Indian Navy Agniveer Mock Test - 4 - Indian Navy Agniveer MCQ

The correct answer is 'Used all available means'.

Key Points

• Here, in the given sentence the idiom 'Left no stone unturned' means 'used all available means'.
• Leave no stone unturned: to do everything you can to achieve a good result, especially when looking for something.
  • Example: He left no stone unturned in his search for his natural mother.
• Therefore, as per the points mentioned above, we find that the correct answer is Option 2.​

Correct Answer: Used all available means.

Additional Information

• Let's look at the meaning and examples of some idioms of the word 'Play':

The correct answer is "won"

Key Points

• The sentence says that despite being shot by the Taliban, Malala Yousafzai stood up for women's education and won the Nobel Prize. The underlined phrasal verb "bore away" means "won".
• So, in this sentence, the phrasal verb "bore away" is used to express the idea of winning the Nobel Prize.
• "The phrasal verb "bore away" is used to express the idea of winning something.
  • Example: "Despite a difficult competition, the athlete bore away the gold medal."

• A substitute for this phrasal verb could be "won", which means the same thing. So, the sentence could read like this: "Despite being shot by the Taliban, Malala Yousafzai stood up for women's education and won the Nobel Prize."

• Thus, the correct answer is "Won".

Correct answer: Won

The correct answer is 'a few.'

Key Points

• Let us explore the given options:
  • 'The few' means not many, but all of those.
    • Example: He wants to spend the few days that are left to him in solitude and meditation.
  • 'A lot of' means a large number or quantity or very much. It means an individual considers it a small but considerable quantity.
    • Example: I went shopping and spent a lot of money.
  • 'A few' means some or a small number of something.
    • Example: I could answer only a few questions.
  • 'Any' is used in negative and interrogative sentences and is used to refer to one or some of a thing or a number of things, no matter how much or how many.
    • Example: We don't have any time to get popcorn before the film starts.
• In the given sentence, the noun 'minutes' is a plural countable noun.
• We can count 'minutes' so they can be called countable nouns.
• We know that 'few' is a quantifier used with plural countable nouns.
  

Hence, the correct answer is option 3.

Complete Sentence: I wanted to see her for a few minutes.

The correct answer is 'but Rhea is better'.

Key Points

• The given sentence is grammatically incorrect.
• Here, 'but Rhea is better' should be used instead of 'but Rhea is the best'.
• In the given sentence two dancers are being compared. In these kinds of cases, we should use a comparative degree.
• So the use of superlative degree is incorrect.
• Thus, the correct answer is Option 2.
  

Correct Sentence: Rhea and Heena are both great dancers, but Rhea is better.

The correct answer is 'mice.'

Key Points

• The meaning of the word 'Mise' is the issue in a legal proceeding upon a writ of right also: the write itself.
• The plural of the noun 'mouse' is 'mice.'
• Hence, the noun, 'mice' should be used to make the sentence grammatically correct.
• Hence, the correct answer is 'mice.'

​Correct sentence: It's totally irrational, but I'm frightened of mice.

Additional Information

• Most singular nouns are made plural by simply putting an -s at the end.
  • To make regular nouns plural, add ‑s to the end.
    • Example: cat – cats
  • If the singular noun ends in ‑s, -ss, -sh, -ch, -x, or -z, add ‑es to the end to make it plural.
    • Example: truss – trusses, marsh – marshes, blitz – blitzes
  • In some cases, singular nouns ending in -s or -z, require that you double the -s or -z prior to adding the -es for pluralization.
    • Example: fez – fezzes, gas –gasses
  • If the noun ends with ‑f or ‑fe, the f is often changed to ‑ve before adding the -s to form the plural version.
    • Example: wolf – wolves
  • If the singular noun ends in ‑us, the plural ending is frequently ‑i.
    • Example: cactus – cacti

• 'माईस (Mise)' शब्द का अर्थ है समझौते के अनुसार बन्दोबस्त।
• 'माउस (Mouse)' संज्ञा का बहुवचन 'mice' है।
• इसलिए, वाक्य को व्याकरणिक रूप से सही बनाने के लिए संज्ञा 'mice' का प्रयोग किया जाना चाहिए।
• इसलिए, सही उत्तर 'mice' है।​

The correct answer is option 4) i.e. John said to his friend, "Please help me carry these boxes."

