← Voltar para a lista de provas Marinha do Brasil — Escola Naval · Concurso Público de Admissão à Escola Naval (CPAEN/2025) 40 questões nesta prova · página 2 de 2 · 40 com gabarito Gabarito disponível Gabarito disponível Área do polígono pela fórmula de Shoelace: 29. Somando xᵢyᵢ₊₁ − xᵢ₊₁yᵢ para os pares consecutivos de vértices: 1 + 1 + 38 + 4 + 28 + 0 − 14 = 58. A área é metade do módulo dessa soma: 58/2 = 29. 39, 19, 10 e 9 não resultam da aplicação correta da fórmula. Provêm de erros de sinal ou de soma nos produtos cruzados. Referência: Geometria analítica: área de polígono por determinantes (Shoelace). Resolução comentada do VaiConcursos. Gabarito disponível O pronome 'it' retoma 'peanut butter'. No parágrafo 7, 'Those things' são os acompanhamentos citados (carboidrato, proteína, fruta ou vegetais). Eles ajudam a equilibrar a pasta de amendoim, que é o tema central do trecho. O 'it' retoma, portanto, 'peanut butter'. A, B, C e D) Maçã, torrada de banana, smoothie e aveia são exemplos de combinações. Eles fazem parte do que 'Those things' designa e não são aquilo que se equilibra. E) Correta. Referência: Referência pronominal (coesão textual). Resolução comentada do VaiConcursos. Gabarito disponível Segundo o texto, as necessidades de proteína variam de pessoa para pessoa. No parágrafo 3, a nutricionista recomenda pelo menos 20 g de proteína por refeição, mas ressalva que 'everyone has different needs'. Logo, há pessoas que não precisam consumir esse mínimo, o que torna D correta. A) A Harvard Health apenas informa a RDA. Quem defende quantidades maiores são 'diet experts'. B) O texto diz que a pasta de amendoim deve ser parte pequena de refeições variadas e que há opções melhores de proteína. C) Nadeau não fala em combinar a pasta com outras fontes de proteína. Quem sugere combinações é Thomason. E) Uma porção são duas colheres de sopa, não uma, e o texto dá cerca de 200 calorias por porção (600 kcal para quase três porções). Referência: Interpretação de texto em inglês, parágrafos 2, 3, 5, 6 e 8 do Text I. Resolução comentada do VaiConcursos. Gabarito disponível Sentido de 'selfless' no texto: generoso, altruísta. 'Selfless' significa desprendido, que pensa nos outros antes de si. No parágrafo 8, 'selfless assistance from fellow travelers' é a ajuda generosa dos companheiros de viagem. Por isso 'generous' é o sinônimo mais próximo. B) 'quick' significa rápido. C) 'recent' significa recente. D) 'selfish' é egoísta, o antônimo. E) 'unexpected' significa inesperado. Referência: Vocabulário em contexto (formação de palavras com o sufixo -less). Resolução comentada do VaiConcursos. Gabarito disponível Sequência correta: F, T, F, T, F. 1) F: Liu era experiente. 2) V: coletaram água da chuva com as máscaras e beberam. 3) F: eram sete tubarões, não uma dúzia. 4) V: os tubarões não agiram de forma agressiva e eles escaparam do perigo. 5) F: foram resgatados por um barco de resgate, não pelo capitão do próprio barco. As demais opções trocam o valor de ao menos um dos itens. Referência: Text II, parágrafos 1 a 6. Resolução comentada do VaiConcursos. Gabarito disponível "However" marca o contraste com o esperado. O parágrafo diz que normalmente o capitão seguiria os mergulhadores. A lacuna introduz o oposto: ao emergirem, não acharam o barco. O conectivo de contraste é "However". A) "Unless" (a menos que) não cabe aqui. B) "Besides" adiciona informação. C) "As a result" indica consequência. E) "Before that" indica ordem temporal. Referência: Linking words. Resolução comentada do VaiConcursos. Gabarito disponível O texto atribui a volta segura à condição física e à atitude positiva. No parágrafo 8, Liu cita como razões principais o excelente estado físico e a atitude positiva do grupo. Isso torna C correta. A) Os tubarões não foram atraídos por Liu, e ele reuniu o grupo para parecerem maiores. B) As correntes foram descritas como favoráveis, pois os mantiveram perto do local inicial. D) Todos se revezavam nas chamadas dos números. E) Eles disseram que ficaram sem reclamações. Referência: