Prova EFOMM 2023 comentada: questões e gabarito

EFOMM2023Dia 1Questao 1InglêsCompreensão de textoMedia

Text I Read the text below and mark questions 1, 2 and 3. The invasion of Ukraine is causing crisis at sea Russian ships have nowhere to dock, and supply chains will suffer. The United Kingdom has banned Russian ships from calling on its ports, and the European Union (EU) is about to do the same. The world's three largest shipping lines will no longer call on Russian ports. Ukraine's ports are closed. Russian's invasion of Ukraine is wreaking havoc on global shipping, which transports 80 per cent of the world's trade. Ships are now sailing the oceans unable to deliver and pick up cargo while some 140 other merchant vessels are stuck in Ukrainian ports, at risk of coming under fire and with food and other provisions running low. The rest of the world should care about their desperate situation – if nothing else because the cargo they carry is crucial to our daily lives. On March 1, the crude oil tanker NS Champion suddenly encountered an urgent problem. It was steering toward Scotland's Orkeney oil terminal. Like many other cargo vessels, the NS Champion sails under a Liberian flag, but it is owned by Sovcomflot, Russia's largest shipping company, and on Feb. 24 the U.S. government had placed the company under sanctions. Even so, the tanker had the right to make its next port of call, because sanctions don't affect ships that are already en route. But before it arrived, the British government announced it was immediately closing U.K. ports to Russian vessels. The Champion had to sail on, oil undelivered, to its next port of call, Denmark's Port of Skagen. Very soon, it won't be able to deliver its oil there either. The EU is expected to imminently follow the U.K.'s lead and close its ports to vessels owned or operated by Russian companies or sailing under the Russian flag. Canada already has. Switzerland-based Mediterranean Shipping Company, the world's largest shipping company has announced that it's suspending all container traffic to and from Russia. So have the other two members of global shipping's top three, Denmark-based Maersk and France's CMA CGM. Singapore-based Ocean Network Express and Germany's Hapag-Lloyd had already made similar announcements. The companies will only make humanitarian deliveries, usually understood as food and medication. That means Russia will be cut off from much of the world, able to send and receive goods only via primarily Asian shipping companies such as China's COSCO. Ukraine, meanwhile, has already been cut off. The week before the invasion, maritime insurers red-listed the Russian and Ukrainian parts of the Black Sea and the Sea of Azov, making it difficult and expensive for ships to sail through the waters. When Russia invaded last month, Ukraine closed its ports. The country is already running low on oxygen and other medical supplies. (Adapted from: foreignpolicy.com/2022/03/07/ukraine-shipping-supply-w...) According to the text,

A)there is a surfeit of food in the Ukrainian ports.
B)the Russian invasion is laying waste to global shipping.
C)the Russian seizure of Ukraine is panning out.
D)worldwide shipping is making strides on account of the Russian invasion.
E)global shipping is thriving as a result of the Ukrainian occupation.

EFOMM2023Dia 2Questao 1MatemáticaPotenciação e fatoraçãoMedia

Da expressão numérica abaixo, resulta um número inteiro

k

.

\frac{3 ^{12} - 2 ^{12}}{( 3 ^{6} + 2 ^{6} ) ( 3 ^{3} + 2 ^{3} )}

A diferença entre o maior e o menor algarismo que compõem

k

é

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

EFOMM2023Dia 2Questao 2MatemáticaDeterminantesMedia

Considere a matriz quadrada

B

, de ordem 3, representada abaixo.

B = sen 21 0^{\circ} 2 cos 72 0^{\circ} sen 63 0^{\circ} y cos 144 0^{\circ} tg 22 5^{\circ} - 2 tg 18 0^{\circ}

