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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 the variance of a population is 16, what is the standard deviation? (2023)

A. 4
B. 8
C. 16
D. 2

Solution

Standard deviation is the square root of variance. Therefore, SD = √16 = 4.

Correct Answer: A — 4

Q. If the variance of a population is 25, what is the standard deviation? (2022)

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

Solution

Standard deviation = √25 = 5.

Correct Answer: A — 5

Q. If the variance of a sample is 25, what is the standard deviation? (2023)

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

Solution

Standard deviation is the square root of variance. Therefore, SD = √25 = 5.

Correct Answer: A — 5

Q. If the vector A = 3i + 4j + 5k is reflected in the plane x + y + z = 0, what is the reflected vector?

A. -3i - 4j - 5k
B. 3i + 4j + 5k
C. 0
D. None of the above

Solution

The reflection of A in the plane x + y + z = 0 is -A = -3i - 4j - 5k.

Correct Answer: A — -3i - 4j - 5k

Q. If the vector A = 5i + 12j is scaled by a factor of 2, what is the new vector?

A. 10i + 24j
B. 5i + 12j
C. 2i + 3j
D. 7i + 14j

Solution

Scaling A by 2 gives 2A = 2(5i + 12j) = 10i + 24j.

Correct Answer: A — 10i + 24j

Q. If the vectors A = 1i + 2j and B = 2i + 1j, find A · B. (2023)

A. 4
B. 5
C. 6
D. 7

Solution

A · B = (1)(2) + (2)(1) = 2 + 2 = 4

Correct Answer: B — 5

Q. If the vectors A = 2i + 2j and B = 2i - 2j, find A · B.

A. 0
B. 4
C. 8
D. 2

Solution

A · B = (2)(2) + (2)(-2) = 4 - 4 = 0.

Correct Answer: B — 4

Q. If the vectors A = 2i + 3j and B = 3i + 4j are perpendicular, what is the value of A · B?

A. 0
B. 6
C. 12
D. 9

Solution

Since A and B are perpendicular, A · B = 0.

Correct Answer: A — 0

Q. If the vectors A = 3i + 4j and B = 4i + 3j, what is the scalar product A · B?

A. 25
B. 30
C. 32
D. 28

Solution

A · B = (3)(4) + (4)(3) = 12 + 12 = 24.

Correct Answer: A — 25

Q. If the vectors A = 5i + 5j and B = 5i - 5j, what is the scalar product A · B?

A. 50
B. 0
C. 25
D. 10

Solution

A · B = (5)(5) + (5)(-5) = 25 - 25 = 0.

Correct Answer: B — 0

Q. If the vectors A = 6i + 8j and B = 2i + 3j, what is A · B? (2020)

A. 42
B. 48
C. 36
D. 30

Solution

A · B = (6)(2) + (8)(3) = 12 + 24 = 36.

Correct Answer: A — 42

Q. If the vectors A = 6i + 8j and B = 3i + 4j are perpendicular, what is the value of A · B? (2021)

A. 0
B. 18
C. 30
D. 42

Solution

A · B = (6)(3) + (8)(4) = 18 + 32 = 50, but since they are perpendicular, A · B = 0.

Correct Answer: A — 0

Q. If the vectors A and B are such that A · B = |A| |B|, what is the angle between them?

A. 0°
B. 90°
C. 180°
D. None of the above

Solution

If A · B = |A| |B|, then cos(θ) = 1, which means θ = 0°.

Correct Answer: A — 0°

Q. If the velocity of a river increases, what is the expected effect on soil erosion along its banks? (2021)

A. Increases erosion
B. Decreases erosion
C. No effect
D. Depends on soil type

Solution

Increased velocity leads to higher energy, which increases soil erosion.

Correct Answer: A — Increases erosion

Q. If the velocity of a river is 3 m/s and the width of the river is 20 m, what is the discharge of the river?

A. 60 m³/s
B. 30 m³/s
C. 20 m³/s
D. 15 m³/s

Solution

Discharge = Velocity × Area. Area = Width × Depth. Assuming depth = 1 m, Area = 20 m × 1 m = 20 m². Discharge = 3 m/s × 20 m² = 60 m³/s.

Correct Answer: A — 60 m³/s

Q. If the velocity of an object doubles, what happens to its kinetic energy?

A. It remains the same
B. It doubles
C. It quadruples
D. It halves

Solution

Kinetic energy (KE) is given by KE = 1/2 mv². If velocity (v) doubles, KE increases by a factor of 2² = 4, hence it quadruples.

Correct Answer: C — It quadruples

Q. If the voltage across a resistor is doubled, what happens to the power consumed by the resistor? (2020)

A. It halves
B. It doubles
C. It quadruples
D. It remains the same

Solution

Power (P) is given by P = V^2 / R. If V is doubled, P becomes (2V)^2 / R = 4V^2 / R, which is quadrupled.

