← Voltar para a lista de provas Escola Preparatória de Cadetes do Ar (EPCAR) — Comando da Aeronáutica · Exame de Admissão ao CPCAR 49 questões nesta prova · página 2 de 3 · 47 com gabarito Gabarito disponível Fatorando, a fração se simplifica em (b+c)/(a+b). O denominador é c(a+b)² − a(a+b)² = (c−a)(a+b)². O numerador agrupa-se em b²(c−a) + b(c−a)(c+a) + ac(c−a) = (c−a)(b+c)(a+b). Simplificando, sobra (b+c)/(a+b). A, C e D) Não correspondem à fatoração correta, pois (c−a) cancela e um fator (a+b) permanece no denominador. Referência: Fatoração e frações algébricas. Resolução comentada do VaiConcursos. Gabarito disponível Misturando volumes iguais, etanol/gasolina = 29/75. No 1º combustível, etanol = 1/4 e gasolina = 3/4. No 2º, etanol = 4/13 e gasolina = 9/13. Somando, etanol = 29/52 e gasolina = 75/52, logo a razão é 29/75. A, B e D) Resultam de somar as partes diretamente sem igualar os volumes (ou de erros de conta). Referência: Razão e proporção; misturas. Resolução comentada do VaiConcursos. Gabarito disponível Gabarito disponível Hambúrguer R$ 3, suco R$ 4, sobremesa R$ 5: Paulo e José pagaram R$ 21 cada. Do sistema 2h+s+d=15, 4h+3s=24 e 5s+3d=35 obtém-se h=3, s=4 e d=5. Carlos pagou 6+16+10=32, Paulo 9+12=21 e José 3+8+10=21, então Paulo e José pagaram o mesmo valor. A) Errada: Carlos pagou R$ 11 a mais que Paulo. B) Errada: a diferença entre Carlos e José é R$ 11. D) Errada: José e Paulo pagaram igual, então José não pagou mais que Paulo. Referência: Sistemas lineares. Resolução comentada do VaiConcursos. Gabarito disponível x = 27 000; à vista 24 300; economia de 8 100. As parcelas somam 10·3 240 = 32 400 = 1,2x, logo x = 27 000. À vista seriam 0,9·27 000 = 24 300, e a economia seria 32 400 − 24 300 = 8 100, mais de R$ 8 000. A) Errada: x = 27 000 > 25 000. B) Errada: à vista seriam 24 300 < 24 500. C) Errada: 32 400/24 300 ≈ 1,333, acréscimo de cerca de 33,3%, não 30%.
Referência: Porcentagem. Resolução comentada do VaiConcursos. Gabarito disponível Gabarito disponível Equação do 2º grau dá preço de R$ 9 e R$ 12; o mais caro custou R$ 216. Pagou-se 6·50 − 30 = 270. Seja p o preço do 1º doce: 6p + 2p(p+3) = 270, logo p² + 6p − 135 = 0 e p = 9. O 2º doce custa 12 e foram 2·9 = 18 unidades, então 18·12 = 216. B, C e D) Não resultam da conta correta (18 unidades a R$ 12). A raiz negativa (−15) é descartada. Referência: Equação do 2º grau. Resolução comentada do VaiConcursos. Gabarito disponível Gabarito disponível Gabarito disponível Questão anulada Gabarito disponível Gabarito disponível O 1º parágrafo indica que a tecnologia disseminou as teorias. O texto diz que a internet não apenas criou novas teorias, mas também acelerou as já existentes. Dedutivelmente, a tecnologia ajudou a espalhar as teorias da conspiração. A) Errada: as teorias não foram criadas para reforçar a internet. B) Errada: o texto as trata como absurdas. D) Errada: a internet não convenceu as pessoas contra elas, ela as acelerou. Referência: Inferência em interpretação de texto. Resolução comentada do VaiConcursos. Gabarito disponível Interrogativa negativa do present perfect: 'Hasn't ... cooked up'. A frase está no present perfect (hasn't cooked up). Na forma interrogativa, o auxiliar vai para o início, seguido do sujeito e do particípio: 'Hasn't the advent of the internet cooked up new conspiracy theories?'. A) Errada: usa presente simples. C) Errada: usa passado simples. D) Errada: 'Haven't' não concorda com 'advent' e o verbo está fora do particípio. Referência: Present Perfect, interrogative form. Resolução comentada do VaiConcursos. Gabarito disponível Gabarito disponível Question tag de 'He's' (he is) afirmativo é 'isn't he'. 'He's right there' é 'He is right there', afirmativa com o verbo to be. A tag é negativa com o mesmo auxiliar e o pronome: 'isn't he?'. B) Errada: 'hasn't' exigiria 'has'. C) Errada: o sujeito é 'he', não 'there'. D) Errada: a tag positiva não se usa após frase afirmativa. Referência: Question tags. Resolução comentada do VaiConcursos. Gabarito disponível Segundo o 2º parágrafo, a Lua não existe. O parágrafo afirma 'The moon doesn't exist. It's a hologram', ou seja, a Lua não é real segundo essa teoria. B) Errada: os YouTubers apenas a observam. C) Errada: não há menção a várias luas. D) Errada: o holograma foi colocado por 'persons unknown'; David Icke apenas tem uma teoria. Referência: Interpretação de texto. Resolução comentada do VaiConcursos. Gabarito disponível 'Don't age' = não parecem mais velhos. No contexto, 'don't age' significa que os astros de Hollywood não aparentam envelhecer, ou seja, não parecem mais velhos com o passar do tempo. A) Errada: não trata de comemorar aniversário. B) Errada: não diz que a idade é incontável. D) Errada: o texto fala de não envelhecer, não de nunca morrer. Referência: Vocabulário em contexto. Resolução comentada do VaiConcursos. Gabarito disponível O texto diz que estrelas não envelhecem por serem vampiros, não por causa do botox. No parágrafo 3 as teorias sugerem que os astros de Hollywood não envelhecem por serem mortos-vivos imortais. A parte sobre o botox é a ironia do autor ('Not because they're stuffed with botox, then?'), não algo que as teorias considerem. A) Errada: as teorias ligam Jay Z aos Illuminati. B) Errada: as teorias sugerem que as estrelas são vampiros. C) Errada: a teoria diz que a foto de 1939 mostra Jay Z, viajante do tempo. Referência: Interpretação de texto. Resolução comentada do VaiConcursos. Gabarito disponível Afirmativa do imperativo negativo: 'Give up'. 'Don't give up' é um imperativo negativo. Retirando o 'Don't', obtém-se a forma afirmativa: 'give up'. A) Errada: 'giving up' é gerúndio. B) Errada: 'I give up' é presente simples com sujeito. C) Errada: 'I gave up' é passado simples. Referência: Imperative. Resolução comentada do VaiConcursos.EPCAR — Exame de Admissão ao CPCAR 2018 — Língua Portuguesa, Matemática, Língua Inglesa e Redação — Versão A
(−ab² + b²c + bc² + ac² − a²c − a²b) / (a²c + 2abc + b²c − a³ − 2a²b − ab²),
considerando sua devida existência, obtém-seResolução comentada
Análise das alternativas
Considere esse combustível e um outro que apresenta a mistura de 4 partes de etanol para 9 partes de gasolina.
