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 it is 6:00 AM at 75°W, what time is it at 15°E?
A.
8:00 AM
B.
9:00 AM
C.
7:00 AM
D.
10:00 AM
Show solution
Solution
75°W to 15°E is 90° apart, which is 6 hours. So, 6:00 AM + 6 hours = 12:00 PM.
Correct Answer:
A
— 8:00 AM
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Q. If it is 6:00 AM in New York (75°W), what time is it in London (0° longitude)? (2022)
A.
11:00 AM
B.
12:00 PM
C.
1:00 PM
D.
2:00 PM
Show solution
Solution
New York is 5 hours behind London. Therefore, if it is 6:00 AM in New York, it is 6:00 AM + 5 hours = 11:00 AM in London.
Correct Answer:
B
— 12:00 PM
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Q. If it is 6:00 PM in New Delhi (77.1°E), what is the time in London (0° longitude)?
A.
1:30 PM
B.
12:30 PM
C.
2:30 PM
D.
3:30 PM
Show solution
Solution
New Delhi is 5 hours and 30 minutes ahead of GMT, so 6:00 PM - 5:30 = 12:30 PM.
Correct Answer:
B
— 12:30 PM
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Q. If it is 6:00 PM in New Delhi (77°E), what time is it in London (0°)?
A.
12:00 PM
B.
1:30 PM
C.
2:30 PM
D.
3:30 PM
Show solution
Solution
The time difference is 77° * 4 = 308 minutes or approximately 5 hours and 8 minutes. Therefore, 6:00 PM - 5 hours = 1:00 PM.
Correct Answer:
B
— 1:30 PM
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Q. If it is 8:00 AM in New York (75°W), what time is it in London (0°)? (2022)
A.
1:00 PM
B.
12:00 PM
C.
11:00 AM
D.
10:00 AM
Show solution
Solution
The time difference is 5 hours. Therefore, it is 8:00 AM + 5 hours = 1:00 PM in London.
Correct Answer:
A
— 1:00 PM
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Q. If it is 9:00 AM at 90°W, what is the time at 30°E?
A.
3:00 PM
B.
1:00 PM
C.
5:00 PM
D.
11:00 AM
Show solution
Solution
90°W to 0° is 6 hours ahead, and 0° to 30°E is 2 hours ahead, total = 8 hours ahead, so 9:00 AM + 8 hours = 5:00 PM.
Correct Answer:
A
— 3:00 PM
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Q. If it is noon at the Prime Meridian (0° longitude), what time is it at 90° East longitude? (2020)
A.
6 AM
B.
3 PM
C.
12 PM
D.
9 AM
Show solution
Solution
90° East is 90/15 = 6 hours ahead of the Prime Meridian. Therefore, if it is noon at the Prime Meridian, it is 6 PM at 90° East.
Correct Answer:
B
— 3 PM
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Q. If J = [[1, 1], [1, 1]], what is the rank of J?
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Solution
The rank of J is 1 because both rows are linearly dependent (they are identical).
Correct Answer:
B
— 1
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Q. If J = [[1, 2, 3], [4, 5, 6], [7, 8, 9]], what is det(J)?
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Solution
The determinant of J is 0, as the rows are linearly dependent.
Correct Answer:
A
— 0
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Q. If log_10(0.01) = x, what is the value of x?
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Solution
log_10(0.01) = log_10(10^-2) = -2, so x = -2.
Correct Answer:
B
— -2
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Q. If log_10(10^x) = 2, what is the value of x? (2023)
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Solution
log_10(10^x) = x. Therefore, x = 2.
Correct Answer:
B
— 2
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Q. If log_10(2) = 0.301, what is log_10(20)? (2023)
A.
0.301
B.
0.699
C.
1.301
D.
1.699
Show solution
Solution
log_10(20) = log_10(2) + log_10(10) = 0.301 + 1 = 1.301.
Correct Answer:
C
— 1.301
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Q. If log_2(8) + log_2(4) = x, what is the value of x?
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Solution
log_2(8) = 3 and log_2(4) = 2, thus x = 3 + 2 = 5.
