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 a 12 V battery is connected to a resistor of 4 ohms, what is the current flowing through the circuit?
A.
3 A
B.
4 A
C.
12 A
D.
0.33 A
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Solution
Using Ohm's Law (I = V/R), I = 12 V / 4 Ω = 3 A.
Correct Answer:
A
— 3 A
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Q. If a 2 kg object is lifted to a height of 3 m, what is the potential energy gained by the object? (Take g = 9.8 m/s²) (2020)
A.
58.8 J
B.
19.6 J
C.
29.4 J
D.
39.2 J
Show solution
Solution
Potential Energy (PE) = mgh = 2 kg × 9.8 m/s² × 3 m = 58.8 J.
Correct Answer:
A
— 58.8 J
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Q. If a 2 kg object is lifted to a height of 3 m, what is the potential energy gained by the object? (Use g = 9.8 m/s²)
A.
58.8 J
B.
19.6 J
C.
29.4 J
D.
39.2 J
Show solution
Solution
Potential Energy (PE) = mgh = 2 kg × 9.8 m/s² × 3 m = 58.8 J.
Correct Answer:
A
— 58.8 J
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Q. If a 2 kg object is lifted to a height of 3 m, what is the potential energy gained? (Use g = 9.8 m/s²) (2020)
A.
58.8 J
B.
19.6 J
C.
29.4 J
D.
39.2 J
Show solution
Solution
Potential Energy = mass × g × height = 2 kg × 9.8 m/s² × 3 m = 58.8 J
Correct Answer:
A
— 58.8 J
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Q. If a 2 kg object is lifted to a height of 3 m, what is the work done against gravity? (Use g = 9.8 m/s²) (2023)
A.
58.8 J
B.
39.2 J
C.
19.6 J
D.
29.4 J
Show solution
Solution
Work done = mgh = 2 kg × 9.8 m/s² × 3 m = 58.8 J.
Correct Answer:
A
— 58.8 J
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Q. If a 5 kg object is lifted to a height of 2 m, what is the potential energy gained by the object? (Use g = 9.8 m/s²) (2020)
A.
49 J
B.
98 J
C.
19.6 J
D.
39.2 J
Show solution
Solution
Potential Energy = mgh = 5 kg × 9.8 m/s² × 2 m = 98 J
Correct Answer:
B
— 98 J
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Q. If a = 1 and b = 2, what is the value of a³ + b³?
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Solution
a³ + b³ = 1³ + 2³ = 1 + 8 = 9.
Correct Answer:
C
— 9
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Q. If a = 1 and b = 4, what is the value of a³ + b³?
A.
65
B.
65
C.
125
D.
125
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Solution
a³ + b³ = 1³ + 4³ = 1 + 64 = 65.
Correct Answer:
A
— 65
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Q. If A = 1i + 1j + 1k and B = 1i + 1j + 1k, what is A · B?
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Solution
A · B = (1)(1) + (1)(1) + (1)(1) = 1 + 1 + 1 = 3.
Correct Answer:
C
— 3
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Q. If A = 1i + 1j + 1k and B = 1i + 2j + 3k, find A · B.
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Solution
A · B = (1)(1) + (1)(2) + (1)(3) = 1 + 2 + 3 = 6.
Correct Answer:
A
— 6
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Q. If A = 1i + 1j + 1k and B = 1i + 2j + 3k, what is A · B?
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Solution
A · B = (1)(1) + (1)(2) + (1)(3) = 1 + 2 + 3 = 6.
Correct Answer:
B
— 5
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Q. If A = 1i + 1j + 1k and B = 2i + 2j + 2k, find A · B.
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Solution
A · B = (1)(2) + (1)(2) + (1)(2) = 2 + 2 + 2 = 6.
Correct Answer:
A
— 6
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Q. If A = 1i + 1j and B = 1i - 1j, what is the scalar product A · B?
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Solution
A · B = (1)(1) + (1)(-1) = 1 - 1 = 0.
Correct Answer:
A
— 0
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Q. If A = 1i + 2j + 3k and B = 4i + 5j + 6k, what is A · B?
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Solution
A · B = (1)(4) + (2)(5) + (3)(6) = 4 + 10 + 18 = 32.
Correct Answer:
B
— 26
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Q. If a = 2 and b = 3, what is the value of (a + b)² - (a² + b²)?