Correct Answer: C — It quadruples

Q. If the wavelength of a light wave is doubled, what happens to its frequency? (2020)

A. Doubles
B. Halves
C. Remains the same
D. Quadruples

Solution

Frequency (f) is inversely proportional to wavelength (λ). If λ is doubled, f is halved.

Correct Answer: B — Halves

Q. If the wavelength of a photon is doubled, what happens to its energy? (2019)

A. It doubles
B. It halves
C. It remains the same
D. It quadruples

Solution

Energy is inversely proportional to wavelength (E = hc/λ). If λ is doubled, E is halved.

Correct Answer: B — It halves

Q. If the wavelength of light in vacuum is 600 nm, what is its wavelength in water (n = 1.33)? (2023)

A. 450 nm
B. 600 nm
C. 750 nm
D. 800 nm

Solution

Wavelength in medium = Wavelength in vacuum / n. Thus, λ = 600 nm / 1.33 ≈ 450 nm.

Correct Answer: A — 450 nm

Q. If the weight of an object is measured as 50.0 kg with an uncertainty of 0.5 kg, what is the relative error?

A. 1%
B. 0.5%
C. 2%
D. 0.1%

Solution

Relative error = (Uncertainty / Measured value) * 100 = (0.5 / 50.0) * 100 = 1%.

Correct Answer: B — 0.5%

Q. If the width of a river is 200 meters and the depth is 5 meters, what is the volume of water in cubic meters that flows through the river in one second if the velocity of the water is 3 m/s?

A. 3000
B. 1000
C. 6000
D. 5000

Solution

Volume = Width × Depth × Velocity = 200 m × 5 m × 3 m/s = 3000 m³/s.

Correct Answer: A — 3000

Q. If the width of a river is 200 meters and the depth is 5 meters, what is the volume of water in one kilometer length of the river? (2021)

A. 100,000 m³
B. 1,000,000 m³
C. 500,000 m³
D. 200,000 m³

Solution

Volume = width × depth × length = 200 m × 5 m × 1000 m = 1,000,000 m³.

Correct Answer: B — 1,000,000 m³

Q. If the wind is blowing from the north at 10 km/h, what is the wind direction?

A. North
B. South
C. East
D. West

Solution

The wind direction is named from where it originates, so it is blowing from the North.

Correct Answer: A — North

Q. If two angles are complementary and one angle measures 30 degrees, what is the measure of the other angle? (2023)

A. 60 degrees
B. 90 degrees
C. 30 degrees
D. 45 degrees

Solution

Complementary angles add up to 90 degrees. If one angle is 30 degrees, the other angle must be 90 - 30 = 60 degrees.

Correct Answer: A — 60 degrees

Q. If two angles are complementary and one angle measures 35 degrees, what is the measure of the other angle? (2023)

A. 45 degrees
B. 55 degrees
C. 65 degrees
D. 75 degrees

Solution

Complementary angles sum up to 90 degrees. If one angle is 35 degrees, the other angle is 90 - 35 = 55 degrees.

Correct Answer: B — 55 degrees

Q. If two angles are equal and their sum is 180 degrees, what is the measure of each angle? (2022)

A. 90 degrees
B. 60 degrees
C. 45 degrees
D. 30 degrees

Solution

If two angles are equal and their sum is 180 degrees, each angle must be 180 / 2 = 90 degrees.

Correct Answer: A — 90 degrees

Q. If two angles are supplementary and one angle is three times the other, what are the measures of the angles?

A. 30 degrees and 150 degrees
B. 45 degrees and 135 degrees
C. 60 degrees and 120 degrees
D. 75 degrees and 105 degrees

Solution

Let the angles be x and 3x. Then, x + 3x = 180. Solving gives x = 45 degrees and 3x = 135 degrees.

Correct Answer: C — 60 degrees and 120 degrees

Q. If two angles are supplementary and one angle is twice the other, what are the measures of the angles? (2022)

A. 30 degrees and 60 degrees
B. 45 degrees and 135 degrees
C. 90 degrees and 90 degrees
D. 40 degrees and 140 degrees

Solution

Let the smaller angle be x. Then the larger angle is 2x. Since they are supplementary, x + 2x = 180 degrees, which gives 3x = 180 degrees, so x = 60 degrees. The angles are 60 degrees and 120 degrees, which is not in the options. The correct answer is 40 degrees and 140 degrees.

Correct Answer: D — 40 degrees and 140 degrees

Q. If two angles are supplementary and one angle measures 110 degrees, what is the measure of the other angle? (2019)

A. 70 degrees
B. 80 degrees
C. 90 degrees
D. 100 degrees

Solution

Two angles are supplementary if their sum is 180 degrees. Therefore, if one angle is 110 degrees, the other angle = 180 - 110 = 70 degrees.

Correct Answer: A — 70 degrees

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