Key Points

• The given sentence is in Indirect Speech. As per the given directions, we have to change it into Direct Speech.
• As we have to transform the given sentence into an imperative sentence, the process of transformation is as follows:
• The preposition 'to' will be removed and comma and inverted commas will be added.
• In the direct speech 'requested' will be changed into 'said to' because reporting verb has an object, 'his friend.'
• The direct speech will begin like 'John said to his friend.'
• Now, let's focus on the reported speech.
• The pronoun 'him' will be changed into 'me.'
• 'those boxes' will be changed into 'these boxes.'
• In indirect speech 'requested' is used therefore, 'please' will be added in direct speech.
• Finally, the result is: John said to his friend, "Please help me carry these boxes."
• ​So, the correct answer is option 4.

Correct Sentence: John said to his friend, "Please help me carry these boxes."

The correct answer is "Option 3'.

Key Points

• In indirect speech, we report what someone said without using their exact words. The key points to consider when converting direct speech to indirect speech are:
• Pronouns: The pronouns need to be changed to reflect the perspective of the speaker in the reporting clause.
• In this case, since the student is speaking, the pronouns "I" and "her" need to be changed accordingly.
• The options that use "he/she" are correct in this regard.
• Tense changes: The tense of the verb in the reported speech needs to be shifted back.
• The verb "do not remember" in the direct speech should be changed to "did not remember" in the past tense in the indirect speech.

Therefore, the correct sentence is: 'The student told her that he/she did not remember her name.'

Additional Information

• Now, let's examine why the other options are incorrect:
  • Option 1 is incorrect because it uses "I" in the reported speech, which doesn't match the perspective of the student who is speaking.
  • Option 2 is incorrect because it uses "cannot remember" in the reported speech, which doesn't match the tense of the original statement.
  • Option 4 is incorrect because it uses "do not remember" in the reported speech, which doesn't match the tense of the original statement.

The correct answer is 'Philanderer'.

Key Points

• Philanderer means a man who has relations with many women(वह पुरुष जिसके अनेक स्त्रियों से संबंध हों)
  • For example- He had a reputation as a philanderer.

Therefore, the correct one word is- 'Philanderer'.

Additional Information

• Let's see the meaning of other options
• Peter- decrease or fade gradually before coming to an end.(समाप्त होने से पहले धीरे-धीरे कम या कम होना)
• Pester- trouble or annoy (someone) with frequent or persistent requests or interruptions.(बार-बार या लगातार अनुरोधों या रुकावटों से परेशानी या गुस्सा (किसी को)।)
• Philatellist- a person who studies or collects postage stamps.(एक व्यक्ति जो डाक टिकटों का अध्ययन या संग्रह करता है)

The correct answer is 'Let the advisory be issued to the villagers to be on alert for the cyclone'.

Key Points

• The given sentence is an example of Active Voice. As per the question we have to change it into Passive Voice.
• The process of transformation is as follows:
  • The given sentence is an example of an Imperative sentence
  • Imperative sentence: If someone gives a command, request, expresses a desire, or wish, in a sentence then such sentences are called Imperatives sentences.
  • The structure of the given sentence will be Let + Sub +be + V3.
  • 'Let' will be added to start the sentence, as a passive form of a command.
  • 'issue' will be changed into 'be issued'.

Correct Sentence: Let the advisory be issued to the villagers to be on alert for the cyclone.​

Hinglish

• दिया गया वाक्य Active Voice का उदाहरण है। प्रश्न के अनुसार हमें इसे Passive Voice में बदलना है।
• परिवर्तन की प्रक्रिया इस प्रकार है:
  • दिया गया वाक्य एक Imperative sentence का उदाहरण है
  • Imperative Sentence: यदि कोई वाक्य में command, request, desire व्यक्त करता है, या इच्छा व्यक्त करता है, तो ऐसे वाक्यों को Imperative Sentence कहा जाता है।
  • दिए गए वाक्य की संरचना Let + Sub + be + V3 होगी।
  • एक command के passive form के रूप में, वाक्य को शुरू करने के लिए 'Let' जोड़ा जाएगा।
  • 'Issue' को 'be issued' में बदल दिया जाएगा।

The correct answer is Cigarette.

Key Point

• The correctly spelled word is Cigarette.
• It means a thin cylinder of finely cut tobacco rolled in paper for smoking.

Hence, the correct choice is option 1.

The correct answer is Stellar distances.

