(E) 16









00000000000

00000000000 - DEMO











igual a n













retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2






A) 2

B) 4

C) 5

D) 8

E) 10






A) 98

B) 112

C) 26

00000000000

00000000000 - DEMO




D) 66

E) 82





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800




A) 6

B) 9

C) 12

D) 16

E) 25







de

A) 15 dias

B) 16 dias

00000000000

00000000000 - DEMO




C) 18 dias

D) 20 dias

E) 24 dias








A) 36

B) 72

C) 144

D) 216

E) 432



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

00000000000

00000000000 - DEMO








2 141

Entatildeo













a) 10

b) 11

c) 15

d) 16

e) 24

00000000000

00000000000 - DEMO







mm do ponto A


(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

00000000000

00000000000 - DEMO




01 D 02 A 03 B 04 D 05 C 06 A 07 C

08 B 09 C 10 D 11 E 12 E 13 D 14 C

15 A 16 D 17 B 18 D 19 B 20 A 21 C

22 B 23 E 24 E 25 B 26 B 27 A 28 CEE

29 CCEC 30 D 31 C 32 D 33 A 34 B 35 A

36 E 37 B 38 B 39 B 40 E

00000000000

00000000000 - DEMO




(A) 2

7

(B) 5

21

(C) 10

21

(D) 2

49

(E) 10

49









(A) 040

(B) 036

(C) 032

(D) 030

(E) 028









00000000000

00000000000 - DEMO




(A) 1

2

(B) 2

3

(C) 12

35

(D) 8

15

(E) 10

21











(A) R$ 7200000

(B) R$ 8250000

(C) R$ 9400000

(D) R$ 11250000

(E) R$ 12000000







00000000000

00000000000 - DEMO




(A) 3

(B) 6

(C) 4

(D) 5

(E) 7








(A) 23

(B) 78

(C) 14

(D) 38

(E) 98











(D) igual a 8

(E) maior que 13

00000000000

00000000000 - DEMO








(A) 126

(B) 135

(C) 144

(D) 162

(E) 153







(A) 5

(B) 6

(C) 4

(D) 7

(E) 3



00000000000

00000000000 - DEMO










(A) 128

(B) 130

(C) 137

(D) 140

(E) 145










(A) 33

(B) 19

(C) 24

00000000000

00000000000 - DEMO




(D) 15

(E) 23










(A) 58

(B) 65

(C) 76

(D) 53

(E) 95









(A) 36

(B) 54

(C) 58

(D) 56

(E) 48

00000000000

00000000000 - DEMO








(A) 64

(B) 48

(C) 36

(D) 24

(E) 16









00000000000

00000000000 - DEMO











igual a n













retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2






A) 2

B) 4

C) 5

D) 8

E) 10






A) 98

B) 112

C) 26

00000000000

00000000000 - DEMO




D) 66

E) 82





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800




A) 6

B) 9

C) 12

D) 16

E) 25







de

A) 15 dias

B) 16 dias

00000000000

00000000000 - DEMO




C) 18 dias

D) 20 dias

E) 24 dias








A) 36

B) 72

C) 144

D) 216

E) 432



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

00000000000

00000000000 - DEMO








2 141

Entatildeo













a) 10

b) 11

c) 15

d) 16

e) 24

00000000000

00000000000 - DEMO







mm do ponto A


(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

00000000000

00000000000 - DEMO




01 D 02 A 03 B 04 D 05 C 06 A 07 C

08 B 09 C 10 D 11 E 12 E 13 D 14 C

15 A 16 D 17 B 18 D 19 B 20 A 21 C

22 B 23 E 24 E 25 B 26 B 27 A 28 CEE

29 CCEC 30 D 31 C 32 D 33 A 34 B 35 A

36 E 37 B 38 B 39 B 40 E

00000000000

00000000000 - DEMO




(A) 1

2

(B) 2

3

(C) 12

35

(D) 8

15

(E) 10

21











(A) R$ 7200000

(B) R$ 8250000

(C) R$ 9400000

(D) R$ 11250000

(E) R$ 12000000







00000000000

00000000000 - DEMO




(A) 3

(B) 6

(C) 4