Se o determinante dessa matriz é igual a 1, o valor de

y

corresponde a

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

EFOMM2023Dia 1Questao 2InglêsCompreensão de textoDificil

Text I Read the text below and mark questions 1, 2 and 3. The invasion of Ukraine is causing crisis at sea Russian ships have nowhere to dock, and supply chains will suffer. The United Kingdom has banned Russian ships from calling on its ports, and the European Union (EU) is about to do the same. The world's three largest shipping lines will no longer call on Russian ports. Ukraine's ports are closed. Russian's invasion of Ukraine is wreaking havoc on global shipping, which transports 80 per cent of the world's trade. Ships are now sailing the oceans unable to deliver and pick up cargo while some 140 other merchant vessels are stuck in Ukrainian ports, at risk of coming under fire and with food and other provisions running low. The rest of the world should care about their desperate situation – if nothing else because the cargo they carry is crucial to our daily lives. On March 1, the crude oil tanker NS Champion suddenly encountered an urgent problem. It was steering toward Scotland's Orkeney oil terminal. Like many other cargo vessels, the NS Champion sails under a Liberian flag, but it is owned by Sovcomflot, Russia's largest shipping company, and on Feb. 24 the U.S. government had placed the company under sanctions. Even so, the tanker had the right to make its next port of call, because sanctions don't affect ships that are already en route. But before it arrived, the British government announced it was immediately closing U.K. ports to Russian vessels. The Champion had to sail on, oil undelivered, to its next port of call, Denmark's Port of Skagen. Very soon, it won't be able to deliver its oil there either. The EU is expected to imminently follow the U.K.'s lead and close its ports to vessels owned or operated by Russian companies or sailing under the Russian flag. Canada already has. Switzerland-based Mediterranean Shipping Company, the world's largest shipping company has announced that it's suspending all container traffic to and from Russia. So have the other two members of global shipping's top three, Denmark-based Maersk and France's CMA CGM. Singapore-based Ocean Network Express and Germany's Hapag-Lloyd had already made similar announcements. The companies will only make humanitarian deliveries, usually understood as food and medication. That means Russia will be cut off from much of the world, able to send and receive goods only via primarily Asian shipping companies such as China's COSCO. Ukraine, meanwhile, has already been cut off. The week before the invasion, maritime insurers red-listed the Russian and Ukrainian parts of the Black Sea and the Sea of Azov, making it difficult and expensive for ships to sail through the waters. When Russia invaded last month, Ukraine closed its ports. The country is already running low on oxygen and other medical supplies. (Adapted from: foreignpolicy.com/2022/03/07/ukraine-shipping-supply-w...) It is possible to infer from the text that

A)humanitarian assistance is beside the point.
B)the transportation of goods is plain sailing.
C)penalties imposed by the U.S. government pose threats to vessels already on the way.
D)the European Union is on the verge of casting out Russian ships from dropping into its ports.
E)China refrained from backing Russia.

EFOMM2023Dia 2Questao 3MatemáticaGeometria espacialMedia

A pirâmide de Quéops, a maior do Egito, tem como base um quadrado de 230 metros de lado. A reta que passa pelo centro da base e pelo ponto mais elevado (vértice) dessa pirâmide é perpendicular à base. O segmento de reta com extremos no vértice e no ponto médio de um lado da base forma com o plano da base um ângulo obtuso de medida

α

tal que

cos α = - 0, 6

. A altura da pirâmide é, aproximadamente, de

A)149 metros
B)151 metros
C)153 metros
D)155 metros
E)157 metros

EFOMM2023Dia 1Questao 3InglêsVocabulárioMedia

Text I Read the text below and mark questions 1, 2 and 3. The invasion of Ukraine is causing crisis at sea Russian ships have nowhere to dock, and supply chains will suffer. The United Kingdom has banned Russian ships from calling on its ports, and the European Union (EU) is about to do the same. The world's three largest shipping lines will no longer call on Russian ports. Ukraine's ports are closed. Russian's invasion of Ukraine is wreaking havoc on global shipping, which transports 80 per cent of the world's trade. Ships are now sailing the oceans unable to deliver and pick up cargo while some 140 other merchant vessels are stuck in Ukrainian ports, at risk of coming under fire and with food and other provisions running low. The rest of the world should care about their desperate situation – if nothing else because the cargo they carry is crucial to our daily lives. On March 1, the crude oil tanker NS Champion suddenly encountered an urgent problem. It was steering toward Scotland's Orkeney oil terminal. Like many other cargo vessels, the NS Champion sails under a Liberian flag, but it is owned by Sovcomflot, Russia's largest shipping company, and on Feb. 24 the U.S. government had placed the company under sanctions. Even so, the tanker had the right to make its next port of call, because sanctions don't affect ships that are already en route. But before it arrived, the British government announced it was immediately closing U.K. ports to Russian vessels. The Champion had to sail on, oil undelivered, to its next port of call, Denmark's Port of Skagen. Very soon, it won't be able to deliver its oil there either. The EU is expected to imminently follow the U.K.'s lead and close its ports to vessels owned or operated by Russian companies or sailing under the Russian flag. Canada already has. Switzerland-based Mediterranean Shipping Company, the world's largest shipping company has announced that it's suspending all container traffic to and from Russia. So have the other two members of global shipping's top three, Denmark-based Maersk and France's CMA CGM. Singapore-based Ocean Network Express and Germany's Hapag-Lloyd had already made similar announcements. The companies will only make humanitarian deliveries, usually understood as food and medication. That means Russia will be cut off from much of the world, able to send and receive goods only via primarily Asian shipping companies such as China's COSCO. Ukraine, meanwhile, has already been cut off. The week before the invasion, maritime insurers red-listed the Russian and Ukrainian parts of the Black Sea and the Sea of Azov, making it difficult and expensive for ships to sail through the waters. When Russia invaded last month, Ukraine closed its ports. The country is already running low on oxygen and other medical supplies. (Adapted from: foreignpolicy.com/2022/03/07/ukraine-shipping-supply-w...) The invasion of Ukraine is wreaking havoc on global shipping. That means it _____________ international freight.

