Indian Navy Agniveer Mock Test - 6 - Indian Navy Agniveer MCQ

The correct answer is "beside"

Key Points

• Let's understand the difference between "besides" and "beside".
  • "Beside," without the s, tells us the location of something.
  • Besides, on the other hand, means "in addition," "in addition to," "moreover," or "as well," depending on context.
• Look at the following examples:
  • Your shirt is beside the closet.
  • Besides Anna, who else went to the concert?
• "Beside" shows the location so it will be the right usage here.

The correct answer is 'There is a bed to lie in'.

Key Points

• The above sentence is in passive voice since it emphasizes the action or object of the sentence.
• The above sentence is a special kind of sentence that is asked in exams and it needs to be learned as it is.
• If the sentence is of the form 'to + verb', then this rule is followed:
  • Active voice: There is a bed to lie in.
  • Passive voice: There is a bed to be lain in.
• The tense remains the same as the passive voice.
• Here, the simple present tense is used.
  

Additional Information​

• Only sentences with the transitive verb can be converted into passive voice and not the ones with an intransitive verb.
• A transitive verb needs an object to complete its meaning. For example: He answered the questions confidently. (subject + verb + object)
• The intransitive verb does not have an object. For example: He answered confidently. (subject + verb)
  

Correct sentence: "There is a bed to lie in".

The correct answer is 'aren't I'.

Key Points

• A short question following a sentence is called a question tag.
• When the statement is positive, we use a negative question tag and vice versa.
• However, if the main verb or auxiliary verb in the statement is 'am', the negative question tag usually is 'aren't I'?
  • For eg.- I'm going to get a positive response, aren't I?
• We will therefore use the question tag 'aren't I?' to fill in the blanks.

The complete sentence will be: I am the recipient of the best all-rounder award, aren't I?

• Hence, option 4 is the correct answer.

Additional Information

• When the verb in the statement is present simple or past simple and is positive.

• And there is no auxiliary verb in the statement.

• Here, we use don't, doesn't or didn't.

  • For eg.- Jenni eats white sauce pasta, doesn't she?

The correct answer is 'Brahm'.

Key Points

• Let's refer to the following lines of the passage:
  • Birbal's collection of poetry published under the pen name Brahm is preserved in Bharatpur Museum, Rajasthan, India.
• Thus, from above we can conclude that the correct answer is option 3.

The correct answer is 'to burst'.

Key Points

• Non-finite verbs do not work as the actual verbs in the formation of the sentence.
• They have the forms of verbs but they do not work as them.
• They work as adjectives, gerunds, and adverbs in the sentence.
  • ​​E.g.- The plane is all set to take off.
  • Running is good for health.

​Hence, the correct answer is 'to burst'.

The correct answer is 'over, of, in'

Key Points

• Let us see the meanings of the given prepositions​:.
  • Of: In the given context, 'of' denotes 'made or consisting of; having'.​
    • Example: A woman of great charm
  • In: We use "in" when something is located inside of a defined area. ​
    • Example: I’m in the building now.
  • ​Over: "Over'' in then given context means, 'more than'.
    • Example: Most of the carpets are over $5,000.
• ​Therefore, based on the given points, the correct answer is Option 3.​

Correct sentence: A galaxy may extend over thousands of light years of space.
Additional Information

• ​For: We use "for" to talk about a purpose or a reason for something.
  • Example: I bought that for you.
• Out of: We use "out of" as a preposition to talk about movement from within somewhere or something, usually with a verb that expresses movement.
  • Example: You go out of the building and turn right.
• Into: We use "into" to talk about the movement of something, usually with a verb that expresses movement (e.g. go, come, straight).
  • It shows where something is or was going.
  • Example: Helen came into the room.
• By: We use "by" meaning 'not later than' to refer to arrangements and deadlines.
  • Example: They said that the plumber would be here by Monday.

CONCEPT

Logic gates:

• It is an electric circuit, which works on simple Boolean algebra to perform a logical operation for one or more binary inputs that produce a single binary output.

Types of Logic gates:

AND Gate: If both the inputs are high, it produces a high output.

• The Boolean algebra for AND gate is X = A. B

OR gate: If any of the input is high, it produces a high output.

• The Boolean algebra for OR gate is X = A + B

NOT gate: It inverts the input. Whatever the input is given, it changes its value at the output.