Juntando-se volumes iguais dos dois combustíveis, a nova relação de etanol para gasolina, nesta ordem, seráResolução comentada
Análise das alternativas
Assim, no instante t = 10 horas o móvel está a uma velocidade de 55 km/h, por exemplo.
Sabe-se que é possível determinar a distância que o móvel percorre calculando a área limitada entre o eixo horizontal t e a semirreta que representa a velocidade em função do tempo. Desta forma, a área hachurada no gráfico fornece a distância, em km, percorrida pelo móvel do instante 6 a 10 horas.
É correto afirmar que a distância percorrida pelo móvel, em km, do instante 3 a 9 horas é de
Ao observarem o cardápio disponível, perceberam que teriam que pedir o que era denominado de “Combo”, ou seja, um combinado de vários itens por um preço já especificado.
Assim, os Combos solicitados foram:
*Combo 1 = R$ 15,00 : 2 hambúrgueres,1 suco e 1 sobremesa
*Combo 2 = R$ 24,00 : 4 hambúrgueres e 3 sucos
*Combo 3 = R$ 35,00 : 5 sucos e 3 sobremesas
O valor individual dos hambúrgueres é o mesmo, bem como o valor individual dos sucos e o valor individual das sobremesas, não importando qual Combo foi escolhido.
O quadro a seguir mostra a quantidade de cada um dos itens dos Combos que Carlos, Paulo e José consumiram:
| Hambúrgueres | Sucos | Sobremesas
Carlos | 2 | 4 | 2
Paulo | 3 | 3 | 0
José | 1 | 2 | 2
Se Carlos, Paulo e José se organizaram para descobrir o valor individual de cada item e pagaram individualmente apenas pelo que cada um consumiu, então é correto afirmar queResolução comentada
Análise das alternativas
Para atrair clientes, a revendedora oferece duas formas de pagamento:
Forma de pagamento | Valor
À vista | 10% de desconto sobre o preço anunciado
Cartão de crédito | Com acréscimo de 20% sobre o preço anunciado, sendo o total dividido em 10 parcelas iguais
Um cliente comprou um automóvel e optou pelo pagamento no cartão de crédito em 10 parcelas iguais de R$ 3 240,00
Considerando as informações anteriores, é correto afirmar queResolução comentada
Análise das alternativas
Durante as últimas férias, um grupo desses alunos se reuniu para ir a São Paulo com o objetivo de saltar de “Bungee Jumping” da Ponte Octávio Frias de Oliveira, geralmente chamada de “Ponte Estaiada”.
Em uma publicação na rede social de um desses saltos, eles, querendo impressionar, colocaram algumas medidas fictícias da aproximação do saltador em relação ao solo.
Considere que a trajetória que o saltador descreve possa ser modelada por uma função polinomial do 2º grau f(x) = ax² + bx + c, cujo eixo das abscissas coincida com a reta da Av. Nações Unidas e o eixo das ordenadas contenha o “ponto mais próximo da Avenida”, indicados na figura.
Considere, também, as medidas informadas.
O coeficiente de x² da função com as características sugeridas é igual a
Dos dois tipos de doce que comprei, gastei com o mais caro, em reais, um total deResolução comentada
Análise das alternativas
A medida do ângulo AF̂G, em graus, é igual a
Segue um esboço do que foi apresentado pela empresa:
O ponto O é a projeção ortogonal do ponto V sobre a base hexagonal regular da barraca.
Considere: √7 = 2,6 e √2 = 1,4
No modelo apresentado, a parte hachurada indica onde existe tecido, ou seja, no telhado e na parte de baixo da lateral, ao custo de R$ 2,00 o metro quadrado.
Além disso, em cada aresta está uma barra de alumínio ao custo de R$ 4,00 o metro linear.
Se a empresa cobra uma taxa de mão de obra equivalente a 30% do custo de todo o material gasto, então é correto afirmar que o custo total de uma barraca padrão, em reais, é um número compreendido entre
O produto OB · CT, em cm², é igual a
O “Homem Vitruviano” guarda em si essas noções.
