Defence Exams Preparation Resources | Soulshift

My Learning Cart

Defence Exams

Download Q&A

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 value of 7^2? (2020)

A. 49
B. 56
C. 64
D. 72

Solution

7^2 = 7 × 7 = 49.

Correct Answer: A — 49

Q. What is the value of 9 squared?

A. 18
B. 27
C. 81
D. 72

Solution

9 squared (9^2) = 9 * 9 = 81.

Correct Answer: C — 81

Q. What is the value of cot 60°?

A. 1/√3
B. √3
C. 1
D. 0

Solution

Cotangent is the reciprocal of tangent. Since tan 60° = √3, cot 60° = 1/√3.

Correct Answer: A — 1/√3

Q. What is the value of csc 30°?

A. 2
B. 1/2
C. √3
D. 1

Solution

Cosecant is the reciprocal of sine. Since sin 30° = 1/2, csc 30° = 1 / (1/2) = 2.

Correct Answer: A — 2

Q. What is the value of k for which the equation x^2 + 2kx + 16 = 0 has real roots? (2021)

A. 4
B. 8
C. 2
D. 6

Solution

The discriminant must be non-negative: (2k)^2 - 4(1)(16) ≥ 0. This gives 4k^2 - 64 ≥ 0, leading to k^2 ≥ 16, so k ≥ 4.

Correct Answer: B — 8

Q. What is the value of k for which the equation x^2 + kx + 16 = 0 has no real roots? (2021)

A. -8
B. -4
C. 4
D. 8

Solution

The discriminant must be less than zero. Thus, k^2 - 4*1*16 < 0 leads to k^2 < 64, giving k < 8 and k > -8.

Correct Answer: A — -8

Q. What is the value of k if the equation x^2 + kx + 16 = 0 has roots that are equal?

A. 8
B. 16
C. 4
D. 0

Solution

For the roots to be equal, the discriminant must be zero. Thus, k^2 - 4*1*16 = 0, which gives k^2 = 64, so k = ±8.

Correct Answer: A — 8

Q. What is the value of k if the equation x^2 + kx + 4 = 0 has equal roots? (2022)

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

Solution

For equal roots, the discriminant must be zero. Thus, k^2 - 4*1*4 = 0, which gives k^2 = 16, so k = ±4.

Correct Answer: A — 4

Q. What is the value of k if the equation x^2 + kx + 9 = 0 has roots that are both negative?

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

Solution

For both roots to be negative, k must be negative and greater than the square root of the discriminant. Thus, k < -6.

Correct Answer: A — -6

Q. What is the value of k if the equation x^2 - kx + 9 = 0 has roots 3 and 3?

A. 6
B. 9
C. 3
D. 12

Solution

The sum of the roots is 3 + 3 = 6, so k = 6.

Correct Answer: A — 6

Q. What is the value of k if the equation x^2 - kx + 9 = 0 has roots that are 3 and 3?

A. 6
B. 9
C. 3
D. 12

Solution

The sum of the roots is 3 + 3 = 6, so k = 6.

Correct Answer: A — 6

Q. What is the value of k if the equation x^2 - kx + 9 = 0 has roots that are both positive?

A. 6
B. 8
C. 10
D. 12

Solution

For both roots to be positive, k must be greater than 6 (sum of roots) and k^2 - 36 > 0 (discriminant). Thus, k > 6 and k < 12.

Correct Answer: C — 10

Q. What is the value of k if the quadratic equation x^2 + kx + 16 = 0 has roots that are both real and distinct? (2019)

A. -8
B. -7
C. -6
D. -5

Solution

For real and distinct roots, the discriminant must be positive: k^2 - 4(1)(16) > 0. Thus, k^2 > 64, leading to k < -8 or k > 8.

Correct Answer: D — -5

Q. What is the value of k if the quadratic equation x^2 + kx + 16 = 0 has roots that are real and distinct? (2019)

A. -8
B. -4
C. 4
D. 8

Solution

For real and distinct roots, the discriminant must be positive: k^2 - 4(1)(16) > 0. Thus, k^2 > 64, leading to k < -8 or k > 8.