• The Boolean algebra for NOT gate is X = X̅

EXPLANATION:

• In AND gate the output is 1 only when both the input is 1.
• So, If the output is 1 then,

A = 1 and B = 1.

• Hence, option 1 is correct.

Concept:

• Electric Current (I): The rate of flow of charge is called current. The unit of current is Ampere.
• Electric potential difference or voltage (V): The work done in bringing per unit positive charge from one point to another is called electric potential difference between the two points. Its SI unit is volt.
• Electric Resistance (R): The property of any substance to resist the flow of electric current across it is called electric resistance. Its unit is ohm (Ω)
• Ohms Law: According to Ohm's law, the relationship between current, voltage, and resistance is given as

V = IR

• Resistance is directly proportional to the length of the conductor.

R ∝ l

or

R = kl

Calculation:

Given

The resistance of wire R = 100Ω.

Potential difference V = 6 V

Current

Potential difference across 50cm = (Current across 50 cm resistor) × (Resistance of 50 cm resistor)

V' = IR'

Now, the current is same as the circuit is same. So, the current is

Explanation:

Valency: It is the combining capacity of an element to form bonds by sharing electron pairs to make stable chemical compounds.

Stability: It is the property of resistance of a molecule or compound to not react with other molecules, elements and compounds

Important Points

Magnesium:

• Magnesium is an element with the atomic number 12.
• It has the symbol Mg.
• It is a metal and thus its valency is +2.
• Its melting point is 650°C and its boiling point is 1090°C.
• Magnesium is the eighth-most abundant element.

Nitrogen:

• Nitrogen is non-metal with atomic number 7.
• It occurs in gaseous form as dinitrogen.
• It has electronic configuration 1s22s22p3.
• Its valency is either -3 or -5.
• Its melting point is -210°C and its boiling point are -195.8°C.

Silicon:

• Silicon has atomic number 14.
• It is represented with the symbol Si.
• Its melting point is 1410°C and its boiling point is 3265°C.
• It shows the valency of -4 or +4.

Argon:

• It is a chemical element with the atomic number 18.
• It is a Nobel gas and hence its valency is 0.
• It is in group 18 of the periodic table.
• Argon is the third most abundant gas in the Earth's atmosphere (0.094%)
• Uses: Fluorescent Lightning, Gas Discharge Tubes, Fluorescent Glow Starters.

Order of valencies:

Ar < Mg < N < Si

CONCEPT:

• We can get the expression for banking by doing the force balancing on a moving object on a circular track.
• Let F_N be the normal reaction of the train and θ is the angle of banking

Then,

And,

diving these two equations

we get

CALCULATION:

Given: v = 36 km/h = 10m/s

r = 10m, g = 10m/s²

Now

⇒ tanθ = 1

θ = 45^o

Hence the angle of banking required to prevent wearing out of the rail is 45^o.

Concept:

Torque:

• Torque is the measure of the force that can cause an object to rotate about an axis.
• Force is what causes an object to accelerate in linear kinematics.
• Mathematical expression, τ = Fr sinθ,
• where F = force, τ = torque, r = distance from the axis, θ = angle between the force and the distance from the axis
• This is known as a couple.

Angular Momentum:

• Angular momentum is the property of any rotating object given by moment of inertia times angular velocity.
• Mathematical expression, L = mvr, where m = mass, v = velocity, r = distance from the axis
• When no external torque is applied to the system, the angular momentum is conserved.
• The SI unit of angular momentum is kilogram meters squared per second (kg-m²/s).

Explanation:

• Consider a rod having length l that is allowed to move by both your hands.
• One hand applies force on one of the ends of the rod, while another hand applies force on the other hand.
• These two forces are having equal magnitude and the directions of the forces are opposite.
• These two forces cause the rotational movement of the object.
• The mathematical expression of a couple of forces is given as: τ = Fr, Where, F is the force and r is the distance
• The resultant force acting by the couple is zero. So, there is no linear movement of the object.
• Thus, the couple produces pure rotational motion of the object.
• If no external torque is applied to the system, then the system's angular momentum remains constant.
• When a child sits on a rotating disc, no torque is used (the weight of the child acts downward), so angular momentum will remain conserved.