(Disponível em: <<http://academiadefilosofia.org/publicacoes/olhar-filosofico/o-homem-vitruviano-leonardo-da-vinci>>)
Para a Matemática, as ideias de rotação e de simetria de polígonos podem auxiliar nos cálculos de distâncias.
Considere o triângulo equilátero ABC representado no plano cartesiano a seguir.
O triângulo A’B’C’ será o triângulo ABC rotacionado nesse mesmo plano de um ângulo de 45° em torno da intersecção de AB com o eixo das abscissas, no sentido horário.
As coordenadas cartesianas do vértice C’ do triângulo A’B’C’ serão
* Modelo A: Testes em apenas 1 dia
* Modelo B: Testes no sábado e no domingo
* Modelo C: Testes em dois domingos consecutivos
Suponha que tenham sido consultadas um total de x pessoas entre moradores da capital e do interior. Desse total, 40 pessoas do interior e 60 da capital não manifestaram preferência pelos Modelos A, B ou C.
O gráfico a seguir mostra os resultados dos que manifestaram sua preferência:
Baseado nestas informações, é correto afirmar que
Directions: Read the text below and answer questions 33 to 48 according to it.
SOME OF THE INTERNET'S CRAZIEST CONSPIRACY THEORIES
Michael Jackson Is Still Alive
The advent of the internet hasn't just cooked up¹
new conspiracy theories, it's also accelerated existing
ones. If you refuse to believe that it was the Iranians that
[5] killed him, perhaps you'll be convinced that MJ is actually
still alive. Proof? His own daughter Paris Jackson took a
photo of him. Seriously. What do you mean you don't
see him? He's right there in the back seat, stacked²
under that pile of clothes wearing his iconic hat. Believe,
[10] man. Thriller Vol.2 to drop next year.
The Moon Doesn't Exist
It's no good looking at it, night after night. The
moon doesn't exist. It's a hologram, put there by persons
unknown. Of course, serial conspiracy theorist David
[15] Icke has a theory. There are also countless YouTubers
keeping an eye out, one of whom has gone as far as
"looking at it regularly for a year".
Jay Z Is A Time-Travelling Vampire
There are vast regions of the internet devoted to
[20] explaining why Jay Z is part of the Illuminati. Hence³
when this photo, which was taken in New York in 1939,
appeared last year, he was accused of being a time-
traveller. And a vampire. This video lists other old-time
celebrity lookalikes⁴, as well as suggesting that
[25] Hollywood stars don't age because they're the immortal
bloodsucking undead. Not because they're stuffed⁵ with
botox, then?
The Earth Is Hollow
Don't give up, readers. We're halfway through
[30] this list. We can make it to the end. Dig⁶ deep. Well, not
too deep. You see, the Earth is hollow⁷ and accessible
via portals at the north and south poles. Luckily though,
it's quite habitable down there, providing excellent living
quarters⁸ for the lost Viking colonies of Greenland and
[35] the Nazis, while "aliens" are in fact just visitors from the
subterranean areas.
Siri Can Predict The Apocalypse
Amazing as it may seem, given that it can't do
anything else you actually ask it to do, Siri can predict
[40] the apocalypse. When asked "What day is 27th July
2014?", Apple's assistant replied, "The opening of the
gate of Hades", aka⁹ The End Of The World. That date
has now passed without issue¹⁰. Say what you like about
the maligned MS Office paperclip, but at least he didn't
[45] scaremonger¹¹ that the end was near.
We All Live In The Matrix And Billionaires Want To Break Us Out Of It
The New Yorker’s Tad Friend claims that many
people in Silicone Valley are obsessed with the idea that
[50] we're all living in a Matrix-like simulation, and some are
taking that obsession a stage further: “Two tech
billionaires have gone so far as to secretly engage
scientists to work on breaking us out of the
simulation.”Here's hoping Mark Zuckerberg is 'The One',
[55] yeah?
Hitler Is Still Alive
"Hitler is still alive" rumours have circulated since
the 1970s, fuelled by the fact that his crony Josef
Mengele hid in South America. Stories like this one,
[60] however, speculate the 125-year-old Hitler has been
responsible for various world disasters, including 9/11
and the 2010 Gulf oil spill, which happened on his
birthday. Other theories say he died in 1984 in Brazil,
aged 94. Or in Argentina, aged 73.
(Adapted from http://www.shortlist.com/entertainment/20-of-the-internets-craziest-conspiracy-theories/Acesso em: 14 de fev 2017)
Glossary:
1 - cook up – to invent a story, a plan, etc.
2 - stacked – covered with things
3 - hence – the reason, the explanation for
4 - lookalikes – similar in appearance
5 - stuffed – filled with something
6 - dig – to make a hole in the ground
7 - hollow – a hole or empty space
8 - quarter – a place to live
9 - aka – abbreviation for also known as
10 - issue – problem
11 - scaremonger – a person that creates stories that cause public fear
We can deduce from the first paragraph thatResolução comentada
Análise das alternativas
Directions: Read the text below and answer questions 33 to 48 according to it.
SOME OF THE INTERNET'S CRAZIEST CONSPIRACY THEORIES
Michael Jackson Is Still Alive
The advent of the internet hasn't just cooked up¹
new conspiracy theories, it's also accelerated existing
ones. If you refuse to believe that it was the Iranians that
[5] killed him, perhaps you'll be convinced that MJ is actually
still alive. Proof? His own daughter Paris Jackson took a
photo of him. Seriously. What do you mean you don't
see him? He's right there in the back seat, stacked²
under that pile of clothes wearing his iconic hat. Believe,
[10] man. Thriller Vol.2 to drop next year.