Text II, parágrafos 3 a 8. Resolução comentada do VaiConcursos. Gabarito disponível Gabarito disponível Gabarito disponível Managed pede infinitivo com to: managed to arrive. "Manage" é seguido de infinitivo com "to", o que torna E correta. A) "Agree" pede infinitivo (agreed to work). B) Após modal não se usa "to" (mustn't drive). C) "Refuse" pede infinitivo (refuses to tell). D) "Can't help" pede gerúndio (feeling). Referência: Gerund and infinitive. Resolução comentada do VaiConcursos. Gabarito disponível Artigos: - / - / an / - "Throughout history" não leva artigo (história em geral). "Narration" é substantivo incontável usado de forma geral, sem artigo. Antes de "important" (som de vogal) usa-se "an". "Human development" é genérico, sem artigo. As demais colocam "the" ou "a" onde o sentido é geral, ou deixam de usar "an" antes de "important". Referência: Articles. Resolução comentada do VaiConcursos. Gabarito disponível "Cheaper" é o comparativo correto de cheap. "Cheap" tem uma sílaba e forma o comparativo com -er: "cheaper". A frase "You can buy cheaper smartphones online" está correta. A) O correto seria "more crowded". B) O correto seria "as easy as". C) O superlativo seria "the friendliest" ou "the most friendly". E) O superlativo seria "the best option". Referência: Comparatives and superlatives. Resolução comentada do VaiConcursos. Gabarito disponível Para usar o dicionário do amigo: Can I borrow your dictionary? "Borrow" é pegar emprestado, e "lend" é emprestar. Quem quer usar o dicionário de outra pessoa pergunta "Can I borrow your dictionary?". A) "Can you borrow" inverte os papéis. B) "Lend" está no sentido errado. C) Oferece o dicionário ao amigo. E) "Borrow me" é estrutura incorreta. Referência: Borrow vs. lend. Resolução comentada do VaiConcursos. Gabarito disponível Tempos: have been serving / play / will be / saw. "For over a century" pede o present perfect continuous ("have been serving"). "Today" pede o presente ("play"). "By 2026" pede o futuro ("will be"). A última lacuna narra uma ação passada com datas definidas (2015/16 a 2017/18), então usa o passado simples ("saw"). A) "Had been serving" e "has played" não concordam com "women" no presente. C, D e E têm tempos incompatíveis com as marcas temporais do texto. Referência: Verb tenses. Resolução comentada do VaiConcursos. Gabarito disponível Voz passiva no passado: was + particípio (struck). A voz passiva exige o verbo to be + particípio. Como o sujeito é singular ("Bridge"), usa-se "was", e o particípio de "strike" é "struck". Logo: "was struck". A) "Strike" não é particípio. C) Não há auxiliar be. D) "Were" não concorda com sujeito singular e "strike" não é particípio. E) "Were" não concorda com sujeito singular. Referência: Passive voice. Resolução comentada do VaiConcursos. Gabarito disponível Não se usa "will" na oração com if; E é a incorreta. Em condicionais, a oração com "if" não leva "will" para o futuro. Na alternativa E, "if anonymity will be outlawed" está incorreto, e o certo seria "is outlawed". As demais seguem as estruturas condicionais corretas. A) Segundo condicional (o uso de "was" é aceito na língua informal). B) Segundo condicional bem formado. C) Primeiro condicional correto. D) Condicional zero/primeiro correto. Referência: Conditional sentences. Resolução comentada do VaiConcursos. Gabarito disponível Discurso indireto: will → would; tomorrow → the following day. Ao reportar "I will travel tomorrow" com verbo introdutório no passado, "will" vira "would" e "tomorrow" vira "the following day". A opção E faz isso corretamente: "Carol said she would travel the following day". A) "Said me" é incorreto e o tempo está errado. B) "Told that" está sem objeto e muda o sujeito. C) "Says" e "I will" não foram ajustados. D) "Will" e "the day before" não correspondem a "tomorrow". Referência: Reported speech. Resolução comentada do VaiConcursos. Gabarito disponível Might e could expressam possibilidade. Na frase, "what might be available tomorrow" e "what is not available but could be