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Defence Exams

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Defence Exams MCQ & Objective Questions

Defence Exams play a crucial role in shaping the future of aspiring candidates in India. These exams not only assess knowledge but also test the ability to apply concepts in real-world scenarios. Practicing MCQs and objective questions is essential for effective exam preparation, as it helps students identify important questions and enhances their understanding of key topics.

What You Will Practise Here

Fundamentals of Defence Studies
Key Historical Events and Their Impact
Important Defence Policies and Strategies
Current Affairs Related to National Security
Basic Concepts of Military Operations
Understanding Defence Technologies
Analysing Defence Budget and Expenditure

Exam Relevance

The topics covered in Defence Exams are highly relevant across various educational boards, including CBSE and State Boards, as well as competitive exams like NEET and JEE. Students can expect questions that focus on historical events, current affairs, and fundamental concepts related to defence. Common question patterns include multiple-choice questions that assess both theoretical knowledge and practical application.

Common Mistakes Students Make

Overlooking current affairs, which are often integrated into exam questions.
Confusing similar historical events or dates, leading to incorrect answers.
Neglecting the importance of definitions and key terms in objective questions.
Relying solely on rote memorization instead of understanding concepts.

FAQs

Question: What types of questions can I expect in Defence Exams?
Answer: You can expect a mix of MCQs covering historical events, current affairs, and fundamental concepts related to defence.

Question: How can I improve my performance in Defence Exams?
Answer: Regular practice of MCQs and understanding key concepts will significantly enhance your performance.

Start your journey towards success by solving practice MCQs today! Testing your understanding will not only boost your confidence but also prepare you for the important Defence Exams ahead.

NDA

Q. If a machine has an efficiency of 80% and it does 400 J of useful work, how much energy was supplied to the machine? (2023)

A. 500 J
B. 400 J
C. 320 J
D. 600 J

Solution

Efficiency = Useful Work / Total Energy Input. Total Energy Input = Useful Work / Efficiency = 400 J / 0.8 = 500 J.

Correct Answer: A — 500 J

Q. If a matrix has more columns than rows, it is called a: (2022)

A. Row matrix
B. Column matrix
C. Rectangular matrix
D. Square matrix

Solution

A matrix with more columns than rows is referred to as a rectangular matrix.

Correct Answer: C — Rectangular matrix

Q. If a matrix is both upper triangular and lower triangular, what type of matrix is it? (2020)

A. Zero matrix
B. Identity matrix
C. Diagonal matrix
D. Square matrix

Solution

A matrix that is both upper and lower triangular must have non-zero elements only on the diagonal, making it a diagonal matrix.

Correct Answer: C — Diagonal matrix

Q. If a matrix is diagonal, what can be said about its non-diagonal elements? (2020)

A. They are all zero
B. They are all one
C. They can be any value
D. They are negative

Solution

In a diagonal matrix, all non-diagonal elements are zero.

Correct Answer: A — They are all zero

Q. If a matrix is diagonal, which of the following must be true? (2020)

A. All elements are zero
B. Only diagonal elements are non-zero
C. All elements are equal
D. It is a square matrix

Solution

A diagonal matrix has non-zero elements only on its main diagonal, while all other elements are zero.

Correct Answer: B — Only diagonal elements are non-zero

Q. If a matrix is said to be orthogonal, what property does it have?

A. All elements are zero
B. Transpose is equal to its inverse
C. All diagonal elements are equal
D. It is a square matrix

Solution

An orthogonal matrix is defined as a square matrix whose transpose is equal to its inverse.

Correct Answer: B — Transpose is equal to its inverse

Q. If a matrix is said to be skew-symmetric, what must be true about its elements? (2023)

A. All elements are zero
B. a_ij = -a_ji
C. a_ij = a_ji
D. All diagonal elements are zero

Solution

A skew-symmetric matrix satisfies the condition a_ij = -a_ji for all i and j.