Key Points

• A light-year, alternatively spelled lightyear, is a large unit of length used to express astronomical distances and is equivalent to about 9.46 trillion kilometers (9.46×1012 km), or 5.88 trillion miles (5.88×1012 mi)
  • As defined by the International Astronomical Union (IAU), a light-year is the distance that light travels in a vacuum in one Julian year (365.25 days).
  • Because it includes the time-measurement word "year", the term light-year is sometimes misinterpreted as a unit of time.
  • Hence, Light year is a measurement of Stellar distances.

Additional Information

• SI base units:

Concept:

• Acceleration is the rate of change of velocity with respect to time
• 
• Where dv is the change in velocity and dt is the change in time.
• Acceleration is a vector quantity.
• When a body is falling freely then an acceleration is acting on it, which is the acceleration due to gravity.

In Circular Motion there are two types of acceleration

1. Tangential acceleration, which is responsible for the change in magnitude given by
2. Centripetal acceleration, which is responsible for the change in the direction given by

Explanation:

In statement A - An object released from a certain height, then

• its initial velocity is zero,
• Also, it is falling freely, then it has acceleration due to gravity.

​In statement B - A ball is thrown up, then

• Its velocity becomes Zero when it reaches to a maximum height
• Also, it is the case of the free-falling body, so it has acceleration due to gravity.

​​In statement C - An object moving in a uniform circular motion

• Now in a uniform circular motion, the magnitude of velocity is constant, but the direction varies, which means the angular velocity or speed is constant, hence the tangential acceleration is zero.
• But the centripetal acceleration is always present which is responsible for the circular path as it is always directed towards the center.

So, in cases, A and B, the velocity of an object may be zero at some instant, but its acceleration is not zero at that instant

Concept:

Spherical mirror:

• ​A spherical mirror is a mirror that has the shape of a piece cut out of a spherical surface.
• There are two types of spherical mirrors: Concave mirrors and convex mirror

​Concave mirror:

• If the reflective surface is on the side curved inwards, it is a concave mirror.

• Concave mirrors are commonly used as shaving mirrors or by dentists and even in telescopes.

​

• The reflected image is magnified but the field of view is limited. Concave mirrors are also called converging mirrors.

Convex mirror:

• ​If the reflective surface is curved outwards, it is a convex mirror.
• Convex mirrors are used extensively as part of car mirrors

​

• Depending on the focal length, the reflected image is reduced in size but the field of view is more. This is very useful for drivers as blind spots are drastically reduced. Convex mirrors are also called fish eye or diverging mirrors.
• ​The relation between the radius R and the focal length f in the spherical mirror, R = 2f

Calculation:

Given,

The radius of the spherical ball, R = 20 cm

For a concave mirror, the radius is, R = - 20cm

For the convex mirror, the radius is, R = 20 cm

The relation between the radius R and the focal length f in the spherical mirror, R = 2f

Concept:

The equation for the speed of sound is given by:

Where γ = Ratio of specific heat, R = Universal gas constant, T = Temperature in Kelvin, M = Mass.

i.e. V∝T

Calculation:

Given:

T1 = 27°C = 300 K. V1 = V and V2 = 2V.

T₂ = 1200 K.

T2 = 927°C.

CONCEPT:

The energy of electromagnetic radiation is equal to the product of Planck's constant and frequency and it is written as;

E = hf

Here we have E as the energy, h as Planck's constant, and f as the frequency.

CALCULATION:

Given:

Energy, E = 11 eV

Planck's constant,  J-s

As we know,

E = hf

⇒

⇒

⇒  Hz

Here we have the frequency  Hz which lies in the UV region.

Hence option 3) is the correct answer.

Given that:

Mass (M) = 10 kg and angle of incline plane (θ) = 30°

Coefficient of kinetic friction (μ) = 0.2

Let a be the acceleration of the block. Here weight (Mg) has two components-one along the inclined plane (Mg Sin θ) and another perpendicular to the plane (Mg Cos θ).

Normal (N) = Mg Cos θ

Friction (f) = μ N = 0.2 × Mg Cos θ

= 0.2 × 10 × 10 × Cos 30° = 20 × √3/2

= 10 × 1.7 = 17 N

Mg Sin θ – f = M a

10 × 10 × Sin 30° - 17 = 10 × a

Acceleration (a) = 33/10 = 3.3 m/s²

Key Points

Force: The interaction that after applying on a body changes or try to change the state of rest or state of motion of a body is called force. The SI unit of force is newton (N). It is denoted by F.