in the future" tratam de situações possíveis no futuro. Nesse uso, tanto "might" quanto "could" indicam possibilidade. A) Habilidade seria "can/could" no sentido de capacidade, o que não é o caso. B) Permissão e E) pedido não cabem no contexto. D) Proibição seria "mustn't" ou "can't". Referência: Modal verbs: possibility. Resolução comentada do VaiConcursos. Gabarito disponível Concordância afirmativa com present perfect: So have I. A frase de Richard está no present perfect ("has won"). Para concordar com uma afirmação, usa-se "So + auxiliar + sujeito", e Paul fala de si mesmo, então "So have I". A, C e E usam "Neither", que serve para concordar com frases negativas. D usa "am", mas o auxiliar deveria ser "have". Referência: Short answers with So/Neither. Resolução comentada do VaiConcursos.Marinha do Brasil — CPAEN/2025 — 1º Dia — Prova de Matemática e Inglês — Prova Amarela
, com t ∈ ℝ, intersectam-se no ponto P. Os pontos Q(−3, 1, 2) e R(x, y, 0) são tais que o paralelogramo gerado pelos vetores
possui área igual a 10 u.a. O lugar geométrico formado pelos pares (x, y) ∈ ℝ² é uma:Resolução comentada
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TEXT I
Is peanut butter a good source of protein? Nutrition experts explain.
[1] Protein is the macronutrient du jour. Discussions about nutrition online as of late are all about making sure you're consuming enough protein every day.
[2] The Recommended Dietary Allowance (RDA) for protein is currently 0.36 grams of protein per pound, according to Harvard Health, or about 54 grams daily for a person who weighs 150 pounds.
[3] But diet experts are increasingly pushing for consuming higher amounts of protein: upwards of 60 to 90 grams daily. Registered dietitian Jamie Nadeau previously told USA TODAY that she recommends getting "at least 20 grams of protein per meal for satiety," though she notes everyone has different needs.
[4] To what extent can peanut butter help you reach those goals? Nutrition experts explain.
[5] A two-tablespoon serving of peanut butter contains about 7 grams of protein, according to the U.S. Department of Agriculture's (USDA) food database.
[6] That doesn't mean you shouldn't eat peanut butter – experts say it just means peanut butter is meant to be a small part of more well-rounded meals. Thomason suggests pairing a serving of peanut butter with a carb, protein and a fruit or vegetable. Some favorite combos include peanut butter and an apple, peanut butter and banana toast and a smoothie or oatmeal with peanut butter.
[7] "Those things are going to help you balance it out and not feel like it's easy to overeat," she says.
[8] To hit that recommended 20-gram goal, you'd have to eat about 6 tablespoons – nearly three servings of peanut butter – which amounts to nearly 600 calories. While experts say eating more than the serving size isn't harmful, per se, there are much easier (and less calorie-dense) food options to get more protein.
(Adapted from https://www.usatoday.com)
The pronoun "it" in the sentence "Those things are going to help you balance it out and not feel like it's easy to overeat, [...]" (paragraph 7) refers to:Resolução comentada
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TEXT I
Is peanut butter a good source of protein? Nutrition experts explain.
[1] Protein is the macronutrient du jour. Discussions about nutrition online as of late are all about making sure you're consuming enough protein every day.
[2] The Recommended Dietary Allowance (RDA) for protein is currently 0.36 grams of protein per pound, according to Harvard Health, or about 54 grams daily for a person who weighs 150 pounds.
[3] But diet experts are increasingly pushing for consuming higher amounts of protein: upwards of 60 to 90 grams daily. Registered dietitian Jamie Nadeau previously told USA TODAY that she recommends getting "at least 20 grams of protein per meal for satiety," though she notes everyone has different needs.
[4] To what extent can peanut butter help you reach those goals? Nutrition experts explain.