(D) 5

(E) 7








(A) 23

(B) 78

(C) 14

(D) 38

(E) 98











(D) igual a 8

(E) maior que 13

00000000000

00000000000 - DEMO








(A) 126

(B) 135

(C) 144

(D) 162

(E) 153







(A) 5

(B) 6

(C) 4

(D) 7

(E) 3



00000000000

00000000000 - DEMO










(A) 128

(B) 130

(C) 137

(D) 140

(E) 145










(A) 33

(B) 19

(C) 24

00000000000

00000000000 - DEMO




(D) 15

(E) 23










(A) 58

(B) 65

(C) 76

(D) 53

(E) 95









(A) 36

(B) 54

(C) 58

(D) 56

(E) 48

00000000000

00000000000 - DEMO








(A) 64

(B) 48

(C) 36

(D) 24

(E) 16









00000000000

00000000000 - DEMO











igual a n













retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2






A) 2

B) 4

C) 5

D) 8

E) 10






A) 98

B) 112

C) 26

00000000000

00000000000 - DEMO




D) 66

E) 82





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800




A) 6

B) 9

C) 12

D) 16

E) 25







de

A) 15 dias

B) 16 dias

00000000000

00000000000 - DEMO




C) 18 dias

D) 20 dias

E) 24 dias








A) 36

B) 72

C) 144

D) 216

E) 432



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

00000000000

00000000000 - DEMO








2 141

Entatildeo













a) 10

b) 11

c) 15

d) 16

e) 24

00000000000

00000000000 - DEMO







mm do ponto A


(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

00000000000

00000000000 - DEMO




01 D 02 A 03 B 04 D 05 C 06 A 07 C

08 B 09 C 10 D 11 E 12 E 13 D 14 C

15 A 16 D 17 B 18 D 19 B 20 A 21 C

22 B 23 E 24 E 25 B 26 B 27 A 28 CEE

29 CCEC 30 D 31 C 32 D 33 A 34 B 35 A

36 E 37 B 38 B 39 B 40 E

00000000000

00000000000 - DEMO




(A) 3

(B) 6

(C) 4

(D) 5

(E) 7








(A) 23

(B) 78

(C) 14

(D) 38

(E) 98











(D) igual a 8

(E) maior que 13

00000000000

00000000000 - DEMO








(A) 126

(B) 135

(C) 144

(D) 162

(E) 153







(A) 5

(B) 6

(C) 4

(D) 7

(E) 3



00000000000

00000000000 - DEMO










(A) 128

(B) 130

(C) 137

(D) 140

(E) 145










(A) 33

(B) 19

(C) 24

00000000000

00000000000 - DEMO




(D) 15

(E) 23










(A) 58

(B) 65

(C) 76

(D) 53

(E) 95









(A) 36

(B) 54

(C) 58

(D) 56

(E) 48

00000000000

00000000000 - DEMO








(A) 64

(B) 48

(C) 36

(D) 24

(E) 16









00000000000

00000000000 - DEMO











igual a n













retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2






A) 2

B) 4

C) 5

D) 8

E) 10






A) 98

B) 112

C) 26

00000000000

00000000000 - DEMO




D) 66

E) 82





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800




A) 6

B) 9

C) 12

D) 16

E) 25







de

A) 15 dias

B) 16 dias

00000000000

00000000000 - DEMO




C) 18 dias

D) 20 dias

E) 24 dias








A) 36

B) 72

C) 144

D) 216

E) 432



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

00000000000

00000000000 - DEMO








2 141

Entatildeo













a) 10

b) 11

c) 15

d) 16

e) 24

00000000000

00000000000 - DEMO







mm do ponto A


(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

00000000000

00000000000 - DEMO




01 D 02 A 03 B 04 D 05 C 06 A 07 C

08 B 09 C 10 D 11 E 12 E 13 D 14 C

15 A 16 D 17 B 18 D 19 B 20 A 21 C

22 B 23 E 24 E 25 B 26 B 27 A 28 CEE

29 CCEC 30 D 31 C 32 D 33 A 34 B 35 A

36 E 37 B 38 B 39 B 40 E

00000000000