A)is fostering
B)is uplifting
C)is strengthening
D)is evolving
E)is ravaging

EFOMM2023Dia 1Questao 4InglêsPreposiçõesMedia

Read the excerpt and mark questions 4, 5 and 6. Seafarers are being fired I._____ II._____ military vessels, one seafarer has been killed, and others remain trapped III._____ the Sea of Azov and IV._____ the Black Sea coast. Others have lost their jobs or cannot access their salaries. Seafarers are suffering because of war. They are V._____ a precarious position yet again. (Adapted from: https://www.globalmaritimeforum.org.news>war-in-uk.) Mark the option with the correct sequence to complete the previous excerpt.

A)I – upon / II – by / III – in / IV – along / V – in
B)I – from / II – in / III – on / IV – around / V – on
C)I – in / II – of / III – at / IV – over / V – at
D)I – on / II – from / III – around / IV – in / V – on
E)I – of / II – on / III – by / IV – under / V – with

EFOMM2023Dia 2Questao 4MatemáticaGeometria espacialMedia

Duas caixas cúbicas A e B têm volumes, em litros, respectivamente iguais a

V

e

4 V

. Calculando-se a razão entre as áreas de suas bases, em dm², das caixas B e A, respectivamente, obtemos

A) $32$
B) $34$
C)2
D) $232$
E) $234$

EFOMM2023Dia 2Questao 5MatemáticaEquações do 2º grauMedia

Sejam

p

e

q

as raízes da equação

x^{2} - 2 x + k = 0

, em que

k

é um número real diferente de zero. Se

\frac{1}{p ^{2}} + \frac{1}{q ^{2}} = 6,

então o produto dos possíveis valores de

k

é

A) $- 1$
B) $- \frac{2}{3}$
C) $\frac{1}{3}$
D) $\frac{2}{3}$
E) $\frac{3}{2}$

EFOMM2023Dia 1Questao 5InglêsIdioms e expressões idiomáticasDificil

Read the excerpt and mark questions 4, 5 and 6. Seafarers are being fired I._____ II._____ military vessels, one seafarer has been killed, and others remain trapped III._____ the Sea of Azov and IV._____ the Black Sea coast. Others have lost their jobs or cannot access their salaries. Seafarers are suffering because of war. They are V._____ a precarious position yet again. (Adapted from: https://www.globalmaritimeforum.org.news>war-in-uk.) According to the previous excerpt, seafarers are undergoing a treacherous situation. Which statement is the odd one out?

A)They are in a fix.
B)They are going through a sticky patch.
C)They are painting the town red.
D)They are on a razor edge.
E)They are having a thin time of it.

EFOMM2023Dia 2Questao 6MatemáticaConjuntos numéricos e dízimasMedia

Analise as proposições abaixo e assinale a alternativa correta. I) Se

x

e

y

são números racionais, então

x^{y}

pode ser um número irracional. II) Se

x

e

y

são números irracionais, então o produto

x y

é também irracional. III) Para todo

x

real, tem-se que

x \leq x^{4}

.

A)Apenas a proposição I está correta
B)Apenas a proposição II está correta
C)Apenas a proposição III está correta
D)Apenas as proposições I e III estão corretas
E)Apenas as proposições II e III estão corretas

EFOMM2023Dia 1Questao 6InglêsIdioms e expressões idiomáticasDificil

Read the excerpt and mark questions 4, 5 and 6. Seafarers are being fired I._____ II._____ military vessels, one seafarer has been killed, and others remain trapped III._____ the Sea of Azov and IV._____ the Black Sea coast. Others have lost their jobs or cannot access their salaries. Seafarers are suffering because of war. They are V._____ a precarious position yet again. (Adapted from: https://www.globalmaritimeforum.org.news>war-in-uk.) Read the previous excerpt and decide if the following statements are True (T) or False (F). Mark the option with the correct sequence. Concerning seafarers, it is possible to say that I - they are having a ball. II - they are not in a tight corner. III - one has been bumped off. IV - they are well-heeled. V - they are being laid off.

A)T - F - T - F - F
B)F - T - F - F - F
C)T - T - F - T - F
D)T - F - T - T - T
E)F - F - T - F - T

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