Additional Information
Rotational Motion:

• Rotational motion can be defined as the motion of an object around a circular path, in a fixed orbit.
• The dynamics for rotational motion are completely analogous to linear or translational dynamics.
• Ceiling fan rotation, rotation of the minute hand and the hour hand in the clock, and the opening and closing of the door are some examples of rotation about a fixed point.

Concept:

Using mirror formula:

1v+1u=1f

Calculation:

Given u = -30cm , f = - R/2 = - 42/2 = - 21cm,

Hence the screen should be placed 70cm in front of the mirror in order to obtain a sharp image.

Hint

• The focal length for a concave mirror is negative because all the parallel rays reflecting from the mirror surface converge in front of the mirror and for a convex mirror focal length is positive because parallel rays converge inside the mirror virtually
• Conventionally left side of the mirror is taken is the negative and the right side is taken as positive, where parallel rays come from the left side.

Given:

Two matrices A and B of same order is given.

Concept Used:

A' = A, then A will be a symmetric matrix,

A' = - A, then A will be a skew- symmetric matrix.

Solution:

We have,

(AB' - BA') if we calculate (AB' - BA')'

⇒ (AB' - BA')' = (AB')' - (BA')'

⇒ (AB' - BA')' = (B')' A' - (A')' B' {(AB)' = B'A'}

⇒ (AB' - BA')" = B A' - A B' {(A')' = A}

⇒ (AB' - BA')' = - (AB' - BA')

Hence (AB' - BA') is skew-symmetric matrix.

$\therefore$ Option 1 is correct.

Given:

(1 + tan2θ)(1 − sinθ)(1 + sinθ)

Concept used:

(a² - b²) = (a + b)(a - b)

cosθ = 1/secθ

Calculation:

(1 + tan2θ)(1 − sinθ)(1 + sinθ)

⇒ (1 + tan2θ)(1 − sin²θ)

⇒ (sec2θ)(cos2θ)

⇒ sec2θ × 1/sec2θ

⇒ 1

∴ The required answer is 1.

Solution:

Given, S1 = {x ϵ R ∶ x2 + | x | - 2 = 0} and S2 = {x ϵ R ∶ x2 + x - 2 = 0}

For S₁ : x² + |x| - 2 = 0

Case 1: x ≥ 0

x² + x - 2 = 0

⇒ x² + 2x - x - 2 = 0

⇒ x(x + 2) -1(x + 2) = 0

⇒ (x - 1)(x + 2) = 0

⇒ x = 1 and -2

But according to case 1, x ≠ -2

x = 1

Case 2: x < 0

x² - x - 2 = 0

⇒ x² + x - 2x - 2 = 0

⇒ x(x + 1) -2(x + 1) = 0

⇒ (x - 2)( x + 1) = 0

⇒ x = 2 and -1

But according to case 2, x ≠ 2

x = -1

Hence, S₁ = {1, -1}

For S₂: x² + x - 2 = 0

⇒ x2 + 2x - x - 2 = 0

⇒ x(x + 2) -1(x + 2) = 0

⇒ (x - 1)(x + 2) = 0

⇒ x = 1 and -2

Hence, S₂ = {1, -2}

So, S₁ ∩ S₂ = {1, -1} ∩ {1, -2}

= {1}

∴ The correct option is (4)

Given:

Number of elements in A = m

Number of elements in B = n

Concept used:

a^m/aⁿ = a^{m - n}

Number of subsets in a set = 2^{Number of elements in a set.}

Calculation:

Number of subsets in set A = 2^m

Number of subsets in set B = 2ⁿ

According to question

Number of subsets in A = 2^k + the number of non empty subsets of B

2^m = 2^k + 2ⁿ

⇒ 2^m - 2ⁿ = 2^k

Now, from option 1, m = n + 2

2^{n + 2} - 2ⁿ = 2^k

⇒ 2ⁿ(2² - 1) = 2^k

⇒ 2ⁿ ( 4 - 1) = 2^k

⇒ 2ⁿ (3) = 2^k

⇒ 3 = 2^k/2ⁿ

⇒ 3 = 2^{k - n}

As k and n are positive integers. so,there will be no value when L.H.S = R.H.S

Now, from option 2, m = n + 1

2n + 1 - 2n = 2k

⇒ 2n(2¹ - 1) = 2k

⇒ 2n (2 - 1) = 2k

⇒ 2n (1) = 2k

⇒ 2ⁿ = 2^k

As n = k is possible.