Correct Answer: B — -4

Q. What is the value of k if the quadratic equation x^2 + kx + 16 = 0 has roots that are both negative? (2019)

A. -8
B. -7
C. -6
D. -5

Solution

For both roots to be negative, k must be negative and |k| > 8. Thus, k = -8.

Correct Answer: A — -8

Q. What is the value of k if the quadratic equation x^2 + kx + 9 = 0 has roots 3 and -3? (2022)

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

Solution

Using Vieta's formulas, the sum of the roots is 0, so k = -0 = 0. The product of the roots is 9, confirming k = 6.

Correct Answer: B — 6

Q. What is the value of k if the quadratic equation x^2 + kx + 9 = 0 has roots that are both positive? (2023)

A. -6
B. -4
C. -2
D. 0

Solution

For both roots to be positive, k must be negative and k^2 > 36. Thus, k < -6.

Correct Answer: A — -6

Q. What is the value of k if the quadratic equation x^2 + kx + 9 = 0 has roots that are both negative? (2023)

A. -6
B. -4
C. -2
D. 0

Solution

For both roots to be negative, k must be positive and k^2 > 4(1)(9). Thus, k > 6.

Correct Answer: A — -6

Q. What is the value of k if the roots of the equation x^2 + kx + 4 = 0 are -2 and -2?

A. 4
B. 8
C. 6
D. 0

Solution

The sum of the roots is -2 + -2 = -4, so k = 4.

Correct Answer: C — 6

Q. What is the value of k if the roots of the equation x^2 + kx + 9 = 0 are imaginary?

A. k < 0
B. k > 0
C. k = 0
D. k ≤ 0

Solution

The discriminant must be less than zero: k^2 - 4*1*9 < 0 leads to k^2 < 36, hence k < 0 or k > 0.

Correct Answer: A — k < 0

Q. What is the value of k if the roots of the equation x^2 - 5x + k = 0 are equal? (2020)

A. 6.25
B. 5
C. 4
D. 3

Solution

For the roots to be equal, the discriminant must be zero. Thus, (-5)^2 - 4(1)(k) = 0. Solving gives k = 6.25.

Correct Answer: A — 6.25

Q. What is the value of k if the roots of the equation x^2 - kx + 16 = 0 are real and distinct?

A. 8
B. 10
C. 12
D. 14

Solution

For the roots to be real and distinct, the discriminant must be positive: k^2 - 64 > 0, leading to k > 8 or k < -8.

Correct Answer: C — 12

Q. What is the value of k if the roots of the equation x^2 - kx + 8 = 0 are 2 and 4? (2023)

A. 6
B. 8
C. 10
D. 12

Solution

The sum of the roots is 2 + 4 = 6, so k = 6.

Correct Answer: A — 6

Q. What is the value of k if the roots of the equation x^2 - kx + 9 = 0 are 3 and 3?

A. 6
B. 9
C. 3
D. 12

Solution

The sum of the roots is 3 + 3 = 6, so k = 6.

Correct Answer: A — 6

Q. What is the value of k if the roots of the equation x^2 - kx + 9 = 0 are real and distinct?

A. k > 18
B. k < 18
C. k = 18
D. k = 9

Solution

For the roots to be real and distinct, the discriminant must be greater than zero: k^2 - 4(1)(9) > 0, which simplifies to k^2 > 36, hence k < -6 or k > 6.

Correct Answer: B — k < 18

Q. What is the value of log_10(0.01)?

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

Solution

log_10(0.01) = log_10(10^-2) = -2.

Correct Answer: B — -2

Q. What is the value of log_2(1/8)? (2023)

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

Solution

log_2(1/8) = log_2(2^-3) = -3.

Correct Answer: A — -3

Q. What is the value of log_4(16)?

A. 1
B. 2
C. 3
D. 4

Solution

log_4(16) = log_4(4^2) = 2.

Correct Answer: B — 2

Q. What is the value of log_5(1)?

A. 0
B. 1
C. 5
D. undefined

Solution

log_5(1) = 0 because 5^0 = 1.

Correct Answer: A — 0

Q. What is the value of log_5(25) + log_5(4)? (2021)

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

Solution

log_5(25) = 2, so log_5(25) + log_5(4) = 2 + log_5(4).

Correct Answer: C — 4

Showing 3211 to 3240 of 3872 (130 Pages)

School

College

Degree

Competitve

Skills

Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely