Prova EFOMM 2020 comentada: questões e gabarito

EFOMM2020Dia 2Questao 1MatemáticaLimitesDificil

Sejam os números reais

a

e

b

tais que

lim_{x \to 0} \frac{3 a x + b - 2}{x} = \frac{7}{12}

. O valor do produto

a \cdot b

é

A)52
B)56
C)63
D)70
E)84

EFOMM2020Dia 1Questao 1InglêsInterpretação de textoMedia

Read the text below and choose the correct option. Buy a beach cruiser and help save sea turtles on Kiawah Every spring, fierce female sea turtles—mostly loggerheads—make their way from the ocean to Kiawah Island during nesting season. From May through October, Kiawah's beaches are home to 400 nests and thousands of baby loggerheads. But many of these endangered hatchlings would not survive without the island's hands-on nest protection program. Specifically, the Kiawah Island Turtle Patrol efforts that help 75% of hatchlings make it from their nests to the ocean. Without these efforts: less than 10% have a chance. Sea turtles are an endangered species and the loggerhead turtle has been on the threatened list since 1978. Over the years, the Kiawah Island Turtle Patrol has become one of the largest volunteer turtle efforts in the United States. From relocating nests to helping hatchlings find the sea, volunteering is open to island residents and guests, and the program relies on the community to help raise awareness about the importance of nesting season. This May, you'll see a custom fleet of beach cruisers with an original turtle print designed by Peter Millar at the new Timbers Kiawah Ocean Club and Residences. “We approached Peter Millar, a favorite on Kiawah, to design a turtle-patterned bike as a fun way to raise our owners' awareness about the turtles and show our commitment to protecting the wildlife on Kiawah”, says Chris Burden, managing director for Timbers Kiawah. You don't have to be a Timbers' owner to help: the limited-edition beach cruisers are for sale to the public and 100% of the proceeds go to the turtle patrol. “Kiawah Island is one of the country's most vital nesting areas for loggerhead sea turtles and the turtle patrol is responsible for nesting patrols and monitoring efforts up and down the beach. The contributions will be used to fund their initiatives in whatever way they see fit”, Burden says. Anyone can volunteer in the nesting and hatching programs by contacting Kiawah Island Turtle Patrol. (Abridged and adapted from https://www.newsweek.com/iawah-save-turtles-1412015) It is possible to infer from the text that

A)the island's hands-on nest protection program has been jeopardizing the offspring.
B)hatchlings are imperilled.
C)the purpose of the protection program is to cheat the community.
D)the nesting and hatching programs are compulsory.
E)it is a pointless effort to raise awareness of the community.

EFOMM2020Dia 2Questao 2MatemáticaFunçõesDificil

Seja

f : N \to N

uma função tal que

f (m \cdot n) = n \cdot f (m) + m \cdot f (n)

para todos os naturais

m

e

n

. Se

f (20) = 3

,

f (14) = 1, 25

e

f (35) = 4

, então, o valor de

f (8)

é

A)1
B)2
C)3
D)4
E)5

EFOMM2020Dia 1Questao 2InglêsInterpretação de textoMedia

Based on the text below, answer questions 2, 3 and 4. Are shipping containers the future of affordable housing? Millions of people need homes. Millions of shipping containers are going unused. Could this be an answer to the global housing crisis? Cleveland Containers explore further. England is facing a housing crisis. According to housing charity Shelter, more than 50,000 households a year are being forced out of their homes, and there are more than 9 million renters in unsecure rented accommodations. The situation is shaky even for those who own their own homes. 28,900 homes were repossessed across the UK in 2013. But this situation isn't unique to England. House prices are soaring across the world, which is placing home ownership out of reach for millions. And that's just in the developed world. Around 850 million people are currently living in “informal settlements”. In numerous rapidly urbanising cities, the average housing costs can be up to 200% of the net monthly income. There is no single explanation as to why the world's facing a housing crisis, and there's no easy answer for how to solve it. But one major factor is a general dearth of good quality, affordable housing. Many developments in the housing market are focused on constructing high-end units that are expensive to build and out of the price range of most. This needs to change. Desperate times often call for radical solutions. One thing the world isn't lacking is shipping containers. There may be up to 40 million shipping containers in the world right now, and experts believe that only six million are currently in use. Who'd live in a shipping container? Shipping containers are built to be strong, secure and practical. These are all sound benefits for storage and mass transit, but do they make for comfortable accommodation? The idea of living in a shipping container might strike some as odd, unfeasible, impractical and maybe even a little unappealing. But it's important to think of shipping containers not as finished products, but as raw materials — as exoskeletons for future homes. Because, really, there's no end to what you can do with a shipping container. They can easily be insulated and fitted with windows, doors, indoor partitions, electricity and running water — everything that's needed for human inhabitation. A single shipping container can be transformed into a cosy dwelling in no time at all. But if more space is needed, you can just stack multiple containers on top of each other. And if you're really wondering whether people would be comfortable living in converted shipping containers, just consider the great reaction that greets shipping containers converted for retail use. They're thought of as cool, hip and quirky. When used as affordable housing, it's no stretch to say that many won't think of shipping containers as a last resort, so much as actively desirable. (Abridged and adapted from https://www.openaccessgovernment.org) Read the statements about the text and decide whether they are TRUE (T) or FALSE (F). Mark the correct option. I – There is a surfeit of dwellings in England. II – Housing is wobbly in England. III – House prices are steep worldwide. IV – Home ownership is attainable for many people. V – Living in a shipping container is alluring and ordinary throughout the world.