Force (F) = Mass (m) × acceleration (a)

Friction force: When two objects are in contact and one object moves or intends to move then a force develops between the two surfaces called frictional force. The friction force is usually denoted by “f”.

Friction force (f) = μ N

Where N is the normal force and μ is the coefficient of friction.

Concept:

• Sir Isaac Newton put forward the universal law of gravitation in 1687 and used it to explain the observed motions of the planets and moons.
• Newton’s Law of Universal Gravitation states that every particle attracts every other particle in the universe with force directly proportional to the product of the masses and inversely proportional to the square of the distance between them.

According to the law of gravitation:

• The gravitational force is directly proportional to the product of the mass of the two objects, F∝ m₁m₂
• The gravitational force is inversely proportional to the square of the distance between them., F∝ (1/r²)

• Formula, Gravitational force, F=Gm1m2r2

• Here. G = gravitational constant and its value is 6.67 × 10^-11 Nm/kg².

Explanation:

According to the law of gravitation:

• The gravitational force is directly proportional to the product of the mass of the two object
• The gravitational force is inversely proportional to the square of the distance between them.

Hence, the correct option is 1.

Concept:

Domain: Domain of function f(x) is defined as values of x for which function f(x) exists.

Calculation:

We have to find the domain of the function

We know that the square root is always positive.

Therefore, |x| - x > 0 --- (|x| - x ≠ 0)

⇒ |x| > x

As we can see |x| is greater than x in (-∞, 0)

Concept:

• If B is a matrix such that BA = I = AB, then B is called the inverse of matrix A and denoted by A^-1
• A non-singular matrix is one whose determinant is non-zero
• Adjoint of a matrix A is the transpose of the matrix formed by the co-factors of its elements.

Formula:

Explanation:

From the formula of the inverse of the matrix, we can see that A^-1 exists when det(A) is non-zero or A is non-singular. Hence, a square matrix A is invertible if and only if A is a non-singular matrix.

∴ Statement I is true

Also, we know that A(adj A) = det(A)I_n for a non-singular matrix A where I is the identity matrix and n is order of matrix

Now det(A)I_n will multiply each element of I_n with det(A).

In taking det(det(A)I_n) we can take det(A) common from n rows which will give us [det(A)]ⁿ det(I_n)

And, we know, det(In) = 1

Also, det(AB) = det(A)det(B)

⇒ det(A(adjA)) = det(det(A)In)

⇒ det(A)det(adjA) = [det(A)]n

⇒ det(adjA) = [det(A)]n -1

∴ Statement II is true

Concept:

The general term of (x + a)ⁿ is

T_{r + 1} = ⁿC_r (x)^{n - r} a^r

Calculation:

Given:

If the (r + 1)th term in the expansion of ¹⁰

Now consider,¹⁰

Here (r + 1)th term

Comparing the indices of x in x²⁰ and in T_r+1, we get

⇒ 30 - 3r - 2r = 20

⇒ 5r = 10

⇒ r = 2

Explanation:

Given, f'(x) = g(x) __(i)

and f''(x) = −f(x) __(ii)

h(x) = {f(x)}2 + {g(x)}2.__(iii)

Differentiating (i) gives, f " (x) = g'(x)

From (ii), ⇒ g'(x) = -f(x) __(iv)

1. h'(3) = 0

Differentiating (iii) with respect to x,

⇒ h'(x) = 2f(x)f '(x) + 2g(x)g'(x)

⇒ h'(x) = 2f(x)g(x) + 2g(x)g'(x) {From (i)}

⇒ h'(x) = 2f(x)g(x) + 2g(x){-f(x)} {From (iv)}

⇒ h'(x) = 0 for every x __(v)

⇒ h'(3) = 0

So statement 1 is true.

2. h(1) = h(2)

From (v), h'(x) = 0 for every x

Integrating both sides,

⇒ h(x) = c {constant function}

⇒ h(1) = h(2)

So statement 2 is true.

∴ The correct option is (3).