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Solution
(a + b)² = (2 + 3)² = 25; a² + b² = 2² + 3² = 4 + 9 = 13; thus, 25 - 13 = 12.
Correct Answer:
C
— 4
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Q. If a = 2 and b = 3, what is the value of (a + b)²?
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Solution
(a + b)² = (2 + 3)² = 5² = 25.
Correct Answer:
A
— 25
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Q. If a = 2 and b = 3, what is the value of a^2 + b^2?
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Solution
a^2 = 4 and b^2 = 9, so 4 + 9 = 13.
Correct Answer:
C
— 13
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Q. If a = 2 and b = 5, what is the value of (a + b)²?
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Solution
(a + b)² = (2 + 5)² = 7² = 49.
Correct Answer:
A
— 49
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Q. If a = 2 and b = 5, what is the value of a² + 2ab + b²?
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Solution
a² + 2ab + b² = 2² + 2*2*5 + 5² = 4 + 20 + 25 = 49.
Correct Answer:
A
— 49
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Q. If A = 2i + 2j and B = 2i + 3j, find A · B.
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Solution
A · B = (2)(2) + (2)(3) = 4 + 6 = 10.
Correct Answer:
A
— 10
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Q. If A = 2i + 2j and B = 2i - 2j, find A · B. (2021)
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Solution
A · B = (2)(2) + (2)(-2) = 4 - 4 = 0.
Correct Answer:
B
— 4
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Q. If A = 2i + 2j and B = 2i - 2j, what is the scalar product A · B?
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Solution
A · B = (2)(2) + (2)(-2) = 4 - 4 = 0.
Correct Answer:
C
— 4
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Q. If A = 2i + 2j and B = 3i + 3j, what is the angle between A and B?
A.
0°
B.
45°
C.
90°
D.
60°
Show solution
Solution
A · B = 2*3 + 2*3 = 12. |A| = √(2^2 + 2^2) = 2√2, |B| = √(3^2 + 3^2) = 3√2. cos(θ) = 12 / (2√2 * 3√2) = 1, θ = 0°.
Correct Answer:
A
— 0°
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Q. If A = 2i + 2j and B = 3i + 3j, what is the scalar product A · B?
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Solution
A · B = (2)(3) + (2)(3) = 6 + 6 = 12.
Correct Answer:
A
— 12
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Q. If A = 2i + 2j and B = 3i + 4j, what is the angle between A and B?
A.
45 degrees
B.
60 degrees
C.
30 degrees
D.
90 degrees
Show solution
Solution
cos(θ) = (A · B) / (|A||B|) = (2*3 + 2*4) / (√(2^2 + 2^2) * √(3^2 + 4^2)) = 0.5, θ = 60 degrees.
Correct Answer:
B
— 60 degrees
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Q. If A = 2i + 3j + k and B = i - 2j + 4k, find the scalar product A · B.
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Solution
A · B = (2)(1) + (3)(-2) + (1)(4) = 2 - 6 + 4 = 0.
Correct Answer:
B
— 12
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Q. If A = 2i + 3j and B = 3i + 4j, find the angle between A and B.
A.
45 degrees
B.
60 degrees
C.
30 degrees
D.
90 degrees
Show solution
Solution
cos(θ) = (A · B) / (|A||B|) = (2*3 + 3*4) / (√(2^2 + 3^2) * √(3^2 + 4^2)) = 18 / (√13 * 5) = 0.6, θ = 60 degrees.
Correct Answer:
B
— 60 degrees
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Q. If A = 2i + 3j and B = 3i + 4j, what is the scalar product A · B?
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Solution
A · B = (2)(3) + (3)(4) = 6 + 12 = 18.
Correct Answer:
A
— 18
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Q. If A = 2i + 3j and B = 4i + 0j, what is the value of A · B? (2022)
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Solution
A · B = (2)(4) + (3)(0) = 8 + 0 = 8
Correct Answer:
B
— 8
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Q. If A = 2i + 3j and B = 4i + 5j, find the angle θ between A and B if A · B = |A||B|cos(θ).
A.
0°
B.
45°
C.
60°
D.
90°
Show solution
Solution
A · B = 2*4 + 3*5 = 8 + 15 = 23. |A| = √(2^2 + 3^2) = √13, |B| = √(4^2 + 5^2) = √41. cos(θ) = 23 / (√13 * √41).
Correct Answer:
C
— 60°
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