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.
Q. If f(x) = x^4 - 4x^3, find f'(2). (2023)
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Solution
f'(x) = 4x^3 - 12x^2; thus, f'(2) = 4(2^3) - 12(2^2) = 32 - 48 = -16.
Correct Answer:
C
— 16
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Q. If f(x) = x^4 - 4x^3, what is f'(2)? (2019)
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Solution
f'(x) = 4x^3 - 12x^2. f'(2) = 4(2^3) - 12(2^2) = 32 - 48 = -16.
Correct Answer:
B
— 8
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Q. If f(x) = x^4 - 8x^2 + 16, what is the minimum value of f(x)? (2023)
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Solution
Finding the derivative f'(x) = 4x^3 - 16x. Setting it to zero gives x = 0, ±2. The minimum value occurs at x = 2, f(2) = 0.
Correct Answer:
A
— 0
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Q. If G = [[2, 3], [5, 7]], find the eigenvalues of G.
A.
1, 8
B.
2, 7
C.
3, 5
D.
4, 6
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Solution
The eigenvalues are found by solving the characteristic equation det(G - λI) = 0. The eigenvalues are λ = 1, 8.
Correct Answer:
A
— 1, 8
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Q. If H = [[0, 1], [-1, 0]], what is the determinant of H? (2019)
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Solution
The determinant of H is calculated as (0*-0) - (1*-1) = 0 + 1 = 1.
Correct Answer:
C
— -1
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Q. If H = [[1, 2, 3], [0, 1, 4], [5, 6, 0]], find the determinant of H. (2022)
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Solution
Using the determinant formula for 3x3 matrices, det(H) = 1(1*0 - 4*6) - 2(0 - 4*5) + 3(0 - 1*5) = 0 - 40 - 15 = -55.
Correct Answer:
A
— -24
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Q. If H = [[1, 2], [2, 4]], what is the rank of H?
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Solution
The rank of H is 1 because the second row is a multiple of the first row.
Correct Answer:
A
— 1
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Q. If H = [[2, 3], [5, 7]], find the eigenvalues of H. (2023)
A.
1, 8
B.
2, 7
C.
3, 5
D.
4, 5
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Solution
The eigenvalues are found by solving the characteristic equation: det(H - λI) = 0, which gives λ^2 - 9λ + 1 = 0.
Correct Answer:
A
— 1, 8
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Q. If h(x) = e^(2x), what is h'(x)? (2019)
A.
2e^(2x)
B.
e^(2x)
C.
2xe^(2x)
D.
e^(x)
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Solution
Using the chain rule, h'(x) = 2e^(2x).
Correct Answer:
A
— 2e^(2x)
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Q. If I = [[1, 1], [1, 1]], what is the rank of I? (2022)
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Solution
The rank of I is 1 because all rows are linearly dependent.
Correct Answer:
B
— 1
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Q. If I = [[1, 2, 3], [0, 1, 4], [5, 6, 0]], find the determinant of I.
Show solution
Solution
Using the determinant formula for 3x3 matrices, det(I) = 1(1*0 - 4*6) - 2(0 - 4*5) + 3(0 - 1*5) = 0 - 40 - 15 = -55.
Correct Answer:
A
— -24
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Q. If I = [[2, 1], [1, 2]], what is the trace of I?
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Solution
The trace of a matrix is the sum of its diagonal elements. Thus, trace(I) = 2 + 2 = 4.
Correct Answer:
C
— 3
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Q. If it is 10:00 AM at 90°W, what is the time at 60°E?
A.
1:00 PM
B.
2:00 PM
C.
3:00 PM
D.
4:00 PM
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Solution
The total difference is 90° + 60° = 150°. Therefore, the time difference is 150° / 15° = 10 hours. So, it is 10:00 AM + 10 hours = 8:00 PM.
Correct Answer:
C
— 3:00 PM
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Q. If it is 10:00 AM at 90°W, what time is it at 30°E?
A.
2:00 PM
B.
3:00 PM
C.
4:00 PM
D.
5:00 PM
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Solution
The total distance is 90° + 30° = 120°. The time difference is 120° * 4 minutes = 480 minutes = 8 hours. Therefore, 10:00 AM + 8 hours = 6:00 PM.
Correct Answer:
C
— 4:00 PM
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Q. If it is 12:00 noon at the Prime Meridian (0 degrees longitude), what time is it at 45 degrees East longitude? (2020)
A.
6:00 AM
B.
12:00 PM
C.
6:00 PM
D.
3:00 PM
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Solution
At 45 degrees East, it is 45/15 = 3 hours ahead. Therefore, it is 12:00 PM + 3 hours = 3:00 PM.
Correct Answer:
C
— 6:00 PM
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Q. If it is 12:00 noon at the Prime Meridian (0° longitude), what time is it at 120°E longitude? (2020)
A.
4:00 PM
B.
6:00 PM
C.
8:00 PM
D.
10:00 PM
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Solution
At 120°E, the time is 120° / 15° = 8 hours ahead of GMT. Therefore, it is 12:00 noon + 8 hours = 8:00 PM.
Correct Answer:
C
— 8:00 PM
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Q. If it is 12:00 noon at the Prime Meridian (0° longitude), what time is it at 45°E longitude?
A.
2:30 PM
B.
3:00 PM
C.
12:30 PM
D.
1:00 PM
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Solution
Each degree of longitude represents 4 minutes of time. Therefore, at 45°E, it is 45 * 4 = 180 minutes or 3 hours ahead, making it 3:00 PM.