The Moon Doesn't Exist
It's no good looking at it, night after night. The
moon doesn't exist. It's a hologram, put there by persons
unknown. Of course, serial conspiracy theorist David
[15] Icke has a theory. There are also countless YouTubers
keeping an eye out, one of whom has gone as far as
"looking at it regularly for a year".
Jay Z Is A Time-Travelling Vampire
There are vast regions of the internet devoted to
[20] explaining why Jay Z is part of the Illuminati. Hence³
when this photo, which was taken in New York in 1939,
appeared last year, he was accused of being a time-
traveller. And a vampire. This video lists other old-time
celebrity lookalikes⁴, as well as suggesting that
[25] Hollywood stars don't age because they're the immortal
bloodsucking undead. Not because they're stuffed⁵ with
botox, then?
The Earth Is Hollow
Don't give up, readers. We're halfway through
[30] this list. We can make it to the end. Dig⁶ deep. Well, not
too deep. You see, the Earth is hollow⁷ and accessible
via portals at the north and south poles. Luckily though,
it's quite habitable down there, providing excellent living
quarters⁸ for the lost Viking colonies of Greenland and
[35] the Nazis, while "aliens" are in fact just visitors from the
subterranean areas.
Siri Can Predict The Apocalypse
Amazing as it may seem, given that it can't do
anything else you actually ask it to do, Siri can predict
[40] the apocalypse. When asked "What day is 27th July
2014?", Apple's assistant replied, "The opening of the
gate of Hades", aka⁹ The End Of The World. That date
has now passed without issue¹⁰. Say what you like about
the maligned MS Office paperclip, but at least he didn't
[45] scaremonger¹¹ that the end was near.
We All Live In The Matrix And Billionaires Want To Break Us Out Of It
The New Yorker’s Tad Friend claims that many
people in Silicone Valley are obsessed with the idea that
[50] we're all living in a Matrix-like simulation, and some are
taking that obsession a stage further: “Two tech
billionaires have gone so far as to secretly engage
scientists to work on breaking us out of the
simulation.”Here's hoping Mark Zuckerberg is 'The One',
[55] yeah?
Hitler Is Still Alive
"Hitler is still alive" rumours have circulated since
the 1970s, fuelled by the fact that his crony Josef
Mengele hid in South America. Stories like this one,
[60] however, speculate the 125-year-old Hitler has been
responsible for various world disasters, including 9/11
and the 2010 Gulf oil spill, which happened on his
birthday. Other theories say he died in 1984 in Brazil,
aged 94. Or in Argentina, aged 73.
(Adapted from http://www.shortlist.com/entertainment/20-of-the-internets-craziest-conspiracy-theories/Acesso em: 14 de fev 2017)
Glossary:
1 - cook up – to invent a story, a plan, etc.
2 - stacked – covered with things
3 - hence – the reason, the explanation for
4 - lookalikes – similar in appearance
5 - stuffed – filled with something
6 - dig – to make a hole in the ground
7 - hollow – a hole or empty space
8 - quarter – a place to live
9 - aka – abbreviation for also known as
10 - issue – problem
11 - scaremonger – a person that creates stories that cause public fear
“The advent of the internet hasn't […] cooked up new conspiracy theories” (lines 2 and 3).
Mark the correct option to make the sentence above interrogative.Resolução comentada
Análise das alternativas
Directions: Read the text below and answer questions 33 to 48 according to it.
SOME OF THE INTERNET'S CRAZIEST CONSPIRACY THEORIES
Michael Jackson Is Still Alive
The advent of the internet hasn't just cooked up¹
new conspiracy theories, it's also accelerated existing
ones. If you refuse to believe that it was the Iranians that
[5] killed him, perhaps you'll be convinced that MJ is actually
still alive. Proof? His own daughter Paris Jackson took a
photo of him. Seriously. What do you mean you don't
see him? He's right there in the back seat, stacked²
under that pile of clothes wearing his iconic hat. Believe,
[10] man. Thriller Vol.2 to drop next year.
The Moon Doesn't Exist
It's no good looking at it, night after night. The
moon doesn't exist. It's a hologram, put there by persons
unknown. Of course, serial conspiracy theorist David
[15] Icke has a theory. There are also countless YouTubers
keeping an eye out, one of whom has gone as far as
"looking at it regularly for a year".
Jay Z Is A Time-Travelling Vampire
There are vast regions of the internet devoted to
[20] explaining why Jay Z is part of the Illuminati. Hence³
when this photo, which was taken in New York in 1939,
appeared last year, he was accused of being a time-
traveller. And a vampire. This video lists other old-time
celebrity lookalikes⁴, as well as suggesting that
[25] Hollywood stars don't age because they're the immortal
bloodsucking undead. Not because they're stuffed⁵ with
botox, then?
The Earth Is Hollow
Don't give up, readers. We're halfway through
[30] this list. We can make it to the end. Dig⁶ deep. Well, not
too deep. You see, the Earth is hollow⁷ and accessible
via portals at the north and south poles. Luckily though,
it's quite habitable down there, providing excellent living
quarters⁸ for the lost Viking colonies of Greenland and
[35] the Nazis, while "aliens" are in fact just visitors from the
subterranean areas.
Siri Can Predict The Apocalypse
Amazing as it may seem, given that it can't do
anything else you actually ask it to do, Siri can predict
[40] the apocalypse. When asked "What day is 27th July
2014?", Apple's assistant replied, "The opening of the
gate of Hades", aka⁹ The End Of The World. That date
has now passed without issue¹⁰. Say what you like about
the maligned MS Office paperclip, but at least he didn't
[45] scaremonger¹¹ that the end was near.