[5] A two-tablespoon serving of peanut butter contains about 7 grams of protein, according to the U.S. Department of Agriculture's (USDA) food database.
[6] That doesn't mean you shouldn't eat peanut butter – experts say it just means peanut butter is meant to be a small part of more well-rounded meals. Thomason suggests pairing a serving of peanut butter with a carb, protein and a fruit or vegetable. Some favorite combos include peanut butter and an apple, peanut butter and banana toast and a smoothie or oatmeal with peanut butter.
[7] "Those things are going to help you balance it out and not feel like it's easy to overeat," she says.
[8] To hit that recommended 20-gram goal, you'd have to eat about 6 tablespoons – nearly three servings of peanut butter – which amounts to nearly 600 calories. While experts say eating more than the serving size isn't harmful, per se, there are much easier (and less calorie-dense) food options to get more protein.
(Adapted from https://www.usatoday.com)
According to text I:Resolução comentada
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TEXT II
Chinese divers surrounded by sharks
Jan 03, 2025
[1] Nine Chinese individuals, including seven tourists and two diving instructors, went missing while diving in Palau on December 26.
[2] Experienced diving instructor Liu Xin and another diving guide took seven Chinese tourists to dive on December 26 around 9:30 am. As the dive was coming to an end, Liu sent a signal to the surface. Typically, after seeing the signal, the captain would slowly maneuver the boat to follow the divers, allowing them to board once they floated off. __________, when they surfaced, they could not locate the boat.
[3] They could only float in the sea for nearly three hours, believing that someone would come to rescue them, but the ocean current changed direction, and they were swept by currents into an area between two islands. At that point, a new threat emerged. The underwater terrain shifted, and the most physically fit diver among the nine felt as if he had stepped on something. Liu looked down and noticed that a bull shark was circling around his feet, along with six other sharks nearby.
[4] Liu swiftly assembled everyone to make themselves appear larger as most wild animals typically target creatures that are smaller and tend to avoid approaching larger groups. Fortunately, with Liu and the entire team huddled together, the sharks refrained from acting aggressively, and they avoided any danger.
[5] By evening, they had gone nearly 11 hours without food. To conserve their energy, they used their diving masks to collect rainwater and drank it to stay hydrated. After spending too much time in the water, they started to feel cold, so they used their buoyancy devices to hold each other to stay together and preserve warmth. And, to prevent falling asleep and risking hypothermia, they took turns calling out their numbers every 30 minutes to stay alert.
[6] After drifting in the water for about 27 hours, a rescue boat located the nine individuals.
[7] "All nine Chinese citizens who went missing while diving in Palau have been rescued and are reported to be in stable condition", the Chinese Embassy in the Federated States of Micronesia said on Friday.
[8] Liu said that the key reasons for their safe return included the selfless assistance from fellow travelers, the favorable ocean currents that kept them in proximity to their initial location, and, most importantly, the excellent physical condition and positive attitude of the group. "Throughout those 20-plus hours, we maintained a light-hearted atmosphere, chatting and laughing without any complaints," Liu said.
(Adapted from https://www.globaltimes.cn)
The word "selfless" (paragraph 8) means:Resolução comentada
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TEXT II
Chinese divers surrounded by sharks
Jan 03, 2025
[1] Nine Chinese individuals, including seven tourists and two diving instructors, went missing while diving in Palau on December 26.
[2] Experienced diving instructor Liu Xin and another diving guide took seven Chinese tourists to dive on December 26 around 9:30 am. As the dive was coming to an end, Liu sent a signal to the surface. Typically, after seeing the signal, the captain would slowly maneuver the boat to follow the divers, allowing them to board once they floated off. __________, when they surfaced, they could not locate the boat.
[3] They could only float in the sea for nearly three hours, believing that someone would come to rescue them, but the ocean current changed direction, and they were swept by currents into an area between two islands. At that point, a new threat emerged. The underwater terrain shifted, and the most physically fit diver among the nine felt as if he had stepped on something. Liu looked down and noticed that a bull shark was circling around his feet, along with six other sharks nearby.
