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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. The quadratic equation x^2 + 6x + k = 0 has no real roots. What is the condition on k? (2020)

A. k < 9
B. k > 9
C. k = 9
D. k ≤ 9

Solution

For no real roots, the discriminant must be less than zero: 6^2 - 4*1*k < 0, which gives k > 9.

Correct Answer: B — k > 9

Q. The quadratic equation x^2 + 6x + k = 0 has roots that are both negative. What is the condition for k? (2020)

A. k > 9
B. k < 9
C. k = 9
D. k = 0

Solution

For both roots to be negative, k must be greater than the square of half the coefficient of x, hence k > 9.

Correct Answer: A — k > 9

Q. The quadratic equation x^2 - 4x + 4 = 0 can be expressed in which of the following forms? (2022)

A. (x - 2)^2
B. (x + 2)^2
C. (x - 4)^2
D. (x + 4)^2

Solution

The equation can be factored as (x - 2)(x - 2) = 0, which is (x - 2)^2.

Correct Answer: A — (x - 2)^2

Q. The quadratic equation x^2 - 6x + 9 = 0 can be expressed as which of the following? (2021)

A. (x - 3)^2 = 0
B. (x + 3)^2 = 0
C. (x - 2)(x - 4) = 0
D. (x + 2)(x + 4) = 0

Solution

The equation can be factored as (x - 3)(x - 3) = 0, or (x - 3)^2 = 0.

Correct Answer: A — (x - 3)^2 = 0

Q. The quadratic equation x^2 - 6x + 9 = 0 can be expressed in the form (x - a)^2 = 0. What is the value of a? (2021)

A. 3
B. 6
C. 9
D. 0

Solution

The equation can be factored as (x - 3)^2 = 0, hence a = 3.

Correct Answer: A — 3

Q. The radius of a circle is increased by 50%. What is the percentage increase in the area of the circle? (2020)

A. 50%
B. 75%
C. 100%
D. 125%

Solution

If r is the original radius, new radius = 1.5r. Area increases from πr² to π(1.5r)² = 2.25πr². Percentage increase = (2.25 - 1) × 100% = 125%.

Correct Answer: C — 100%

Q. The Rajya Sabha has a total of 245 members. If 12 members are nominated, what is the maximum number of elected members?

A. 233
B. 245
C. 233
D. 240

Solution

Maximum elected members = 245 - 12 = 233

Correct Answer: A — 233

Q. The Rajya Sabha has a total of 250 members. If 12 members are nominated, what percentage of the total members are elected?

A. 80%
B. 85%
C. 90%
D. 88%

Solution

Elected members = 250 - 12 = 238. Percentage = (238/250) * 100 = 95.2%.

Correct Answer: C — 90%

Q. The ratio of the ages of A and B is 3:4. If A is 12 years old, how old is B? (2022)

A. 16 years
B. 18 years
C. 20 years
D. 24 years

Solution

If A's age is 12, then B's age = (4/3) * 12 = 16 years.

Correct Answer: A — 16 years

Q. The ratio of the ages of A and B is 4:5. If A is 20 years old, how old is B? (2019)

A. 25
B. 30
C. 35
D. 40

Solution

Let the age of B be 5x. Since A's age is 4x = 20, x = 5. Therefore, B's age = 5 * 5 = 25.

Correct Answer: A — 25

Q. The ratio of the ages of A and B is 4:5. If A is 20 years old, what is B's age? (2019)

A. 25
B. 30
C. 35
D. 40

Solution

Let B's age be 5x. Since A's age is 4x = 20, x = 5. Therefore, B's age = 5 * 5 = 25.

Correct Answer: A — 25

Q. The ratio of the ages of two friends is 3:4. If the sum of their ages is 56 years, what is the age of the older friend? (2019)

A. 32
B. 28
C. 24
D. 36

Solution

Let the ages be 3x and 4x. Then, 3x + 4x = 56 => 7x = 56 => x = 8. Older friend's age = 4x = 32.

Correct Answer: A — 32

Q. The Right against Exploitation includes which of the following? (2023)

A. Prohibition of human trafficking
B. Prohibition of forced labor
C. Prohibition of child labor
D. All of the above

Solution

The Right against Exploitation includes all these prohibitions as per Articles 23 and 24.

Correct Answer: D — All of the above

Q. The Right to Constitutional Remedies is enshrined in which article? (2020)

A. Article 32
B. Article 21
C. Article 19
D. Article 14

Solution

The Right to Constitutional Remedies is enshrined in Article 32.