00000000000 - DEMO








(A) 126

(B) 135

(C) 144

(D) 162

(E) 153







(A) 5

(B) 6

(C) 4

(D) 7

(E) 3



00000000000

00000000000 - DEMO










(A) 128

(B) 130

(C) 137

(D) 140

(E) 145










(A) 33

(B) 19

(C) 24

00000000000

00000000000 - DEMO




(D) 15

(E) 23










(A) 58

(B) 65

(C) 76

(D) 53

(E) 95









(A) 36

(B) 54

(C) 58

(D) 56

(E) 48

00000000000

00000000000 - DEMO








(A) 64

(B) 48

(C) 36

(D) 24

(E) 16









00000000000

00000000000 - DEMO











igual a n













retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2






A) 2

B) 4

C) 5

D) 8

E) 10






A) 98

B) 112

C) 26

00000000000

00000000000 - DEMO




D) 66

E) 82





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800




A) 6

B) 9

C) 12

D) 16

E) 25







de

A) 15 dias

B) 16 dias

00000000000

00000000000 - DEMO




C) 18 dias

D) 20 dias

E) 24 dias








A) 36

B) 72

C) 144

D) 216

E) 432



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

00000000000

00000000000 - DEMO








2 141

Entatildeo













a) 10

b) 11

c) 15

d) 16

e) 24

00000000000

00000000000 - DEMO







mm do ponto A


(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

00000000000

00000000000 - DEMO




01 D 02 A 03 B 04 D 05 C 06 A 07 C

08 B 09 C 10 D 11 E 12 E 13 D 14 C

15 A 16 D 17 B 18 D 19 B 20 A 21 C

22 B 23 E 24 E 25 B 26 B 27 A 28 CEE

29 CCEC 30 D 31 C 32 D 33 A 34 B 35 A

36 E 37 B 38 B 39 B 40 E

00000000000

00000000000 - DEMO










(A) 128

(B) 130

(C) 137

(D) 140

(E) 145










(A) 33

(B) 19

(C) 24

00000000000

00000000000 - DEMO




(D) 15

(E) 23










(A) 58

(B) 65

(C) 76

(D) 53

(E) 95









(A) 36

(B) 54

(C) 58

(D) 56

(E) 48

00000000000

00000000000 - DEMO








(A) 64

(B) 48

(C) 36

(D) 24

(E) 16









00000000000

00000000000 - DEMO











igual a n













retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2






A) 2

B) 4

C) 5

D) 8

E) 10






A) 98

B) 112

C) 26

00000000000

00000000000 - DEMO




D) 66

E) 82





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800




A) 6

B) 9

C) 12

D) 16

E) 25







de

A) 15 dias

B) 16 dias

00000000000

00000000000 - DEMO




C) 18 dias

D) 20 dias

E) 24 dias








A) 36

B) 72

C) 144

D) 216

E) 432



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

00000000000

00000000000 - DEMO








2 141

Entatildeo













a) 10

b) 11

c) 15

d) 16

e) 24

00000000000

00000000000 - DEMO







mm do ponto A


(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

00000000000

00000000000 - DEMO




01 D 02 A 03 B 04 D 05 C 06 A 07 C

08 B 09 C 10 D 11 E 12 E 13 D 14 C

15 A 16 D 17 B 18 D 19 B 20 A 21 C

22 B 23 E 24 E 25 B 26 B 27 A 28 CEE

29 CCEC 30 D 31 C 32 D 33 A 34 B 35 A

36 E 37 B 38 B 39 B 40 E

00000000000

00000000000 - DEMO




(D) 15

(E) 23










(A) 58

(B) 65

(C) 76

(D) 53

(E) 95









(A) 36

(B) 54

(C) 58

(D) 56

(E) 48

00000000000

00000000000 - DEMO








(A) 64

(B) 48

(C) 36

(D) 24

(E) 16









00000000000

00000000000 - DEMO











igual a n













retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2






A) 2

B) 4

C) 5

D) 8

E) 10






A) 98

B) 112