A)I - (F) / II - (T) / III - (T) / IV - (F) / V - (F)
B)I - (T) / II - (F) / III - (F) / IV - (T) / V - (F)
C)I - (T) / II - (T) / III - (T) / IV - (F) / V - (T)
D)I - (F) / II - (F) / III - (F) / IV - (T) / V - (F)
E)I - (F) / II - (T) / III - (F) / IV - (T) / V - (T)

EFOMM2020Dia 2Questao 3MatemáticaInequações e porcentagemMedia

A inequação

∣ x ∣ + ∣2 x - 8∣ \leq ∣ x + 8∣

é satisfeita por um número de valores inteiros de

x

igual a

A)5
B)6
C)7
D)8
E)9

EFOMM2020Dia 1Questao 3InglêsVocabulárioMedia

Based on the text below, answer questions 2, 3 and 4. Are shipping containers the future of affordable housing? Millions of people need homes. Millions of shipping containers are going unused. Could this be an answer to the global housing crisis? Cleveland Containers explore further. England is facing a housing crisis. According to housing charity Shelter, more than 50,000 households a year are being forced out of their homes, and there are more than 9 million renters in unsecure rented accommodations. The situation is shaky even for those who own their own homes. 28,900 homes were repossessed across the UK in 2013. But this situation isn't unique to England. House prices are soaring across the world, which is placing home ownership out of reach for millions. And that's just in the developed world. Around 850 million people are currently living in “informal settlements”. In numerous rapidly urbanising cities, the average housing costs can be up to 200% of the net monthly income. There is no single explanation as to why the world's facing a housing crisis, and there's no easy answer for how to solve it. But one major factor is a general dearth of good quality, affordable housing. Many developments in the housing market are focused on constructing high-end units that are expensive to build and out of the price range of most. This needs to change. Desperate times often call for radical solutions. One thing the world isn't lacking is shipping containers. There may be up to 40 million shipping containers in the world right now, and experts believe that only six million are currently in use. Who'd live in a shipping container? Shipping containers are built to be strong, secure and practical. These are all sound benefits for storage and mass transit, but do they make for comfortable accommodation? The idea of living in a shipping container might strike some as odd, unfeasible, impractical and maybe even a little unappealing. But it's important to think of shipping containers not as finished products, but as raw materials — as exoskeletons for future homes. Because, really, there's no end to what you can do with a shipping container. They can easily be insulated and fitted with windows, doors, indoor partitions, electricity and running water — everything that's needed for human inhabitation. A single shipping container can be transformed into a cosy dwelling in no time at all. But if more space is needed, you can just stack multiple containers on top of each other. And if you're really wondering whether people would be comfortable living in converted shipping containers, just consider the great reaction that greets shipping containers converted for retail use. They're thought of as cool, hip and quirky. When used as affordable housing, it's no stretch to say that many won't think of shipping containers as a last resort, so much as actively desirable. (Abridged and adapted from https://www.openaccessgovernment.org) In the excerpt “But one major factor is a general dearth of good quality, affordable housing.”, the word in bold means:

A)wealthy
B)paucity
C)surplus
D)amount
E)glut

EFOMM2020Dia 2Questao 4MatemáticaBinômio de NewtonMedia

Assinale a alternativa que apresenta o termo independente de

x

na expansão binomial

(x^{2} + \frac{1}{x ^{6}})^{8}

.

