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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. What is the projection of vector A = 3i + 4j onto vector B = 2i + 2j?

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

Solution

Projection = (A · B / |B|^2) * B = (14 / 8) * (2i + 2j) = (7/4)(2i + 2j) = 3.5i + 3.5j.

Correct Answer: A — 5

Q. What is the projection of vector A = 6i + 8j onto vector B = 2i + 2j?

A. 8
B. 6
C. 4
D. 10

Solution

Projection of A onto B = (A · B / |B|^2) * B = ((6*2 + 8*2) / (2^2 + 2^2)) * (2i + 2j) = (28/8)(2i + 2j) = 7i + 7j.

Correct Answer: A — 8

Q. What is the range of the data set: 8, 3, 5, 12, 7?

A. 5
B. 9
C. 8
D. 7

Solution

Range = Maximum - Minimum = 12 - 3 = 9

Correct Answer: B — 9

Q. What is the rank of the matrix B = [[1, 2, 3], [4, 5, 6], [7, 8, 9]]? (2019)

A. 1
B. 2
C. 3
D. 0

Solution

The rows of B are linearly dependent, hence the rank of B is 2.

Correct Answer: B — 2

Q. What is the rank of the matrix D = [[1, 2, 3], [4, 5, 6], [7, 8, 9]]? (2019)

A. 1
B. 2
C. 3
D. 0

Solution

The rows of D are linearly dependent, hence the rank of D is 2.

Correct Answer: B — 2

Q. What is the rank of the matrix E = [[1, 2, 3], [0, 0, 0], [4, 5, 6]]?

A. 1
B. 2
C. 3
D. 0

Solution

The rank of a matrix is the maximum number of linearly independent row vectors. Here, the first and third rows are independent, while the second row is zero. Thus, the rank is 2.

Correct Answer: B — 2

Q. What is the rank of the matrix E = [[1, 2, 3], [4, 5, 6], [7, 8, 9]]? (2023)

A. 1
B. 2
C. 3
D. 0

Solution

The rank of E is 2 because the rows are linearly dependent (the third row is a linear combination of the first two).

Correct Answer: B — 2

Q. What is the real part of the complex number z = -2 + 3i? (2020)

A. -2
B. 3
C. 1
D. 0

Solution

The real part of z is -2.

Correct Answer: A — -2

Q. What is the real part of the complex number z = 3 - 5i? (2019)

A. 3
B. -5
C. 5
D. 0

Solution

The real part of z is 3.

Correct Answer: A — 3

Q. What is the real part of the complex number z = 4 + 5i? (2022)

A. 4
B. 5
C. 9
D. 0

Solution

The real part of z = 4 + 5i is 4.

Correct Answer: A — 4

Q. What is the real part of the complex number z = 4 - 3i? (2023)

A. 4
B. -3
C. 3
D. 0

Solution

The real part of z is 4.

Correct Answer: A — 4

Q. What is the recommended daily intake of fiber for adults?

A. 10-15 grams
B. 20-25 grams
C. 25-30 grams
D. 30-35 grams

Solution

The recommended daily intake of fiber for adults is 25-30 grams to maintain digestive health.

Correct Answer: C — 25-30 grams

Q. What is the recommended daily intake of fruits and vegetables for a healthy diet?

A. 1-2 servings
B. 3-5 servings
C. 5-7 servings
D. 7-10 servings

Solution

The recommended daily intake is 5-7 servings of fruits and vegetables for optimal health.

Correct Answer: B — 3-5 servings

Q. What is the recommended daily intake of fruits and vegetables for adults?

A. 1-2 servings
B. 3-5 servings
C. 5-7 servings
D. 7-10 servings

Solution

The recommended daily intake of fruits and vegetables for adults is 5-7 servings to ensure adequate nutrient intake.

Correct Answer: B — 3-5 servings

Q. What is the recommended daily intake of protein for an average adult? (2019)

A. 30 grams
B. 50 grams
C. 70 grams
D. 100 grams

Solution

The recommended daily intake of protein for an average adult is about 50 grams.

Correct Answer: B — 50 grams

Q. What is the relationship between corresponding angles when two parallel lines are cut by a transversal?

A. They are equal
B. They are supplementary
C. They are complementary
D. They are unequal

Solution

Corresponding angles are equal when two parallel lines are cut by a transversal.