Correct Answer:
B
— 5
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Q. If log_2(x) + log_2(4) = 6, what is the value of x?
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Solution
log_2(x) + 2 = 6 implies log_2(x) = 4, so x = 2^4 = 16.
Correct Answer:
C
— 32
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Q. If log_3(81) = x, what is the value of x?
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Solution
log_3(81) = log_3(3^4) = 4.
Correct Answer:
B
— 4
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Q. If log_3(x) = 4, what is the value of x?
A.
27
B.
81
C.
243
D.
729
Show solution
Solution
log_3(x) = 4 implies x = 3^4 = 81.
Correct Answer:
C
— 243
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Q. If log_4(16) = x, what is the value of x?
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Solution
log_4(16) = log_4(4^2) = 2.
Correct Answer:
B
— 2
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Q. If log_4(256) = x, what is the value of x? (2022)
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Solution
log_4(256) = log_4(4^4) = 4.
Correct Answer:
D
— 8
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Q. If log_a(1) = 0, what can be said about the value of a? (2019)
A.
a > 0
B.
a < 0
C.
a = 1
D.
a = 0
Show solution
Solution
log_a(1) = 0 is true for any base a > 0, except when a = 1.
Correct Answer:
C
— a = 1
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Q. If log_a(16) = 4, what is the value of a? (2021)
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Solution
log_a(16) = 4 implies a^4 = 16. Since 16 = 2^4, we have a^4 = 2^4, thus a = 2.
Correct Answer:
A
— 2
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Q. If log_a(3) = 0.5, what is the value of a? (2022)
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Solution
log_a(3) = 0.5 implies a^0.5 = 3, thus a = 3^2 = 9.
Correct Answer:
A
— 9
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Q. If log_a(64) = 6, what is the value of a?
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Solution
log_a(64) = 6 implies a^6 = 64. Since 64 = 2^6, we have a = 2.
Correct Answer:
C
— 8
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Q. If log_b(25) = 2, what is the value of b?
Show solution
Solution
log_b(25) = 2 implies b^2 = 25. Therefore, b = 5.
Correct Answer:
A
— 5
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Q. If log_x(64) = 6, what is the value of x? (2023)
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Solution
log_x(64) = 6 implies x^6 = 64. Since 64 = 2^6, we have x = 2.
Correct Answer:
C
— 8
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Q. If one root of the quadratic equation x^2 + px + q = 0 is 3, and the other root is -1, what is the value of p? (2021)
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Solution
The sum of the roots is 3 + (-1) = 2, hence p = -2.
Correct Answer:
A
— 2
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Q. If one root of the quadratic equation x^2 - 4x + k = 0 is 2, what is the value of k? (2021)
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Solution
Substituting x = 2 into the equation gives 2^2 - 4*2 + k = 0, which simplifies to k = 4.
Correct Answer:
C
— 4
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Q. If one root of the quadratic equation x^2 - 7x + k = 0 is 3, what is the value of k? (2023)
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Solution
Using the root 3 in the equation: 3^2 - 7*3 + k = 0, we get k = 6.
Correct Answer:
A
— 6
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Q. If sin 2A = 2 sin A cos A, what is the double angle formula for cosine?
A.
cos 2A = cos²A - sin²A
B.
cos 2A = 2 sin A cos A
C.
cos 2A = sin²A - cos²A
D.
cos 2A = 1 - 2 sin²A
Show solution
Solution
The double angle formula for cosine is cos 2A = cos²A - sin²A.
Correct Answer:
A
— cos 2A = cos²A - sin²A
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Q. If sin 2A = 2 sin A cos A, what is the value of sin 2A when sin A = 1/2?
Show solution
Solution
Using the double angle formula, sin 2A = 2(1/2)(√(1 - (1/2)²)) = 2(1/2)(√(3/4)) = 1.
Correct Answer:
B
— 1
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Q. If sin 2θ = 2 sin θ cos θ, what is the value of sin 2(30°)?
Show solution
Solution
sin 2(30°) = sin 60° = √3/2.
Correct Answer:
C
— √3/2
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