We All Live In The Matrix And Billionaires Want To Break Us Out Of It
The New Yorker’s Tad Friend claims that many
people in Silicone Valley are obsessed with the idea that
[50] we're all living in a Matrix-like simulation, and some are
taking that obsession a stage further: “Two tech
billionaires have gone so far as to secretly engage
scientists to work on breaking us out of the
simulation.”Here's hoping Mark Zuckerberg is 'The One',
[55] yeah?
Hitler Is Still Alive
"Hitler is still alive" rumours have circulated since
the 1970s, fuelled by the fact that his crony Josef
Mengele hid in South America. Stories like this one,
[60] however, speculate the 125-year-old Hitler has been
responsible for various world disasters, including 9/11
and the 2010 Gulf oil spill, which happened on his
birthday. Other theories say he died in 1984 in Brazil,
aged 94. Or in Argentina, aged 73.
(Adapted from http://www.shortlist.com/entertainment/20-of-the-internets-craziest-conspiracy-theories/Acesso em: 14 de fev 2017)
Glossary:
1 - cook up – to invent a story, a plan, etc.
2 - stacked – covered with things
3 - hence – the reason, the explanation for
4 - lookalikes – similar in appearance
5 - stuffed – filled with something
6 - dig – to make a hole in the ground
7 - hollow – a hole or empty space
8 - quarter – a place to live
9 - aka – abbreviation for also known as
10 - issue – problem
11 - scaremonger – a person that creates stories that cause public fear
Mark the correct masculine type of the highlighted word.
Directions: Read the text below and answer questions 33 to 48 according to it.
SOME OF THE INTERNET'S CRAZIEST CONSPIRACY THEORIES
Michael Jackson Is Still Alive
The advent of the internet hasn't just cooked up¹
new conspiracy theories, it's also accelerated existing
ones. If you refuse to believe that it was the Iranians that
[5] killed him, perhaps you'll be convinced that MJ is actually
still alive. Proof? His own daughter Paris Jackson took a
photo of him. Seriously. What do you mean you don't
see him? He's right there in the back seat, stacked²
under that pile of clothes wearing his iconic hat. Believe,
[10] man. Thriller Vol.2 to drop next year.
The Moon Doesn't Exist
It's no good looking at it, night after night. The
moon doesn't exist. It's a hologram, put there by persons
unknown. Of course, serial conspiracy theorist David
[15] Icke has a theory. There are also countless YouTubers
keeping an eye out, one of whom has gone as far as
"looking at it regularly for a year".
Jay Z Is A Time-Travelling Vampire
There are vast regions of the internet devoted to
[20] explaining why Jay Z is part of the Illuminati. Hence³
when this photo, which was taken in New York in 1939,
appeared last year, he was accused of being a time-
traveller. And a vampire. This video lists other old-time
celebrity lookalikes⁴, as well as suggesting that
[25] Hollywood stars don't age because they're the immortal
bloodsucking undead. Not because they're stuffed⁵ with
botox, then?
The Earth Is Hollow
Don't give up, readers. We're halfway through
[30] this list. We can make it to the end. Dig⁶ deep. Well, not
too deep. You see, the Earth is hollow⁷ and accessible
via portals at the north and south poles. Luckily though,
it's quite habitable down there, providing excellent living
quarters⁸ for the lost Viking colonies of Greenland and
[35] the Nazis, while "aliens" are in fact just visitors from the
subterranean areas.
Siri Can Predict The Apocalypse
Amazing as it may seem, given that it can't do
anything else you actually ask it to do, Siri can predict
[40] the apocalypse. When asked "What day is 27th July
2014?", Apple's assistant replied, "The opening of the
gate of Hades", aka⁹ The End Of The World. That date
has now passed without issue¹⁰. Say what you like about
the maligned MS Office paperclip, but at least he didn't
[45] scaremonger¹¹ that the end was near.
We All Live In The Matrix And Billionaires Want To Break Us Out Of It
The New Yorker’s Tad Friend claims that many
people in Silicone Valley are obsessed with the idea that
[50] we're all living in a Matrix-like simulation, and some are
taking that obsession a stage further: “Two tech
billionaires have gone so far as to secretly engage
scientists to work on breaking us out of the
simulation.”Here's hoping Mark Zuckerberg is 'The One',
[55] yeah?
Hitler Is Still Alive
"Hitler is still alive" rumours have circulated since
the 1970s, fuelled by the fact that his crony Josef
Mengele hid in South America. Stories like this one,
[60] however, speculate the 125-year-old Hitler has been
responsible for various world disasters, including 9/11
and the 2010 Gulf oil spill, which happened on his
birthday. Other theories say he died in 1984 in Brazil,
aged 94. Or in Argentina, aged 73.
(Adapted from http://www.shortlist.com/entertainment/20-of-the-internets-craziest-conspiracy-theories/Acesso em: 14 de fev 2017)
Glossary:
1 - cook up – to invent a story, a plan, etc.
2 - stacked – covered with things
3 - hence – the reason, the explanation for
4 - lookalikes – similar in appearance
5 - stuffed – filled with something
6 - dig – to make a hole in the ground
7 - hollow – a hole or empty space
8 - quarter – a place to live
9 - aka – abbreviation for also known as
10 - issue – problem
11 - scaremonger – a person that creates stories that cause public fear
Mark the option that shows the appropriate question tag for the sentence.
“He's right there in the back seat”, ______? (line 8)Resolução comentada
Análise das alternativas
Directions: Read the text below and answer questions 33 to 48 according to it.
SOME OF THE INTERNET'S CRAZIEST CONSPIRACY THEORIES
Michael Jackson Is Still Alive
The advent of the internet hasn't just cooked up¹
new conspiracy theories, it's also accelerated existing
ones. If you refuse to believe that it was the Iranians that
[5] killed him, perhaps you'll be convinced that MJ is actually
still alive. Proof? His own daughter Paris Jackson took a
photo of him. Seriously. What do you mean you don't
see him? He's right there in the back seat, stacked²
under that pile of clothes wearing his iconic hat. Believe,
[10] man. Thriller Vol.2 to drop next year.