Correct Answer: A — They are equal

Q. What is the relationship between the amplitude of a sound wave and its loudness?

A. Directly proportional
B. Inversely proportional
C. No relationship
D. Exponential relationship

Solution

The loudness of a sound is directly proportional to the amplitude of the sound wave.

Correct Answer: A — Directly proportional

Q. What is the relationship between the angles formed when two lines intersect? (2022)

A. They are all equal
B. They are supplementary
C. They are complementary
D. They are congruent

Solution

When two lines intersect, the angles formed are supplementary, meaning they add up to 180 degrees.

Correct Answer: B — They are supplementary

Q. What is the relationship between the angles of an equilateral triangle? (2023)

A. All angles are 60 degrees
B. All angles are 90 degrees
C. Two angles are equal
D. No angles are equal

Solution

In an equilateral triangle, all three angles are equal and measure 60 degrees each.

Correct Answer: A — All angles are 60 degrees

Q. What is the relationship between the corresponding angles when two parallel lines are cut by a transversal? (2022)

A. They are equal
B. They are supplementary
C. They are complementary
D. They are unequal

Solution

When two parallel lines are cut by a transversal, the corresponding angles are equal.

Correct Answer: A — They are equal

Q. What is the relationship between the diagonals of a rectangle? (2023)

A. They are equal
B. They are perpendicular
C. They bisect each other at right angles
D. They are unequal

Solution

In a rectangle, the diagonals are equal in length.

Correct Answer: A — They are equal

Q. What is the relationship between the exterior angle and the two opposite interior angles of a triangle? (2019)

A. They are equal
B. The exterior angle is greater
C. The exterior angle is less
D. They are complementary

Solution

The exterior angle of a triangle is equal to the sum of the two opposite interior angles.

Correct Answer: B — The exterior angle is greater

Q. What is the relationship between the sum of the interior angles and the exterior angles of a polygon?

A. Interior angles sum to 180 degrees
B. Exterior angles sum to 360 degrees
C. Both sum to 360 degrees
D. Interior angles sum to 360 degrees

Solution

The sum of the exterior angles of any polygon is always 360 degrees, regardless of the number of sides.

Correct Answer: B — Exterior angles sum to 360 degrees

Q. What is the relationship between the sum of the interior angles of a triangle and the angles formed by a transversal cutting through two parallel lines? (2022)

A. They are equal
B. They are supplementary
C. They are complementary
D. They are unrelated

Solution

The sum of the interior angles of a triangle is 180 degrees, and the angles formed by a transversal cutting through two parallel lines are supplementary, meaning they add up to 180 degrees.

Correct Answer: B — They are supplementary

Q. What is the resistance of a wire of length 2 m and cross-sectional area 1 mm² if the resistivity of the material is 1.7 x 10^-8 Ωm?

A. 0.034 Ω
B. 0.017 Ω
C. 0.068 Ω
D. 0.085 Ω

Solution

Resistance R = ρ * (L/A). Here, R = (1.7 x 10^-8 Ωm) * (2 m / (1 x 10^-6 m²)) = 0.034 Ω.

Correct Answer: A — 0.034 Ω

Q. What is the result of (2x + 3)(2x - 3)?

A. 4x² - 9
B. 4x² + 9
C. 4x² - 6
D. 6x² - 9

Solution

(2x + 3)(2x - 3) = 4x² - 9 by the difference of squares.

Correct Answer: A — 4x² - 9

Q. What is the result of (a - b)(a + b)?

A. a² + b²
B. a² - b²
C. 2ab
D. ab

Solution

(a - b)(a + b) = a² - b², which is the difference of squares.

Correct Answer: B — a² - b²

Q. What is the result of (x + 1)² - (x - 1)²?

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

Solution

(x + 1)² - (x - 1)² = [(x² + 2x + 1) - (x² - 2x + 1)] = 4x.

Correct Answer: B — 4

Q. What is the result of (x + y + z)²?

A. x² + y² + z² + 2(xy + xz + yz)
B. x² + y² + z²
C. x² + y² + z² + 3xyz
D. x² + y² + z² - 2(xy + xz + yz)

Solution

(x + y + z)² = x² + y² + z² + 2(xy + xz + yz) is the correct expansion.

Correct Answer: A — x² + y² + z² + 2(xy + xz + yz)

Q. What is the result of (x + y)(x - y)?

A. x² + y²
B. x² - y²
C. 2xy
D. xy

Solution

(x + y)(x - y) = x² - y², which is the difference of squares.

Correct Answer: B — x² - y²

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