Correct Answer: B — a_ij = -a_ji

Q. If a matrix is symmetric, what can be said about its elements? (2021)

A. Aij = Aji
B. Aij = -Aji
C. Aij = 0
D. Aij = Aii

Solution

A symmetric matrix satisfies the condition Aij = Aji for all i and j.

Correct Answer: A — Aij = Aji

Q. If a matrix is symmetric, what property does it have?

A. A = A^T
B. A = -A
C. A^2 = I
D. A = 0

Solution

A symmetric matrix is defined by the property A = A^T, meaning it is equal to its transpose.

Correct Answer: A — A = A^T

Q. If a matrix is symmetric, which of the following must be true? (2021)

A. A = A^T
B. A = -A^T
C. A^2 = I
D. A^T = 0

Solution

A matrix A is symmetric if it is equal to its transpose, i.e., A = A^T.

Correct Answer: A — A = A^T

Q. If a meal contains 40 grams of carbohydrates, 10 grams of protein, and 5 grams of fat, how many total calories does it provide? (Carbohydrates = 4 cal/g, Protein = 4 cal/g, Fat = 9 cal/g)

A. 210 calories
B. 230 calories
C. 250 calories
D. 270 calories

Solution

Total calories = (40g * 4) + (10g * 4) + (5g * 9) = 160 + 40 + 45 = 245 calories.

Correct Answer: B — 230 calories

Q. If a meal contains 50 grams of carbohydrates, 20 grams of protein, and 10 grams of fat, what is the total caloric value of the meal? (Carbohydrates = 4 cal/g, Protein = 4 cal/g, Fat = 9 cal/g) (2023)

A. 320 calories
B. 350 calories
C. 370 calories
D. 400 calories

Solution

Total calories = (50g * 4) + (20g * 4) + (10g * 9) = 200 + 80 + 90 = 370 calories.

Correct Answer: C — 370 calories

Q. If a measurement is recorded as 0.00456 m, how many significant figures are in this measurement?

A. 2
B. 3
C. 4
D. 5

Solution

The leading zeros are not significant. Therefore, 0.00456 has 3 significant figures.

Correct Answer: B — 3

Q. If a measurement is recorded as 12.30 cm, what is the absolute error if the true value is 12.5 cm?

A. 0.2 cm
B. 0.3 cm
C. 0.1 cm
D. 0.4 cm

Solution

Absolute error = |Measured value - True value| = |12.30 - 12.5| = 0.2 cm.

Correct Answer: B — 0.3 cm

Q. If a member of Parliament serves a term of 5 years and is re-elected for another term, how many years will they serve in total?

A. 5
B. 10
C. 15
D. 20

Solution

Total years served = 5 years + 5 years = 10 years.

Correct Answer: B — 10

Q. If a member of Parliament serves a term of 5 years, how many terms can a member serve in 20 years?

A. 2
B. 3
C. 4
D. 5

Solution

Number of terms = 20 years / 5 years per term = 4 terms.

Correct Answer: C — 4

Q. If a member of the Rajya Sabha serves a term of 6 years, how many members can be elected in a year if 1/3 of the members retire every 2 years and there are 245 members?

A. 40
B. 41
C. 42
D. 43

Solution

Members retiring every 2 years = 1/3 of 245 = 81.67, rounded down to 81. Therefore, 41 members can be elected every year.

Correct Answer: A — 40

Q. If a member of the Rajya Sabha serves a term of 6 years, how many members will complete their term in a year if there are 245 members?

A. 40
B. 41
C. 42
D. 43

Solution

If 245 members serve 6 years, then 245/6 = 40.83, approximately 41 members complete their term in a year.

Correct Answer: B — 41

Q. If a military base has 150 soldiers and each soldier consumes 2.5 kg of food per week, how much food is required for the base for 4 weeks? (2022)

A. 1500 kg
B. 1200 kg
C. 1000 kg
D. 600 kg

Solution

Total food = 150 soldiers * 2.5 kg/soldier/week * 4 weeks = 1500 kg.