Correct Answer:
B
— 3:00 PM
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Q. If it is 12:00 noon at the Prime Meridian (0° longitude), what time is it at 75°W longitude?
A.
6:00 AM
B.
7:00 AM
C.
8:00 AM
D.
9:00 AM
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Solution
Each degree of longitude represents 4 minutes of time. 75°W = 75 * 4 = 300 minutes = 5 hours. Therefore, it is 12:00 noon - 5 hours = 7:00 AM.
Correct Answer:
C
— 8:00 AM
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Q. If it is 12:00 noon at the Prime Meridian (0° longitude), what time is it at 90° East longitude? (2020)
A.
6:00 AM
B.
12:00 PM
C.
6:00 PM
D.
12:00 AM
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Solution
90° East is 6 hours ahead of the Prime Meridian (90/15 = 6), so it is 6:00 PM.
Correct Answer:
C
— 6:00 PM
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Q. If it is 3 PM in New York (75° W), what time is it in London (0° longitude)? (2020)
A.
12 PM
B.
6 PM
C.
8 PM
D.
9 PM
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Solution
New York is 75° W, which is 75/15 = 5 hours behind London. Therefore, 3 PM + 5 hours = 8 PM in London.
Correct Answer:
B
— 6 PM
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Q. If it is 3:00 PM at 90°W, what is the time at 60°E?
A.
1:00 AM
B.
1:00 PM
C.
9:00 PM
D.
9:00 AM
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Solution
The difference is 90° + 60° = 150°, which is 10 hours ahead. So, 3:00 PM + 10 hours = 1:00 AM.
Correct Answer:
C
— 9:00 PM
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Q. If it is 3:00 PM in New Delhi (77 degrees East), what time is it in London (0 degrees)?
A.
8:30 AM
B.
9:30 AM
C.
10:30 AM
D.
11:30 AM
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Solution
New Delhi is 77/15 = 5.13 hours ahead of GMT. Therefore, 3:00 PM - 5.13 hours = 9:30 AM.
Correct Answer:
B
— 9:30 AM
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Q. If it is 3:00 PM in New Delhi (77.1°E), what time is it in London (0° longitude)?
A.
9:30 AM
B.
8:30 AM
C.
10:30 AM
D.
7:30 AM
Show solution
Solution
New Delhi is 77.1°E, which is 77.1 * 4 = 308.4 minutes ahead of UTC. Therefore, it is 3:00 PM - 5 hours and 8 minutes = 9:30 AM in London.
Correct Answer:
B
— 8:30 AM
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Q. If it is 3:00 PM in New Delhi (77.2°E), what time is it in London (0° longitude)?
A.
8:30 AM
B.
9:30 AM
C.
10:30 AM
D.
11:30 AM
Show solution
Solution
New Delhi is 77.2°E, which is 77.2 * 4 minutes = 308.8 minutes ahead of GMT. Therefore, 3:00 PM - 5 hours and 8.8 minutes = 9:30 AM in London.
Correct Answer:
B
— 9:30 AM
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Q. If it is 3:00 PM in New Delhi (77°E), what time is it in London (0° longitude)?
A.
8:30 AM
B.
9:30 AM
C.
10:30 AM
D.
11:30 AM
Show solution
Solution
New Delhi is 77°E, which is 77 * 4 = 308 minutes = 5 hours and 8 minutes ahead of GMT. Therefore, 3:00 PM - 5:08 = 9:30 AM.
Correct Answer:
B
— 9:30 AM
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Q. If it is 3:00 PM in New Delhi (77°E), what time is it in London (0°)?
A.
8:00 AM
B.
9:00 AM
C.
10:00 AM
D.
11:00 AM
Show solution
Solution
New Delhi is 77°E, which is 77/15 = 5.13 hours ahead. Therefore, 3:00 PM - 5 hours = 10:00 AM in London.
Correct Answer:
A
— 8:00 AM
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Q. If it is 3:00 PM in New York (75°W), what time is it in London (0° longitude)?
A.
8:00 PM
B.
6:00 PM
C.
5:00 PM
D.
4:00 PM
Show solution
Solution
New York is 5 hours behind London. Therefore, 3:00 PM + 5 hours = 8:00 PM in London.
Correct Answer:
B
— 6:00 PM
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Q. If it is 3:00 PM in New York (GMT-5), what time is it in London (GMT+0)? (2022)
A.
8:00 AM
B.
10:00 AM
C.
12:00 PM
D.
3:00 PM
Show solution
Solution
New York is 5 hours behind London, so 3:00 PM + 5 hours = 8:00 PM in London.
Correct Answer:
B
— 10:00 AM
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Q. If it is 6:00 AM at 30° East longitude, what time is it at 120° West longitude? (2022)
A.
10:00 PM
B.
12:00 AM
C.
2:00 AM
D.
4:00 AM
Show solution
Solution
The time difference is 30 + 120 = 150 degrees. 150/15 = 10 hours. So, 6:00 AM - 10 hours = 8:00 PM previous day.
Correct Answer:
A
— 10:00 PM
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Q. If it is 6:00 AM at 45°E longitude, what is the time at 135°E longitude?
A.
8:00 AM
B.
9:00 AM
C.
10:00 AM
D.
11:00 AM
Show solution
Solution
135°E is 135/15 = 9 hours ahead. Therefore, 6:00 AM + 9 hours = 3:00 PM.
Correct Answer:
C
— 10:00 AM
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