The Moon Doesn't Exist
It's no good looking at it, night after night. The
moon doesn't exist. It's a hologram, put there by persons
unknown. Of course, serial conspiracy theorist David
[15] Icke has a theory. There are also countless YouTubers
keeping an eye out, one of whom has gone as far as
"looking at it regularly for a year".
Jay Z Is A Time-Travelling Vampire
There are vast regions of the internet devoted to
[20] explaining why Jay Z is part of the Illuminati. Hence³
when this photo, which was taken in New York in 1939,
appeared last year, he was accused of being a time-
traveller. And a vampire. This video lists other old-time
celebrity lookalikes⁴, as well as suggesting that
[25] Hollywood stars don't age because they're the immortal
bloodsucking undead. Not because they're stuffed⁵ with
botox, then?
The Earth Is Hollow
Don't give up, readers. We're halfway through
[30] this list. We can make it to the end. Dig⁶ deep. Well, not
too deep. You see, the Earth is hollow⁷ and accessible
via portals at the north and south poles. Luckily though,
it's quite habitable down there, providing excellent living
quarters⁸ for the lost Viking colonies of Greenland and
[35] the Nazis, while "aliens" are in fact just visitors from the
subterranean areas.
Siri Can Predict The Apocalypse
Amazing as it may seem, given that it can't do
anything else you actually ask it to do, Siri can predict
[40] the apocalypse. When asked "What day is 27th July
2014?", Apple's assistant replied, "The opening of the
gate of Hades", aka⁹ The End Of The World. That date
has now passed without issue¹⁰. Say what you like about
the maligned MS Office paperclip, but at least he didn't
[45] scaremonger¹¹ that the end was near.
We All Live In The Matrix And Billionaires Want To Break Us Out Of It
The New Yorker’s Tad Friend claims that many
people in Silicone Valley are obsessed with the idea that
[50] we're all living in a Matrix-like simulation, and some are
taking that obsession a stage further: “Two tech
billionaires have gone so far as to secretly engage
scientists to work on breaking us out of the
simulation.”Here's hoping Mark Zuckerberg is 'The One',
[55] yeah?
Hitler Is Still Alive
"Hitler is still alive" rumours have circulated since
the 1970s, fuelled by the fact that his crony Josef
Mengele hid in South America. Stories like this one,
[60] however, speculate the 125-year-old Hitler has been
responsible for various world disasters, including 9/11
and the 2010 Gulf oil spill, which happened on his
birthday. Other theories say he died in 1984 in Brazil,
aged 94. Or in Argentina, aged 73.
(Adapted from http://www.shortlist.com/entertainment/20-of-the-internets-craziest-conspiracy-theories/Acesso em: 14 de fev 2017)
Glossary:
1 - cook up – to invent a story, a plan, etc.
2 - stacked – covered with things
3 - hence – the reason, the explanation for
4 - lookalikes – similar in appearance
5 - stuffed – filled with something
6 - dig – to make a hole in the ground
7 - hollow – a hole or empty space
8 - quarter – a place to live
9 - aka – abbreviation for also known as
10 - issue – problem
11 - scaremonger – a person that creates stories that cause public fear
According to the second paragraph, the moonResolução comentada
Análise das alternativas
Directions: Read the text below and answer questions 33 to 48 according to it.
SOME OF THE INTERNET'S CRAZIEST CONSPIRACY THEORIES
Michael Jackson Is Still Alive
The advent of the internet hasn't just cooked up¹
new conspiracy theories, it's also accelerated existing
ones. If you refuse to believe that it was the Iranians that
[5] killed him, perhaps you'll be convinced that MJ is actually
still alive. Proof? His own daughter Paris Jackson took a
photo of him. Seriously. What do you mean you don't
see him? He's right there in the back seat, stacked²
under that pile of clothes wearing his iconic hat. Believe,
[10] man. Thriller Vol.2 to drop next year.
The Moon Doesn't Exist
It's no good looking at it, night after night. The
moon doesn't exist. It's a hologram, put there by persons
unknown. Of course, serial conspiracy theorist David
[15] Icke has a theory. There are also countless YouTubers
keeping an eye out, one of whom has gone as far as
"looking at it regularly for a year".
Jay Z Is A Time-Travelling Vampire
There are vast regions of the internet devoted to
[20] explaining why Jay Z is part of the Illuminati. Hence³
when this photo, which was taken in New York in 1939,
appeared last year, he was accused of being a time-
traveller. And a vampire. This video lists other old-time
celebrity lookalikes⁴, as well as suggesting that
[25] Hollywood stars don't age because they're the immortal
bloodsucking undead. Not because they're stuffed⁵ with
botox, then?
The Earth Is Hollow
Don't give up, readers. We're halfway through
[30] this list. We can make it to the end. Dig⁶ deep. Well, not
too deep. You see, the Earth is hollow⁷ and accessible
via portals at the north and south poles. Luckily though,
it's quite habitable down there, providing excellent living
quarters⁸ for the lost Viking colonies of Greenland and
[35] the Nazis, while "aliens" are in fact just visitors from the
subterranean areas.
Siri Can Predict The Apocalypse
Amazing as it may seem, given that it can't do
anything else you actually ask it to do, Siri can predict
[40] the apocalypse. When asked "What day is 27th July
2014?", Apple's assistant replied, "The opening of the
gate of Hades", aka⁹ The End Of The World. That date
has now passed without issue¹⁰. Say what you like about
the maligned MS Office paperclip, but at least he didn't
[45] scaremonger¹¹ that the end was near.