Now from option 3, m = n + p(where p are odd prime numbers)

2n + p - 2n = 2k

⇒2n(2^p - 1) = 2k

⇒2^p - 1 = 2^k/2ⁿ

⇒2^p - 1 = 2^{k - n}

As for all the values of k and n, RHS is always will be even value, but when we take the value of p, there LHS always will be odd value. Hence, this option is not correct.

Now, option 4, m = n + t for some composite number t

2n + t - 2n = 2k

Concept:

The minimum and maximum value of a.sin x ± b.cos x is given by:

Calculation:

Given: sin x - √8cos x - 2

Compare sin x - √8cox x is a.sinx - b.cosx

Here a = 1 and b = √8

⇒

⇒

Subtract 2 in the above equation

⇒ -3 - 2 ≤ sin x - √8.cos x - 2 ≤ 3 - 2

⇒ -5 ≤ sin x - √8.cos x - 2 ≤ 1

Range [- 5, 1]

CONCEPT:

Power Set:

Let A be set, then the set of all the possible subsets of A is called the power set of A and is denoted by P(A)

i.e P(A) = {X : X ⊆ A}.

Note: If A is a finite set with m elements. Then the number of elements (cardinality) of the power set of A is given by: n (P(A)) = 2m.

CALCULATION:

Given: Set A contains 20 elements.

i.e n(A) = 20

As we know that if A is a finite set with m elements. Then the number of elements (cardinality) of the power set of A is given by:

n (P(A)) = 2m.

⇒ n (P(A)) = 2²⁰

∴ There are total 220 elements in the power set of A.

Concept:

The solution of the linear differential equation  is given by

y × I.F =

Where P and Q are the functions of 'x' and I.F =

Explanation:

Given differential equation an be written as

⇒  which is linear.

So IF =

Option (2) is correct

Formula used:

1. Midpoint of coordinates (x₁, y₁) & (x₂, y₂)

=

2. The equation of passing through (x₁, y₁) and slope m is

y - y₁ = m(x - x₁)

3. If the slope of two perpendicular lines is m₁ & m₂ then

m₁ × m₂ = -1

Calculation:

Let slope of the projection line (L) is m.

We know that line joining the PQ will be perpendicular to line L.

The slope of line PQ × Slope of line L = -1

⇒ −2−22+6 × m = -1

⇒ m = 2

Coordinates of the midpoint of PQ i.e. R

=  = (-2, 0)

Also, the line (L) will be passing through R.

Hence, equation of line L

= y - 0 = 2(x + 2)

⇒ 2x - y + 4 = 0

The correct answer is Option 2.

Key Points

• Vitamin B3, also known as niacin or nicotinic acid, is one of the eight B vitamins. It plays a crucial role in the proper functioning of the body and is involved in various metabolic processes.
• Here are some key points about vitamin B3:
  • Function: Niacin is essential for the conversion of carbohydrates, fats, and proteins into energy.
  • Sources: Niacin can be obtained from both animal and plant sources.
  • Forms: Niacin exists in two forms: nicotinic acid and niacinamide (nicotinamide).
  • Deficiency: Severe niacin deficiency leads to a condition known as pellagra.
  • Recommended Daily Intake: The recommended daily intake of niacin varies depending on age, sex, and life stage.

Additional Information

• Vitamin B1, also known as thiamine, is one of the eight B-vitamins that play essential roles in maintaining the proper functioning of our bodies
• Vitamin B2, also known as riboflavin, is one of the water-soluble vitamins belonging to the B-complex group. It plays a crucial role in maintaining overall health and is involved in various metabolic processes in the body.

The correct answer is 4.

Key Points

• The National Emblem of India was adopted on 26 January 1950.
• It is inspired by the Lion Capital of Ashoka which is a statue from 250 BCE situated at Sarnath.
• The animals demonstrated on the pillar are horse, bull, elephant, and lion.
• The elephant denotes Buddha’s outset (the dream of a white elephant entering her womb dreamt by Buddha’s mother at the time of Buddha’s conception).
• The bull symbolizes the Zodiac sign of Buddha- Taurus.
• The horse signifies Buddha’s horse which he rode at the time of departing from the citadel.
• The lion indicates enlightenment.
• The Emblem is the part of the official letterhead of all the papers of the Government of India and also appears in the Indian currency.
• It can be seen in many Indian places and on Indian passports as well.
• Ashok Chakra on its base has been used as the center of the National Flag of India.