C) 26

00000000000

00000000000 - DEMO




D) 66

E) 82





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800




A) 6

B) 9

C) 12

D) 16

E) 25







de

A) 15 dias

B) 16 dias

00000000000

00000000000 - DEMO




C) 18 dias

D) 20 dias

E) 24 dias








A) 36

B) 72

C) 144

D) 216

E) 432



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

00000000000

00000000000 - DEMO








2 141

Entatildeo













a) 10

b) 11

c) 15

d) 16

e) 24

00000000000

00000000000 - DEMO







mm do ponto A


(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

00000000000

00000000000 - DEMO




01 D 02 A 03 B 04 D 05 C 06 A 07 C

08 B 09 C 10 D 11 E 12 E 13 D 14 C

15 A 16 D 17 B 18 D 19 B 20 A 21 C

22 B 23 E 24 E 25 B 26 B 27 A 28 CEE

29 CCEC 30 D 31 C 32 D 33 A 34 B 35 A

36 E 37 B 38 B 39 B 40 E

00000000000

00000000000 - DEMO








(A) 64

(B) 48

(C) 36

(D) 24

(E) 16









00000000000

00000000000 - DEMO











igual a n













retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2






A) 2

B) 4

C) 5

D) 8

E) 10






A) 98

B) 112

C) 26

00000000000

00000000000 - DEMO




D) 66

E) 82





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800




A) 6

B) 9

C) 12

D) 16

E) 25







de

A) 15 dias

B) 16 dias

00000000000

00000000000 - DEMO




C) 18 dias

D) 20 dias

E) 24 dias








A) 36

B) 72

C) 144

D) 216

E) 432



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

00000000000

00000000000 - DEMO








2 141

Entatildeo













a) 10

b) 11

c) 15

d) 16

e) 24

00000000000

00000000000 - DEMO







mm do ponto A


(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

00000000000

00000000000 - DEMO




01 D 02 A 03 B 04 D 05 C 06 A 07 C

08 B 09 C 10 D 11 E 12 E 13 D 14 C

15 A 16 D 17 B 18 D 19 B 20 A 21 C

22 B 23 E 24 E 25 B 26 B 27 A 28 CEE

29 CCEC 30 D 31 C 32 D 33 A 34 B 35 A

36 E 37 B 38 B 39 B 40 E

00000000000

00000000000 - DEMO











igual a n













retacircngulo mede

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2






A) 2

B) 4

C) 5

D) 8

E) 10






A) 98

B) 112

C) 26

00000000000

00000000000 - DEMO




D) 66

E) 82





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800




A) 6

B) 9

C) 12

D) 16

E) 25







de

A) 15 dias

B) 16 dias

00000000000

00000000000 - DEMO




C) 18 dias

D) 20 dias

E) 24 dias








A) 36

B) 72

C) 144

D) 216

E) 432



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

00000000000

00000000000 - DEMO








2 141

Entatildeo













a) 10

b) 11

c) 15

d) 16

e) 24

00000000000

00000000000 - DEMO







mm do ponto A


(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

00000000000

00000000000 - DEMO




01 D 02 A 03 B 04 D 05 C 06 A 07 C

08 B 09 C 10 D 11 E 12 E 13 D 14 C

15 A 16 D 17 B 18 D 19 B 20 A 21 C

22 B 23 E 24 E 25 B 26 B 27 A 28 CEE

29 CCEC 30 D 31 C 32 D 33 A 34 B 35 A

36 E 37 B 38 B 39 B 40 E

00000000000

00000000000 - DEMO




(A) 84 cmsup2

(B) 90 cmsup2

(C) 92 cmsup2

(D) 96 cmsup2






A) 2

B) 4

C) 5

D) 8

E) 10






A) 98

B) 112

C) 26

00000000000

00000000000 - DEMO




D) 66

E) 82





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800




A) 6

B) 9

C) 12

D) 16

E) 25







de