We All Live In The Matrix And Billionaires Want To Break Us Out Of It
The New Yorker’s Tad Friend claims that many
people in Silicone Valley are obsessed with the idea that
[50] we're all living in a Matrix-like simulation, and some are
taking that obsession a stage further: “Two tech
billionaires have gone so far as to secretly engage
scientists to work on breaking us out of the
simulation.”Here's hoping Mark Zuckerberg is 'The One',
[55] yeah?
Hitler Is Still Alive
"Hitler is still alive" rumours have circulated since
the 1970s, fuelled by the fact that his crony Josef
Mengele hid in South America. Stories like this one,
[60] however, speculate the 125-year-old Hitler has been
responsible for various world disasters, including 9/11
and the 2010 Gulf oil spill, which happened on his
birthday. Other theories say he died in 1984 in Brazil,
aged 94. Or in Argentina, aged 73.
(Adapted from http://www.shortlist.com/entertainment/20-of-the-internets-craziest-conspiracy-theories/Acesso em: 14 de fev 2017)
Glossary:
1 - cook up – to invent a story, a plan, etc.
2 - stacked – covered with things
3 - hence – the reason, the explanation for
4 - lookalikes – similar in appearance
5 - stuffed – filled with something
6 - dig – to make a hole in the ground
7 - hollow – a hole or empty space
8 - quarter – a place to live
9 - aka – abbreviation for also known as
10 - issue – problem
11 - scaremonger – a person that creates stories that cause public fear
“Hollywood stars don't age” (line 25). It means thatResolução comentada
Análise das alternativas
Directions: Read the text below and answer questions 33 to 48 according to it.
SOME OF THE INTERNET'S CRAZIEST CONSPIRACY THEORIES
Michael Jackson Is Still Alive
The advent of the internet hasn't just cooked up¹
new conspiracy theories, it's also accelerated existing
ones. If you refuse to believe that it was the Iranians that
[5] killed him, perhaps you'll be convinced that MJ is actually
still alive. Proof? His own daughter Paris Jackson took a
photo of him. Seriously. What do you mean you don't
see him? He's right there in the back seat, stacked²
under that pile of clothes wearing his iconic hat. Believe,
[10] man. Thriller Vol.2 to drop next year.
The Moon Doesn't Exist
It's no good looking at it, night after night. The
moon doesn't exist. It's a hologram, put there by persons
unknown. Of course, serial conspiracy theorist David
[15] Icke has a theory. There are also countless YouTubers
keeping an eye out, one of whom has gone as far as
"looking at it regularly for a year".
Jay Z Is A Time-Travelling Vampire
There are vast regions of the internet devoted to
[20] explaining why Jay Z is part of the Illuminati. Hence³
when this photo, which was taken in New York in 1939,
appeared last year, he was accused of being a time-
traveller. And a vampire. This video lists other old-time
celebrity lookalikes⁴, as well as suggesting that
[25] Hollywood stars don't age because they're the immortal
bloodsucking undead. Not because they're stuffed⁵ with
botox, then?
The Earth Is Hollow
Don't give up, readers. We're halfway through
[30] this list. We can make it to the end. Dig⁶ deep. Well, not
too deep. You see, the Earth is hollow⁷ and accessible
via portals at the north and south poles. Luckily though,
it's quite habitable down there, providing excellent living
quarters⁸ for the lost Viking colonies of Greenland and
[35] the Nazis, while "aliens" are in fact just visitors from the
subterranean areas.
Siri Can Predict The Apocalypse
Amazing as it may seem, given that it can't do
anything else you actually ask it to do, Siri can predict
[40] the apocalypse. When asked "What day is 27th July
2014?", Apple's assistant replied, "The opening of the
gate of Hades", aka⁹ The End Of The World. That date
has now passed without issue¹⁰. Say what you like about
the maligned MS Office paperclip, but at least he didn't
[45] scaremonger¹¹ that the end was near.
We All Live In The Matrix And Billionaires Want To Break Us Out Of It
The New Yorker’s Tad Friend claims that many
people in Silicone Valley are obsessed with the idea that
[50] we're all living in a Matrix-like simulation, and some are
taking that obsession a stage further: “Two tech
billionaires have gone so far as to secretly engage
scientists to work on breaking us out of the
simulation.”Here's hoping Mark Zuckerberg is 'The One',
[55] yeah?
Hitler Is Still Alive
"Hitler is still alive" rumours have circulated since
the 1970s, fuelled by the fact that his crony Josef
Mengele hid in South America. Stories like this one,
[60] however, speculate the 125-year-old Hitler has been
responsible for various world disasters, including 9/11
and the 2010 Gulf oil spill, which happened on his
birthday. Other theories say he died in 1984 in Brazil,
aged 94. Or in Argentina, aged 73.
(Adapted from http://www.shortlist.com/entertainment/20-of-the-internets-craziest-conspiracy-theories/Acesso em: 14 de fev 2017)
Glossary:
1 - cook up – to invent a story, a plan, etc.
2 - stacked – covered with things
3 - hence – the reason, the explanation for
4 - lookalikes – similar in appearance
5 - stuffed – filled with something
6 - dig – to make a hole in the ground
7 - hollow – a hole or empty space
8 - quarter – a place to live
9 - aka – abbreviation for also known as
10 - issue – problem
11 - scaremonger – a person that creates stories that cause public fear
According to paragraph 3, conspiracy theories DON’T consider thatResolução comentada
Análise das alternativas
Directions: Read the text below and answer questions 33 to 48 according to it.