Correct Answer: A — Article 32

Q. The right to constitutional remedies is provided under which article?

A. Article 32
B. Article 21
C. Article 19
D. Article 14

Solution

Article 32 of the Indian Constitution provides the right to constitutional remedies, allowing individuals to approach the Supreme Court for enforcement of their Fundamental Rights.

Correct Answer: A — Article 32

Q. The Right to Education is a Fundamental Right under which Article?

A. Article 21A
B. Article 19
C. Article 45
D. Article 30

Solution

The Right to Education is a Fundamental Right under Article 21A, which mandates free and compulsory education for children aged 6 to 14.

Correct Answer: A — Article 21A

Q. The Right to Education was made a Fundamental Right under which Article?

A. Article 21A
B. Article 19
C. Article 45
D. Article 30

Solution

The Right to Education was made a Fundamental Right under Article 21A of the Constitution.

Correct Answer: A — Article 21A

Q. The Right to Freedom of Religion is guaranteed under which Article? (2021)

A. Article 25
B. Article 26
C. Article 27
D. All of the above

Solution

Articles 25, 26, and 27 collectively guarantee the Right to Freedom of Religion.

Correct Answer: D — All of the above

Q. The Right to Freedom of Speech and Expression is enshrined in which article?

A. Article 19(1)(a)
B. Article 21
C. Article 14
D. Article 32

Solution

The Right to Freedom of Speech and Expression is guaranteed under Article 19(1)(a) of the Indian Constitution.

Correct Answer: A — Article 19(1)(a)

Q. The Right to Life and Personal Liberty is guaranteed under which Article?

A. Article 19
B. Article 20
C. Article 21
D. Article 22

Solution

The Right to Life and Personal Liberty is guaranteed under Article 21 of the Indian Constitution.

Correct Answer: C — Article 21

Q. The right to privacy was recognized as a Fundamental Right under which article? (2017)

A. Article 21
B. Article 19
C. Article 14
D. Article 32

Solution

The Supreme Court of India recognized the right to privacy as a Fundamental Right under Article 21 in the landmark judgment of Justice K.S. Puttaswamy v. Union of India in 2017.

Correct Answer: A — Article 21

Q. The roots of the equation 4x^2 - 12x + 9 = 0 are: (2019)

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

Solution

The equation can be factored as (2x - 3)(2x - 3) = 0, hence the roots are 3 and 3.

Correct Answer: B — 3 and 3

Q. The roots of the equation x^2 + 2x + k = 0 are -1 and -3. What is the value of k?

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

Solution

The sum of the roots is -1 + (-3) = -4, so -2 = -4, which is correct. The product of the roots is (-1)(-3) = 3, so k = 3.

Correct Answer: B — 3

Q. The roots of the equation x^2 + 3x + k = 0 are -1 and -2. What is the value of k? (2021)

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

Solution

The sum of the roots is -1 + (-2) = -3, and the product is (-1)(-2) = 2. Thus, k = 2.

Correct Answer: A — 2

Q. The roots of the equation x^2 + 4x + k = 0 are equal. What is the value of k?

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

Solution

For the roots to be equal, the discriminant must be zero. Thus, 4^2 - 4*1*k = 0 => 16 - 4k = 0 => k = 4.

Correct Answer: B — 8

Q. The roots of the equation x^2 - 10x + 21 = 0 are: (2020)

A. 3 and 7
B. 4 and 6
C. 5 and 5
D. 2 and 8

Solution

Factoring gives (x - 3)(x - 7) = 0, so the roots are 3 and 7.

Correct Answer: A — 3 and 7

Q. The roots of the equation x^2 - 2x + k = 0 are real and distinct if k is:

A. < 1
B. ≥ 1
C. ≤ 1
D. > 1

Solution

The discriminant must be greater than zero: (-2)^2 - 4*1*k > 0, which simplifies to k < 1.

Correct Answer: A — < 1

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

A. 6.25
B. 5
C. 4
D. 0

Solution

For the roots to be equal, the discriminant must be zero. Thus, (-5)^2 - 4*1*k = 0 leads to 25 - 4k = 0, giving k = 6.25.

Correct Answer: A — 6.25

Q. The roots of the quadratic equation x^2 - 4x + k = 0 are 2 and 2. What is the value of k? (2022)

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

Solution

If the roots are both 2, then k = 2^2 - 4*2 = 4 - 8 = -4. Thus, k = 4.

Correct Answer: C — 4

Q. The scalar product of two unit vectors is 0. What can be inferred about these vectors?

A. They are parallel
B. They are orthogonal
C. They are collinear
D. They are equal

Solution

If the scalar product is 0, the vectors are orthogonal.

Correct Answer: B — They are orthogonal

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