A) 15 dias

B) 16 dias

00000000000

00000000000 - DEMO




C) 18 dias

D) 20 dias

E) 24 dias








A) 36

B) 72

C) 144

D) 216

E) 432



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

00000000000

00000000000 - DEMO








2 141

Entatildeo













a) 10

b) 11

c) 15

d) 16

e) 24

00000000000

00000000000 - DEMO







mm do ponto A


(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

00000000000

00000000000 - DEMO




01 D 02 A 03 B 04 D 05 C 06 A 07 C

08 B 09 C 10 D 11 E 12 E 13 D 14 C

15 A 16 D 17 B 18 D 19 B 20 A 21 C

22 B 23 E 24 E 25 B 26 B 27 A 28 CEE

29 CCEC 30 D 31 C 32 D 33 A 34 B 35 A

36 E 37 B 38 B 39 B 40 E

00000000000

00000000000 - DEMO




D) 66

E) 82





A) R$ 350

B) R$ 400

C) R$ 550

D) R$ 700

E) R$ 800




A) 6

B) 9

C) 12

D) 16

E) 25







de

A) 15 dias

B) 16 dias

00000000000

00000000000 - DEMO




C) 18 dias

D) 20 dias

E) 24 dias








A) 36

B) 72

C) 144

D) 216

E) 432



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

00000000000

00000000000 - DEMO








2 141

Entatildeo













a) 10

b) 11

c) 15

d) 16

e) 24

00000000000

00000000000 - DEMO







mm do ponto A


(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

00000000000

00000000000 - DEMO




01 D 02 A 03 B 04 D 05 C 06 A 07 C

08 B 09 C 10 D 11 E 12 E 13 D 14 C

15 A 16 D 17 B 18 D 19 B 20 A 21 C

22 B 23 E 24 E 25 B 26 B 27 A 28 CEE

29 CCEC 30 D 31 C 32 D 33 A 34 B 35 A

36 E 37 B 38 B 39 B 40 E

00000000000

00000000000 - DEMO




C) 18 dias

D) 20 dias

E) 24 dias








A) 36

B) 72

C) 144

D) 216

E) 432



valor de n eacute

A) 80

B) 100

C) 120

D) 140

E) 150

00000000000

00000000000 - DEMO








2 141

Entatildeo













a) 10

b) 11

c) 15

d) 16

e) 24

00000000000

00000000000 - DEMO







mm do ponto A


(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

00000000000

00000000000 - DEMO




01 D 02 A 03 B 04 D 05 C 06 A 07 C

08 B 09 C 10 D 11 E 12 E 13 D 14 C

15 A 16 D 17 B 18 D 19 B 20 A 21 C

22 B 23 E 24 E 25 B 26 B 27 A 28 CEE

29 CCEC 30 D 31 C 32 D 33 A 34 B 35 A

36 E 37 B 38 B 39 B 40 E

00000000000

00000000000 - DEMO








2 141

Entatildeo













a) 10

b) 11

c) 15

d) 16

e) 24

00000000000

00000000000 - DEMO







mm do ponto A


(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

00000000000

00000000000 - DEMO




01 D 02 A 03 B 04 D 05 C 06 A 07 C

08 B 09 C 10 D 11 E 12 E 13 D 14 C

15 A 16 D 17 B 18 D 19 B 20 A 21 C

22 B 23 E 24 E 25 B 26 B 27 A 28 CEE

29 CCEC 30 D 31 C 32 D 33 A 34 B 35 A

36 E 37 B 38 B 39 B 40 E

00000000000

00000000000 - DEMO







mm do ponto A


(A) 171

(B) 231

(C) 235

(D) 239

(E) 248

00000000000

00000000000 - DEMO




01 D 02 A 03 B 04 D 05 C 06 A 07 C

08 B 09 C 10 D 11 E 12 E 13 D 14 C

15 A 16 D 17 B 18 D 19 B 20 A 21 C

22 B 23 E 24 E 25 B 26 B 27 A 28 CEE

29 CCEC 30 D 31 C 32 D 33 A 34 B 35 A

36 E 37 B 38 B 39 B 40 E

00000000000

00000000000 - DEMO




01 D 02 A 03 B 04 D 05 C 06 A 07 C

08 B 09 C 10 D 11 E 12 E 13 D 14 C

15 A 16 D 17 B 18 D 19 B 20 A 21 C

22 B 23 E 24 E 25 B 26 B 27 A 28 CEE

29 CCEC 30 D 31 C 32 D 33 A 34 B 35 A

36 E 37 B 38 B 39 B 40 E

00000000000

00000000000 - DEMO

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