Correct Answer: A — 1500 kg

Q. If a military base has a budget of $10,000 and spends $2,500 per month, how many months can it sustain its operations? (2023)

A. 2 months
B. 3 months
C. 4 months
D. 5 months

Solution

Number of months = Total budget / Monthly expenditure = $10,000 / $2,500 = 4 months.

Correct Answer: C — 4 months

Q. If a military vehicle travels at a speed of 60 km/h, how far will it travel in 2.5 hours? (2021)

A. 120 km
B. 150 km
C. 180 km
D. 200 km

Solution

Distance = Speed × Time = 60 km/h × 2.5 h = 150 km

Correct Answer: B — 150 km

Q. If a military vehicle travels at a speed of 60 km/h, how long will it take to cover a distance of 180 km? (2021)

A. 2 hours
B. 3 hours
C. 4 hours
D. 5 hours

Solution

Time = Distance / Speed = 180 km / 60 km/h = 3 hours.

Correct Answer: B — 3 hours

Q. If a missile travels at a speed of 300 m/s, how long will it take to reach a target 1500 meters away? (2020)

A. 3 s
B. 4 s
C. 5 s
D. 6 s

Solution

Time = Distance / Speed = 1500 m / 300 m/s = 5 s

Correct Answer: C — 5 s

Q. If a national budget is increased by 10% each year, what will be the budget after 3 years if the current budget is $500 million?

A. $665.5 million
B. $600 million
C. $550 million
D. $750 million

Solution

Budget after 3 years = 500 * (1 + 0.10)^3 = 500 * 1.331 = $665.5 million.

Correct Answer: A — $665.5 million

Q. If a national campaign aims to plant 1 million trees in 5 years, how many trees should be planted each year to meet the goal? (2023)

A. 200,000
B. 250,000
C. 300,000
D. 150,000

Solution

Trees to be planted each year = 1,000,000 / 5 = 200,000.

Correct Answer: B — 250,000

Q. If a national campaign aims to reduce pollution by 15% each year and the current pollution level is 200 units, what will be the pollution level after 2 years? (2020)

A. 169
B. 170
C. 180
D. 150

Solution

Pollution after 2 years = 200 * (1 - 0.15)^2 = 200 * 0.7225 = 144.5, rounded to 169.

Correct Answer: A — 169

Q. If a national event attracts 1,200 visitors and 25% of them are from abroad, how many visitors are from the country?

A. 900
B. 300
C. 600
D. 800

Solution

Visitors from abroad = 25% of 1,200 = 0.25 * 1,200 = 300. Visitors from the country = 1,200 - 300 = 900.

Correct Answer: A — 900

Q. If a national event attracts 1,500 visitors and 30% of them are from abroad, how many visitors are from the country?

A. 1,050
B. 1,200
C. 1,500
D. 450

Solution

Number of visitors from abroad = 30% of 1,500 = 0.30 * 1,500 = 450. Visitors from the country = 1,500 - 450 = 1,050.

Correct Answer: A — 1,050

Q. If a national event has 1,200 participants and 15% of them are from abroad, how many participants are from the country? (2022)

A. 1,020
B. 1,100
C. 1,050
D. 1,200

Solution

Number of participants from abroad = 15% of 1,200 = 0.15 * 1,200 = 180. Participants from the country = 1,200 - 180 = 1,020.

Correct Answer: A — 1,020

Q. If a national event has a 15% increase in attendance each year, what will be the attendance after 2 years if the current attendance is 1,000?

A. 1,322
B. 1,150
C. 1,200
D. 1,300

Solution

Attendance after 2 years = 1,000 * (1 + 0.15)^2 = 1,000 * 1.3225 = 1,322.

Correct Answer: A — 1,322

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