[4] Liu swiftly assembled everyone to make themselves appear larger as most wild animals typically target creatures that are smaller and tend to avoid approaching larger groups. Fortunately, with Liu and the entire team huddled together, the sharks refrained from acting aggressively, and they avoided any danger.
[5] By evening, they had gone nearly 11 hours without food. To conserve their energy, they used their diving masks to collect rainwater and drank it to stay hydrated. After spending too much time in the water, they started to feel cold, so they used their buoyancy devices to hold each other to stay together and preserve warmth. And, to prevent falling asleep and risking hypothermia, they took turns calling out their numbers every 30 minutes to stay alert.
[6] After drifting in the water for about 27 hours, a rescue boat located the nine individuals.
[7] "All nine Chinese citizens who went missing while diving in Palau have been rescued and are reported to be in stable condition", the Chinese Embassy in the Federated States of Micronesia said on Friday.
[8] Liu said that the key reasons for their safe return included the selfless assistance from fellow travelers, the favorable ocean currents that kept them in proximity to their initial location, and, most importantly, the excellent physical condition and positive attitude of the group. "Throughout those 20-plus hours, we maintained a light-hearted atmosphere, chatting and laughing without any complaints," Liu said.
(Adapted from https://www.globaltimes.cn)
Decide if the statements below are true (T) or false (F) according to text II. Then, mark the option that contains the right sequence.
( ) The nine people who went missing were inexperienced divers.
( ) Despite the difficulties, the divers were able to collect and drink rainwater.
( ) The divers were surrounded by a dozen sharks.
( ) The sharks did not injure the divers.
( ) After about 27 hours, the divers were finally rescued by the captain of their boat.Resolução comentada
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TEXT II
Chinese divers surrounded by sharks
Jan 03, 2025
[1] Nine Chinese individuals, including seven tourists and two diving instructors, went missing while diving in Palau on December 26.
[2] Experienced diving instructor Liu Xin and another diving guide took seven Chinese tourists to dive on December 26 around 9:30 am. As the dive was coming to an end, Liu sent a signal to the surface. Typically, after seeing the signal, the captain would slowly maneuver the boat to follow the divers, allowing them to board once they floated off. __________, when they surfaced, they could not locate the boat.
[3] They could only float in the sea for nearly three hours, believing that someone would come to rescue them, but the ocean current changed direction, and they were swept by currents into an area between two islands. At that point, a new threat emerged. The underwater terrain shifted, and the most physically fit diver among the nine felt as if he had stepped on something. Liu looked down and noticed that a bull shark was circling around his feet, along with six other sharks nearby.
[4] Liu swiftly assembled everyone to make themselves appear larger as most wild animals typically target creatures that are smaller and tend to avoid approaching larger groups. Fortunately, with Liu and the entire team huddled together, the sharks refrained from acting aggressively, and they avoided any danger.
[5] By evening, they had gone nearly 11 hours without food. To conserve their energy, they used their diving masks to collect rainwater and drank it to stay hydrated. After spending too much time in the water, they started to feel cold, so they used their buoyancy devices to hold each other to stay together and preserve warmth. And, to prevent falling asleep and risking hypothermia, they took turns calling out their numbers every 30 minutes to stay alert.
[6] After drifting in the water for about 27 hours, a rescue boat located the nine individuals.
[7] "All nine Chinese citizens who went missing while diving in Palau have been rescued and are reported to be in stable condition", the Chinese Embassy in the Federated States of Micronesia said on Friday.
[8] Liu said that the key reasons for their safe return included the selfless assistance from fellow travelers, the favorable ocean currents that kept them in proximity to their initial location, and, most importantly, the excellent physical condition and positive attitude of the group. "Throughout those 20-plus hours, we maintained a light-hearted atmosphere, chatting and laughing without any complaints," Liu said.
(Adapted from https://www.globaltimes.cn)
Mark the option that completes the following sentence from text II correctly: "__________, when they surfaced, they could not locate the boat." (paragraph 2).Resolução comentada
Análise das alternativas
TEXT II
Chinese divers surrounded by sharks
Jan 03, 2025
[1] Nine Chinese individuals, including seven tourists and two diving instructors, went missing while diving in Palau on December 26.
