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Ano: 2025
Banca:
Marinha
Órgão:
ESCOLA NAVAL
Prova:
Marinha - 2025 - ESCOLA NAVAL - Aspirante - 1º Dia |
Q3736273
Inglês
Texto associado
TEXT II
Read the text below and answer question.
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 couid 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] "Alli 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 lighthearted 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.
( ) 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.
Ano: 2025
Banca:
Marinha
Órgão:
ESCOLA NAVAL
Prova:
Marinha - 2025 - ESCOLA NAVAL - Aspirante - 1º Dia |
Q3736272
Inglês
Texto associado
TEXT II
Read the text below and answer question.
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 couid 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] "Alli 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 lighthearted atmosphere, chatting and laughing without any
complaints," Liu said.
(Adapted from https://www.globaltimes.cn)
The word "selfless" (paragraph 8) means:
Ano: 2025
Banca:
Marinha
Órgão:
ESCOLA NAVAL
Prova:
Marinha - 2025 - ESCOLA NAVAL - Aspirante - 1º Dia |
Q3736271
Inglês
Texto associado
TEXT I
Read the text below and answer question.
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:
Ano: 2025
Banca:
Marinha
Órgão:
ESCOLA NAVAL
Prova:
Marinha - 2025 - ESCOLA NAVAL - Aspirante - 1º Dia |
Q3736270
Inglês
Texto associado
TEXT I
Read the text below and answer question.
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:
Ano: 2025
Banca:
Marinha
Órgão:
ESCOLA NAVAL
Prova:
Marinha - 2025 - ESCOLA NAVAL - Aspirante - 1º Dia |
Q3736269
Matemática
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.
Ano: 2025
Banca:
Marinha
Órgão:
ESCOLA NAVAL
Prova:
Marinha - 2025 - ESCOLA NAVAL - Aspirante - 1º Dia |
Q3736268
Matemática
O plano π: 2x - у + 3z - 4 = 0 e a reta r: 
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:
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:
Ano: 2025
Banca:
Marinha
Órgão:
ESCOLA NAVAL
Prova:
Marinha - 2025 - ESCOLA NAVAL - Aspirante - 1º Dia |
Q3736267
Matemática
Sejam P1(x) = x³ + 3x² -6x + a e P2(x) = x3 - 3x² - x + b
polinômios com a, b e R e raízes, respectivamente, em
progressão geométrica e progressão aritmética. Assinale o
intervalo que apresenta o valor máximo admitido pela
função a seguir:
Ano: 2025
Banca:
Marinha
Órgão:
ESCOLA NAVAL
Prova:
Marinha - 2025 - ESCOLA NAVAL - Aspirante - 1º Dia |
Q3736266
Matemática
Um triângulo de vértices A(0,0), B(2,3) e C(5,1) é
rotacionado em 60° no sentido anti-horário em torno do
ponto de A, de forma que os pontos B e C tornem-se B' e
C', respectivamente. Determine a soma das coordenadas
de B' e C' e assinale a opção correta.
Ano: 2025
Banca:
Marinha
Órgão:
ESCOLA NAVAL
Prova:
Marinha - 2025 - ESCOLA NAVAL - Aspirante - 1º Dia |
Q3736265
Matemática
Suponha que a Marinha do Brasil realizará um desfile
naval passando pelo litoral do Rio de Janeiro no próximo
dia 07 de setembro. No desfile, serão utilizados navios de
04 classes distintas, nas quantidades descritas na tabela
abaixo e idênticos por classe. A formatura contará com
uma única coluna com navios equidistantes e em
alinhamento perfeito, ou seja, um militar de um navio
observa apenas o navio que está imediatamente à sua
frente. Calcule a probabilidade de organizar a formatura de
forma que ao menos duas Fragatas visualizem outro navio
de mesma classe e assinale a opção correta.
Ano: 2025
Banca:
Marinha
Órgão:
ESCOLA NAVAL
Prova:
Marinha - 2025 - ESCOLA NAVAL - Aspirante - 1º Dia |
Q3736264
Matemática
Os números complexos z1 = x + yi, z2 = y + xi, Z3 = xi еz4 = yi, com x e y não nulos, são tais que o argumento de z = 
é igual a 5π/4. Determine o valor de x + y sabendo que z1, possui maior módulo possível e assinale a opção correta.
é igual a 5π/4. Determine o valor de x + y sabendo que z1, possui maior módulo possível e assinale a opção correta.
Ano: 2025
Banca:
Marinha
Órgão:
ESCOLA NAVAL
Prova:
Marinha - 2025 - ESCOLA NAVAL - Aspirante - 1º Dia |
Q3736263
Matemática
Dada a função real 
assinale a opção correta referente ao domínio de f(x).
assinale a opção correta referente ao domínio de f(x).
Ano: 2025
Banca:
Marinha
Órgão:
ESCOLA NAVAL
Prova:
Marinha - 2025 - ESCOLA NAVAL - Aspirante - 1º Dia |
Q3736262
Matemática
Considere as afirmativas abaixo e assinale a opção
correta.
I- Se ya+1 = a√x, com In x = 3 1In y > 0, então a é um número racional.
II- Se
então 
!II- Se
então B = 16 e8 + 2x²+ x. ln 22x+1.