SOME OF THE INTERNET'S CRAZIEST CONSPIRACY THEORIES
Michael Jackson Is Still Alive
The advent of the internet hasn't just cooked up¹
new conspiracy theories, it's also accelerated existing
ones. If you refuse to believe that it was the Iranians that
[5] killed him, perhaps you'll be convinced that MJ is actually
still alive. Proof? His own daughter Paris Jackson took a
photo of him. Seriously. What do you mean you don't
see him? He's right there in the back seat, stacked²
under that pile of clothes wearing his iconic hat. Believe,
[10] man. Thriller Vol.2 to drop next year.
The Moon Doesn't Exist
It's no good looking at it, night after night. The
moon doesn't exist. It's a hologram, put there by persons
unknown. Of course, serial conspiracy theorist David
[15] Icke has a theory. There are also countless YouTubers
keeping an eye out, one of whom has gone as far as
"looking at it regularly for a year".
Jay Z Is A Time-Travelling Vampire
There are vast regions of the internet devoted to
[20] explaining why Jay Z is part of the Illuminati. Hence³
when this photo, which was taken in New York in 1939,
appeared last year, he was accused of being a time-
traveller. And a vampire. This video lists other old-time
celebrity lookalikes⁴, as well as suggesting that
[25] Hollywood stars don't age because they're the immortal
bloodsucking undead. Not because they're stuffed⁵ with
botox, then?
The Earth Is Hollow
Don't give up, readers. We're halfway through
[30] this list. We can make it to the end. Dig⁶ deep. Well, not
too deep. You see, the Earth is hollow⁷ and accessible
via portals at the north and south poles. Luckily though,
it's quite habitable down there, providing excellent living
quarters⁸ for the lost Viking colonies of Greenland and
[35] the Nazis, while "aliens" are in fact just visitors from the
subterranean areas.
Siri Can Predict The Apocalypse
Amazing as it may seem, given that it can't do
anything else you actually ask it to do, Siri can predict
[40] the apocalypse. When asked "What day is 27th July
2014?", Apple's assistant replied, "The opening of the
gate of Hades", aka⁹ The End Of The World. That date
has now passed without issue¹⁰. Say what you like about
the maligned MS Office paperclip, but at least he didn't
[45] scaremonger¹¹ that the end was near.
We All Live In The Matrix And Billionaires Want To Break Us Out Of It
The New Yorker’s Tad Friend claims that many
people in Silicone Valley are obsessed with the idea that
[50] we're all living in a Matrix-like simulation, and some are
taking that obsession a stage further: “Two tech
billionaires have gone so far as to secretly engage
scientists to work on breaking us out of the
simulation.”Here's hoping Mark Zuckerberg is 'The One',
[55] yeah?
Hitler Is Still Alive
"Hitler is still alive" rumours have circulated since
the 1970s, fuelled by the fact that his crony Josef
Mengele hid in South America. Stories like this one,
[60] however, speculate the 125-year-old Hitler has been
responsible for various world disasters, including 9/11
and the 2010 Gulf oil spill, which happened on his
birthday. Other theories say he died in 1984 in Brazil,
aged 94. Or in Argentina, aged 73.
(Adapted from http://www.shortlist.com/entertainment/20-of-the-internets-craziest-conspiracy-theories/Acesso em: 14 de fev 2017)
Glossary:
1 - cook up – to invent a story, a plan, etc.
2 - stacked – covered with things
3 - hence – the reason, the explanation for
4 - lookalikes – similar in appearance
5 - stuffed – filled with something
6 - dig – to make a hole in the ground
7 - hollow – a hole or empty space
8 - quarter – a place to live
9 - aka – abbreviation for also known as
10 - issue – problem
11 - scaremonger – a person that creates stories that cause public fear
The sentence “Don't give up” (line 29) in the affirmative form isResolução comentada
Análise das alternativas
Ao fatorar e efetuar as simplificações na fração
Até a primeira quinzena do mês de março de 2017, o combustível comercializado nos postos de nosso país era uma mistura de 1 parte de etanol para 3 partes de gasolina.
O gráfico a seguir é de uma função polinomial do 1º grau e descreve a velocidade v de um móvel em função do tempo t:
Carlos, Paulo e José resolveram fazer um lanche na praça de alimentação de um shopping center.
Uma revendedora de automóveis usados apresenta um modelo e o anuncia por x reais.
De acordo com o senso comum, parece que a juventude tem gosto por aventuras radicais. Os alunos do CPCAR não fogem dessa condição.
Numa doceria comprei dois tipos de doce. Do primeiro tipo, 6 unidades de determinado valor unitário. Do segundo tipo, cujo valor unitário é 3 reais mais caro que o primeiro tipo, comprei uma quantidade que equivale ao dobro do valor unitário do primeiro tipo. Entreguei seis notas de 50 reais para pagar tal compra e recebi 30 reais de troco.
Considere a figura e os dados a seguir:
Com a intenção de padronizar as barracas dos vendedores ambulantes, a prefeitura da cidade de Eulerópolis solicitou a uma empresa especializada no ramo que fizesse um orçamento do material a ser empregado e do custo para finalização das barracas.
Na figura a seguir, os eixos x e y formam o sistema cartesiano ortogonal e a circunferência tem centro em O e raio igual a 1 cm. A reta r é tangente a circunferência em T, intercepta o eixo y em B, e C é a projeção ortogonal de T sobre o eixo x.
As ideias de rotação e de simetria de seres/objetos não são um privilégio da Matemática, muito embora a noção de beleza, estreitamente ligada à Arte e à Natureza, também não esteja isenta de uma noção matemática.
Uma consulta pública realizada pelo Instituto que organiza a aplicação do Exame Nacional do Ensino Médio, em fevereiro de 2017, visou conhecer a preferência sobre os possíveis modelos de aplicação do Exame:
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