[2] Experienced diving instructor Liu Xin and another diving guide took seven Chinese tourists to dive on December 26 around 9:30 am. As the dive was coming to an end, Liu sent a signal to the surface. Typically, after seeing the signal, the captain would slowly maneuver the boat to follow the divers, allowing them to board once they floated off. __________, when they surfaced, they could not locate the boat.
[3] They could only float in the sea for nearly three hours, believing that someone would come to rescue them, but the ocean current changed direction, and they were swept by currents into an area between two islands. At that point, a new threat emerged. The underwater terrain shifted, and the most physically fit diver among the nine felt as if he had stepped on something. Liu looked down and noticed that a bull shark was circling around his feet, along with six other sharks nearby.
[4] Liu swiftly assembled everyone to make themselves appear larger as most wild animals typically target creatures that are smaller and tend to avoid approaching larger groups. Fortunately, with Liu and the entire team huddled together, the sharks refrained from acting aggressively, and they avoided any danger.
[5] By evening, they had gone nearly 11 hours without food. To conserve their energy, they used their diving masks to collect rainwater and drank it to stay hydrated. After spending too much time in the water, they started to feel cold, so they used their buoyancy devices to hold each other to stay together and preserve warmth. And, to prevent falling asleep and risking hypothermia, they took turns calling out their numbers every 30 minutes to stay alert.
[6] After drifting in the water for about 27 hours, a rescue boat located the nine individuals.
[7] "All nine Chinese citizens who went missing while diving in Palau have been rescued and are reported to be in stable condition", the Chinese Embassy in the Federated States of Micronesia said on Friday.
[8] Liu said that the key reasons for their safe return included the selfless assistance from fellow travelers, the favorable ocean currents that kept them in proximity to their initial location, and, most importantly, the excellent physical condition and positive attitude of the group. "Throughout those 20-plus hours, we maintained a light-hearted atmosphere, chatting and laughing without any complaints," Liu said.
(Adapted from https://www.globaltimes.cn)
Mark the correct option according to text II.Resolução comentada
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Which option replaces the underlined verb correctly, without changing the meaning of the sentence?Resolução comentada
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Throughout _____ history, _____ narration has been _____ important form of communication, along with being vital in _____ human development.
(Adapted from https://www.skillshare.com)Resolução comentada
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Canada is a world leader in both the proportion of women in its military and the areas in which they can serve. In fact, women _____ in Canada's military for over a century and today _____ a pivotal role in defending Canada's safety and security. "Our objective is that by 2026, 1 in 4 Canadian Air Force members _____ women. Successful recruiting efforts _____ the percentage of women enrolling in the Regular Force increase from 13.2% in 2015/16 to 17.2% in 2017/18," said Admiral Art McDonald.
(Adapted from https://www.navalnews.com)Resolução comentada
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Carol: I will travel tomorrow.Resolução comentada
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Richard: She's won a gold medal.
Paul: _____Resolução comentada
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O plano π: 2x − y + 3z − 4 = 0 e a reta r:
Seja o polígono ABCDEFG côncavo, cujos vértices representam parte de uma estrutura de uma embarcação, com as seguintes coordenadas: A(3,1), B(5,2), C(7,3), D(6,8), E(4,6), F(2,10) e G(1,5). Um engenheiro naval precisou averiguar a compatibilidade da área dessa estrutura à embarcação na qual seria instalada. Assim, assinale a opção que apresenta o valor da área dessa estrutura em unidade de área.
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Read the sentence below.
Mark the option in which the word in parentheses replaces the underlined word(s) correctly.
Which option is grammatically correct?
Which is the correct option to complete the sentence below?
Mark the option that is grammatically correct.
Which question should you make if you want to use a friend's dictionary?
Choose the option that completes the paragraph below correctly.
Mark the option that is grammatically correct.
Choose the option that is grammatically INCORRECT.
Mark the option in which the sentence below is correctly reported.
In the sentence "Jobs boil down to three categories: what's available today, what might be available tomorrow, and what is not available but could be in the future." (https://grow.acorns.com), the verbs "might" and "could" express:
Which question completes the dialogue below correctly?