I- Se ya+1 = a√x, com In x = 3 1In y > 0, então a é um número racional.
II- Se
então !II- Se
então B = 16 e8 + 2x²+ x. ln 22x+1.
Ano: 2025
Banca:
Marinha
Órgão:
ESCOLA NAVAL
Prova:
Marinha - 2025 - ESCOLA NAVAL - Aspirante - 1º Dia |
Q3736261
Matemática
Examine a figura abaixo
A figura acima apresenta uma circunferência de centro O, na qual os pontos R, M, V, U, Ge S são fixos e pertencem à circunferência. Os segmentos RU, RP, PJ e JK medem 16, 2, 4 e 3, respectivamente. Considerando que o segmento KL mede x e o segmento LU mede y, calcule x/y e assinale a opção correta.
A figura acima apresenta uma circunferência de centro O, na qual os pontos R, M, V, U, Ge S são fixos e pertencem à circunferência. Os segmentos RU, RP, PJ e JK medem 16, 2, 4 e 3, respectivamente. Considerando que o segmento KL mede x e o segmento LU mede y, calcule x/y e assinale a opção correta.
Ano: 2025
Banca:
Marinha
Órgão:
ESCOLA NAVAL
Prova:
Marinha - 2025 - ESCOLA NAVAL - Aspirante - 1º Dia |
Q3736260
Matemática
Calcule 
assinale a opção correta.
assinale a opção correta.
Ano: 2025
Banca:
Marinha
Órgão:
ESCOLA NAVAL
Prova:
Marinha - 2025 - ESCOLA NAVAL - Aspirante - 1º Dia |
Q3736259
Matemática
Calcule 
e assinale a opção correta.
e assinale a opção correta.
Ano: 2025
Banca:
Marinha
Órgão:
ESCOLA NAVAL
Prova:
Marinha - 2025 - ESCOLA NAVAL - Aspirante - 1º Dia |
Q3736258
Matemática
A turma do primeiro ano da Escola Naval foi dividida em
grupos e recebeu a tarefa de construir uma embarcação a
vela. Um dos grupos deveria dimensionar a vela, a qual
seria constituída de um semicírculo apoiado pelo diâmetro
em um retângulo de base igual ao diâmetro do
semicírculo. Sabe-se que a área da vela é a maior
possível e seu perímetro total é igual a W. Além disso, foi
determinado que apenas a região retangular da vela fosse
pintada, com uma tinta que custa R$5,00 por unidade de
área. Assim, determine o custo com a pintura desta vela e
assinale a opção correta.
Ano: 2025
Banca:
Marinha
Órgão:
ESCOLA NAVAL
Prova:
Marinha - 2025 - ESCOLA NAVAL - Aspirante - 1º Dia |
Q3736257
Matemática
Examine o gráfico abaixo.
As funções do tipo y = ax² + bx + c + d/x, com a, b,c, d ∈ ℝ, sendo a ≠ 0 e d ≠ 0, são conhecidas como os Tridentes de Newton. Acima, foi apresentado o gráfico de um Tridente de Newton que contém os pontos A(-2, 9/2), B(1,-3) e C (2,-5/2) e cujo ponto (-1,0) é um ponto de inflexão. Assim, assinale a opção que apresenta o valor correto de ab + cd.
Ano: 2025
Banca:
Marinha
Órgão:
ESCOLA NAVAL
Prova:
Marinha - 2025 - ESCOLA NAVAL - Aspirante - 1º Dia |
Q3736256
Matemática
Um aspirante, encantado pelo Pão de Açúcar, um dos
famosos pontos turísticos observados a partir da Escola
Naval, resolveu utilizar os conceitos aprendidos em
Cálculo para estimar as alturas do morro do Pão de
Açúcar (A) e do morro da Urca (B), considerados
extremos. Para isto, modelou ambos os morros de acordo
com a função f(x) = 400[x]e-x2-x, representada no
gráfico abaixo com x e y em metros. Sabendo que as
alturas dos morros do Pão de Açúcar e da Urca são 391
metros e 220 metros, respectivamente, assinale a
alternativa correta.
Dado: e1/4 = 1,2.
Dado: e1/4 = 1,2.
Ano: 2025
Banca:
Marinha
Órgão:
ESCOLA NAVAL
Prova:
Marinha - 2025 - ESCOLA NAVAL - Aspirante - 1º Dia |
Q3736255
Matemática
Os pontos A(5,9), B(4,4) e C(10,4) pertencem a uma
circunferência de raio r centrada em 0(x0,Y0). Além disso,
os pontos P(x0 + 3r, y0), 0 e C formam um triângulo que
será rotacionado em torno da reta x = x0 produzindo o
sólido de revolução S. Com base nessas informações,
calcule o volume de S em unidades de volume e assinale a
opção correta.
Ano: 2025
Banca:
Marinha
Órgão:
ESCOLA NAVAL
Prova:
Marinha - 2025 - ESCOLA NAVAL - Aspirante - 1º Dia |
Q3736254
Matemática
Considere a = (cotg 1°)(cotg 2°) '....' (cotg 88°) (cotg 89°). Determine o conjunto solução da inequação: cos (2x) + sen(x) > 2ª - 1, x ∈ [0, π]
e assinale a opção correta.
Conheça nossos planos