The correct answer is - Nadu

Key Points

• Nadu was the term used to describe a group of villages in the Chola administration.
  • This organizational structure allowed for more efficient governance and administration of the empire, facilitating tasks such as tax collection and justice dispensation at a local level.

Additional Information

• Ur referred to individual settlements or villages, and were the basic units that conglomerated to form a Nadu.
  • Ur were critical for the sustainable development of irrigation agriculture, which was a key to prosperity in the Chola Empire.
• Velan was a term used for a specific title, especially in the context of landowners and peasants, but not to describe a group of villages.
  • Rich peasants could be given titles like 'muvendavelan' as a marker of respect and authority within the administrative structure..

Concept:

• India is a country of vast geographical expanse.
• In the north, it is bound by the lofty Himalayas.
• The Arabian Sea in the west, forming the west coast.
• The Bay of Bengal in the east, forming the east coast.
• The Indian Ocean in the south.

Explanation:

Important Points

Thus, Paradip and Haldia ports are located on the Eastern coast of India.

The answer is Bangladesh.

Key Points

• The 2024 ICC Women's T20 World Cup will be hosted by Bangladesh.
• The tournament is scheduled to take place between September and October 2024.
• This will be the second time that Bangladesh has hosted the ICC Women's T20 World Cup, having previously done so in 2014.

Mistake Points

• The ICC Men's T20 World Cup 2024 will be played in the West Indies and USA from 1-29 June 2024.

• The ICC Women's T20 World Cup is an international championship of Twenty20 International cricket for women.
• It is organized by the International Cricket Council (ICC), the governing body of international cricket.
• The inaugural tournament took place in England in 2009, coinciding with the men's T20 World Cup.
• The tournament was initially held every two years, but from 2020 onwards, it is held every year except for the years when the Women's Cricket World Cup (50-over format) is scheduled.
• The format of the tournament usually involves a round-robin group stage followed by knockout stages, leading to a final match to determine the world champion.
• Australia has been the most successful team in the tournament's history, with multiple championship titles to their name.
• The ICC Women's T20 World Cup is a major global event in women's cricket and plays a significant role in promoting and developing women's cricket worldwide.
• It provides an international platform for female cricketers and has substantially increased the visibility and popularity of women's cricket.

The logic followed here is:

So, '3951' will complete the series.

Hence, the correct answer is "Option 2".

The correct answer is Meghalaya.

Key Points

• Drums Festival
  • Hundred Drum Festival also known as the 'Wangala Festival, the Wangala Festival is a traditional festival in the northeastern Indian state of Meghalaya.
  • A group of 30 dancers with 10 drums would form a group and 10 such groups will be there.
  • Thus, a total of 100 drummers and 300 dancers make up what is now known as the “100 Drums Wangala Festival”.
  • Every year the festival is celebrated for 3 days during the month of November.
  • Ordinary Garo people pay gratitude and reverence to Missi Saljong or 'Pattigipa Ra'Rongipa' (Great Giver) for blessing humans with a prosperous harvest for the season.

Important Points

• The Wangala festival marks the end of a period of toil, that brings good results to the fields which also signifies the onset of winter.
• It is also celebrated in honour of the Sun God that marks the end of the long harvest season.
• Wangala is celebrated with different forms of dance.
• These dances are performed on the tunes of folk songs that are played on drums and primitive flute.
• Additionally, these flutes are made of buffalo horns.
• On the first day of the festival, people celebrate it with a ceremony called Ragula.
• This ceremony is performed in the house of the village’s chief.
• Then on the second day of celebration, which is called Kakkat, people begin the ceremony by dancing to the rhythms of long oval-shaped drums
• In this celebration, young and old join together while men play the drums and women perform traditional dance forms. The dance form is known as Dama Dagota.​

Additional Information

• Meghalaya:
  • Lok Sabha seats - 2.
  • Rajya Sabha seats - 1.
  • State Animal - Clouded leopard.
  • State Bird - Common hill myna.
  • National Parks - Balphakram National Park, Nokrek Ridge National Park.