A)1
B)8
C)28
D)56
E)70

EFOMM2020Dia 1Questao 4InglêsInterpretação de textoFacil

Based on the text below, answer questions 2, 3 and 4. Are shipping containers the future of affordable housing? Millions of people need homes. Millions of shipping containers are going unused. Could this be an answer to the global housing crisis? Cleveland Containers explore further. England is facing a housing crisis. According to housing charity Shelter, more than 50,000 households a year are being forced out of their homes, and there are more than 9 million renters in unsecure rented accommodations. The situation is shaky even for those who own their own homes. 28,900 homes were repossessed across the UK in 2013. But this situation isn't unique to England. House prices are soaring across the world, which is placing home ownership out of reach for millions. And that's just in the developed world. Around 850 million people are currently living in “informal settlements”. In numerous rapidly urbanising cities, the average housing costs can be up to 200% of the net monthly income. There is no single explanation as to why the world's facing a housing crisis, and there's no easy answer for how to solve it. But one major factor is a general dearth of good quality, affordable housing. Many developments in the housing market are focused on constructing high-end units that are expensive to build and out of the price range of most. This needs to change. Desperate times often call for radical solutions. One thing the world isn't lacking is shipping containers. There may be up to 40 million shipping containers in the world right now, and experts believe that only six million are currently in use. Who'd live in a shipping container? Shipping containers are built to be strong, secure and practical. These are all sound benefits for storage and mass transit, but do they make for comfortable accommodation? The idea of living in a shipping container might strike some as odd, unfeasible, impractical and maybe even a little unappealing. But it's important to think of shipping containers not as finished products, but as raw materials — as exoskeletons for future homes. Because, really, there's no end to what you can do with a shipping container. They can easily be insulated and fitted with windows, doors, indoor partitions, electricity and running water — everything that's needed for human inhabitation. A single shipping container can be transformed into a cosy dwelling in no time at all. But if more space is needed, you can just stack multiple containers on top of each other. And if you're really wondering whether people would be comfortable living in converted shipping containers, just consider the great reaction that greets shipping containers converted for retail use. They're thought of as cool, hip and quirky. When used as affordable housing, it's no stretch to say that many won't think of shipping containers as a last resort, so much as actively desirable. (Abridged and adapted from https://www.openaccessgovernment.org) According to the text, shipping containers

A)can be a menace for people.
B)are a rip off.
C)are usually rotten.
D)never tarnish.
E)can be snug.

EFOMM2020Dia 1Questao 5InglêsGramáticaMedia

Choose the correct option to complete the paragraph below. Is an autonomous ship a 'ship' in the eyes of the law? Different definitions of 'ship' appear in different statutes and conventions, and it has often fallen to judges to decide if a floating object is, or is not, a 'ship'. _____ , none of the definitions of 'ship' requires that the floating object be manned, generally simply requiring that it be used or be capable of being used in navigation. Whether this is by remote control or fully autonomous would not appear to be a problem in terms of the legal definition of a 'ship'. It appears probable, _____ , that autonomous ships are likely to fall within the legal definition of 'ship' and so will have to comply with the relevant laws and conventions _____ the laws themselves might require some modification. (Abridged from SEAWAYS – The International Journal of the Nautical Institute. Dec/2017).

A)Also / however / even so
B)Because / otherwise / anyhow
C)Moreover / instead / in addition
D)Hence / as well / in spite of
E)However / therefore / although

EFOMM2020Dia 2Questao 5MatemáticaAnálise combinatóriaDificilAnulada

Quantos são os anagramas da palavra MERCANTE que possuem a letra M na 1ª posição (no caso, a posição de origem), ou a letra E na 2ª posição, ou a letra R na 3ª posição?

A)60
B)120
C)10920
D)12600
E)15120

EFOMM2020Dia 1Questao 6InglêsPreposiçõesMedia

Choose the correct alternative to complete the excerpt below. “I agonized _____ whether I wanted to splurge _____ a private tour and have a little more autonomy _____ where we went and how long we spent _____ each place, but ultimately went _____ a Gamma Travel group tour.” (Abridged from: https://www.businessinsider.com.au/visiting-chernobyl-after-the-n...)

A)on / at / on / at / in
B)about / in / in / in / on
C)over / on / over / at / with
D)in / over / – / in / on
E)– / about / – / in / with

EFOMM2020Dia 2Questao 6MatemáticaGeometria espacialDificil

Seja a esfera de raio

R

inscrita na pirâmide quadrangular regular de aresta da base

2

cm e aresta lateral

38

cm. Sabendo-se que a esfera tangencia todas as faces da pirâmide, o valor de

R

, em cm, é

A) $\frac{37 + 1}{6}$
B) $\frac{39 - 1}{38}$
C) $\frac{6 38 + 12}{17}$
D) $\frac{37 - 1}{6}$
E) $\frac{6 38 - 12}{17}$

Prova EFOMM 2020: questões por disciplina

O que caiu na prova 2020

Questões da prova EFOMM 2020

Treine direto nas questões reais