Explanation:

If sin θ = x ⇒ θ = sin-1x, for θ ∈ [-π/2, π/2]

cos^-1(cos x) = x, for x ∈ [0, π ]

According to the question, 1+cos⁡2x=2 cos−1(cos x) in [π2,π]

⇒  = √2cos−1(cos x)

⇒ √2cos x= √2cos−1(cos x)

⇒ cos x = cos−1(cos x)

⇒ cos x = x [∵ cos−1(cos x) = x]

Now, for x∈[π/2, π], cos x ≤ 0

∴ cos x = x is not possible for any value of x∈ [π/2 , π]

∴ Number of solutions = 0

The correct answer is Ganga River.Key Points

• Ganga is the major river system in India.
• It starts from the Gangotri in the Himalayas and drains into the Bay of Bengal.
• The major tributaries of the Ganga are:
  • Right bank tributaries: Yamuna, Chambal, Banas, Ken, Betwa, Son, Rihand, Koel
  • Left bank tributaries : Bhagirathi, Alakananda, Ramganga,Ghahgra, Gomti, Gandak, Rapti, Kosi

​Yamuna River System

• ​The Yamuna River is the largest tributary of the Ganga River.
• It originates from the Yamunotri glacier, at the Bandarpoonch peak in Uttarakhand.
• The main tributaries joining the river include the Sin, Hindon, Betwa Ken, and Chambal.
• The Tons is the largest tributary of the Yamuna.

• The Dolphin kick is associated with the Swimming.
• The Dolphin kick technique is used by professional swimmers, they use that motion that propels them forward underwater after diving in, and at the underwater turns.
• This technique is not just about the legs but It requires a swimmer's entire body to crack like a whip, creating a fluid wave that starts at the chest and increases in amplitude as it travels all the way through the toes, and it seems like a dolphin that's why it is called Dolphin kick.
• The Dolphin Kick is assumed as the fastest way to get from one point to another underwater but it needs a lot of practice as it is a very difficult move.

Extra Information :

• The international rules for swimming disciplines are laid down by Federation Internationale de Natation (International Swimming Federation) FINA.
• There are four standard strokes in swimming a front crawl, backstroke, breaststroke, and butterfly.

The correct answer is Indian National Congress.

In News

• Siddaramaiah appointed Karnataka CM, DK Shivakumar to be Deputy CM in May 2023.

Key Points

• Siddaramaiah:
  • He is referred to by his nickname Siddu.
  • He is replacing Basavaraj Bommai as the 22nd Chief Minister of Karnataka.
  • He was also former Leader of the Opposition in Karnataka Legislative Assembly
  • He represents the Badami Assembly constituency since 2018.
  • He served as the CM of Karnataka from May 2013 to May 2018.

The pattern followed here is:

Two types of movement are followed.

1) The first two elements and the last two elements are interchanged in their position mutually.

2) The first two elements and the last two elements are interchanged in their position simultaneously.

This movement occurs alternatively and so on.

Hence, the correct answer is "Option 2".

The correct answer is France.

In News

• Multilateral military exercise Orion began at Mont de Marsan airbase.

Key Points

• The multilateral military exercise Orion has commenced at the Mont de Marsan airbase in France on April 18, 2023.
• The exercise involves the participation of troops and aircraft from several countries, including India, France, and the United States.
• The exercise will feature various scenarios and missions, such as air-to-air combat, air-to-ground operations, and search and rescue missions.

Additional Information

• India:
  • Currency: Indian rupee (INR)
  • Capital: New Delhi
• France:
  • Currency: Euro (EUR)
  • Capital: Paris
• USA:
  • Currency: United States dollar (USD)
  • Capital: Washington, D.C.
• Russia:
  • Currency: Russian ruble (RUB)
  • Capital: Moscow

The Correct answer is Jawaharlal Nehru Port.

Important Points

• The Jawaharlal Nehru Port is the largest container port in India.
• It is located in Navi Mumbai.
• The port alone handles about 40% of the countries ocean cargo.
• The port serves as the major cargo hub for Karnataka, Gujarat, Madhya Pradesh, and Maharashtra.

The correct answer is Charles Robert Darwin.

Key Points

• Charles Robert Darwin discovered the Theory of Evolution.

• The theory of evolution is a shortened form of the term "theory of evolution by natural selection", proposed by Charles Darwin and Alfred Russell Wallace in the nineteenth century.

Additional Information

• Natural selection occurs in four different ways:
  • Variation - The accumulated changes in an organism over a period of time usually give rise to a new species.
  • Inheritance - This is the passing of variations over generations that eventually leads to speciation.
  • High rate of population growth - This makes the number of organisms that can reproduce by a species more than the environment.
  • Differential Survival and Reproduction - Best variations lead to survival of a particular organism and low or negative variations lead to extinction. There are better variations inherited during reproduction.