The correct answer is Damodar River.

Key Points

• Damodar River: It was earlier known as the" River of Sorrows" as it used to flood many areas Of Bardhaman, Hooghly, Howrah, and Medinipur districts. Even now the floods sometimes affect the lower Damodar Valley, but the Havoc it wreaked in earlier years is now a matter of history. the floods were virtually an annual ritual.
• Physical Characteristics
  • Source Location- Chulha Pani ( Chandwa/Tori), Latehar, Chota Nagpur Plateau(Jharkhand)
  • Mouth location- Hooghly river, Howrah district, (West Bengal)
  • Length- 592 km
• Tributaries
  • Left Tributaries- Barakar, Konar, Jamuna
  • Right Tributaries- Sali (West Bengal)​​

Additional Information

• ​Ganga River: The Ganges or Ganga is a transboundary river of Asia that flows through India and Bangladesh.
• Physical Characteristics
  • Source Location- Gangotri Glacier( Uttarakhand)
  • Mouth Location- The Bay of Bengal
  • Length - 2704 km
• Tributaries
  • Left Tributaries- Ghaghara, Gandak, Burhi, Gandak, Koshi, Mahananda, Bramhaputra
  • Right Tributaries-Yamuna, Tamsa, Sone, Punpun, Falgu, Kiul, Karamnasa, Chandan, Ajoy, Rupnarayan

Saryu River: The Saryu River is also known as Sarju, is a major river draining the Central Kumaon Region in the Indian state of Uttarakhand. The Saryu River is the largest tributary of the Sharda River. The river forms the south-eastern border between the districts of Pithoragarh and Almora.

• Physical Characteristics
  • Source Location- Sarmul, 15km south of Nanda Kot
  • Mouth Location- Sharda River ( Uttarakhand)
  • Length- 130 km
• Tributaries
  • Left Tributaries- Ramganga, Punger
  • Right Tributaries- Gomati, Panar, Lahor

Mahanadi River: The Mahanadi is a major river in East Central India. The River flows through the states of Madhya Pradesh, Chattisgarh, and Odisha.

• Physical Characteristics
  • Source Location-Sihawa,Dhamtari, Dandakaranya (Chattisgarh )
  • Mouth location- Jagatsinghpur ( Odisha)
  • Length-858 km
• Tributaries
  • Left Tributaries- Seonath, Mand, Hasdeo
  • Right Tributaries- Jonk, Telen, Parry

Using BODMAS rule as follows:

Decoding the given information:

Given: 10 + [{(15 - 5) × (2 ÷ 3)} + (12 × 5)]

After applying the symbols:

⇒ 10 ÷ [{(15 + 5) - (2 × 3)} ÷ (12 - 5)]

⇒ 10 ÷ [{(20) - (6)} ÷ (7)]

⇒ 10 ÷ [{20 - 6} ÷ (7)]

⇒ 10 ÷ [14 ÷ 7]

⇒ 10 ÷ [2]

⇒ 10 ÷ 2

⇒ 5

Hence, the correct answer is "option (4)".

The correct answer is the United Kingdom.

In News

• PIB News: The 7th edition of the joint military exercise “AJEYA WARRIOR-23” between India and the United Kingdom is being conducted at Salisbury Plains, United Kingdom.

Key Points AJEYA WARRIOR - 2023:

• The 7th edition of the joint military exercise “AJEYA WARRIOR-23” between India and the United Kingdom is being conducted in the United Kingdom from 27 April to 11 May 2023.
• Exercise AJEYA WARRIOR is a biennial training event with the United Kingdom which is conducted alternatively in the United Kingdom and India.
• The aim of the exercise is to build positive military relations, imbibe each other’s best practices, and promote the ability to operate together while undertaking company-level sub-conventional operations in urban and semi-urban environments under UN mandate.
• The scope of this exercise involves a Command Post Exercise (CPX) at the Battalion level and Company level Field Training Exercise (FTX).
• During the exercise, participants will engage in a variety of missions testing their operational acumen in various simulated situations; showcasing and refining their tactical drills, and learning from each other’s operational experience.
• This exercise made another significant milestone in defense cooperation between the Indian Army and British Army which will further foster the bilateral relations between the two nations.