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. What is the capital city of Australia? (2021)
A.
Sydney
B.
Canberra
C.
Melbourne
D.
Brisbane
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Solution
The capital city of Australia is Canberra.
Correct Answer:
B
— Canberra
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Q. What is the capital city of the Indian state of Maharashtra?
A.
Mumbai
B.
Pune
C.
Nagpur
D.
Nashik
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Solution
Mumbai is the capital city of the Indian state of Maharashtra.
Correct Answer:
A
— Mumbai
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Q. What is the capital of India?
A.
Mumbai
B.
New Delhi
C.
Kolkata
D.
Chennai
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Solution
The capital of India is New Delhi.
Correct Answer:
B
— New Delhi
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Q. What is the capital of the Indian state of Kerala?
A.
Kochi
B.
Thiruvananthapuram
C.
Kozhikode
D.
Kottayam
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Solution
The capital of Kerala is Thiruvananthapuram.
Correct Answer:
B
— Thiruvananthapuram
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Q. What is the capital of the Indian state of Maharashtra?
A.
Mumbai
B.
Pune
C.
Nagpur
D.
Nashik
Show solution
Solution
Mumbai is the capital of the Indian state of Maharashtra.
Correct Answer:
A
— Mumbai
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Q. What is the capital of the Indian state of Tamil Nadu?
A.
Chennai
B.
Coimbatore
C.
Madurai
D.
Tiruchirappalli
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Solution
Chennai is the capital of the Indian state of Tamil Nadu.
Correct Answer:
A
— Chennai
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Q. What is the change in internal energy of a gas that absorbs 500 J of heat and does 200 J of work? (2022)
A.
300 J
B.
500 J
C.
700 J
D.
1000 J
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Solution
Using the first law of thermodynamics: ΔU = Q - W = 500 J - 200 J = 300 J.
Correct Answer:
A
— 300 J
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Q. What is the change in internal energy of a gas that absorbs 500 J of heat and does 200 J of work on the surroundings? (2023)
A.
300 J
B.
500 J
C.
700 J
D.
900 J
Show solution
Solution
ΔU = Q - W = 500 J - 200 J = 300 J.
Correct Answer:
A
— 300 J
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Q. What is the change in internal energy of a system if 500 J of work is done on it and 200 J of heat is lost? (2023)
A.
300 J
B.
500 J
C.
700 J
D.
900 J
Show solution
Solution
Change in internal energy (ΔU) = Q - W = -200 J - 500 J = -300 J.
Correct Answer:
A
— 300 J
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Q. What is the characteristic polynomial of the matrix E = [[2, 1], [1, 2]]? (2021)
A.
λ^2 - 3λ + 1
B.
λ^2 - 5λ + 4
C.
λ^2 - 4λ + 3
D.
λ^2 - 2λ + 1
Show solution
Solution
The characteristic polynomial is det(E - λI) = det([[2-λ, 1], [1, 2-λ]]) = (2-λ)(2-λ) - 1 = λ^2 - 3λ + 1.
Correct Answer:
A
— λ^2 - 3λ + 1
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Q. What is the characteristic polynomial of the matrix G = [[2, 1], [1, 2]]? (2020)
A.
λ^2 - 3λ + 1
B.
λ^2 - 5λ + 4
C.
λ^2 - 2λ + 1
D.
λ^2 - 4λ + 4
Show solution
Solution
The characteristic polynomial is given by det(G - λI) = det([[2-λ, 1], [1, 2-λ]]) = (2-λ)(2-λ) - 1 = λ^2 - 3λ + 3.
Correct Answer:
A
— λ^2 - 3λ + 1
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Q. What is the chemical formula for sulfuric acid? (2023)
A.
H2SO4
B.
H2SO3
C.
H2S
D.
SO2
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Solution
The chemical formula for sulfuric acid is H2SO4, which consists of two hydrogen atoms, one sulfur atom, and four oxygen atoms.
Correct Answer:
A
— H2SO4
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Q. What is the circumference of a circle with a diameter of 14 cm? (2023)
A.
22 cm
B.
28 cm
C.
44 cm
D.
56 cm
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Solution
The circumference C of a circle is given by C = π * diameter. Here, C = π * 14 cm ≈ 3.14 * 14 ≈ 44 cm.
Correct Answer:
B
— 28 cm
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Q. What is the circumference of a circle with a radius of 7 cm? (2019)
A.
14π cm
B.
21π cm
C.
7π cm
D.
28π cm
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Solution
Circumference = 2 * π * radius = 2 * π * 7 = 14π cm
Correct Answer:
A
— 14π cm
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Q. What is the circumradius of a triangle with sides 3 cm, 4 cm, and 5 cm? (2021)
A.
2 cm
B.
3 cm
C.
4 cm
D.
5 cm
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Solution
For a right triangle, the circumradius R = hypotenuse/2 = 5/2 = 2.5 cm.
Correct Answer:
D
— 5 cm
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Q. What is the coefficient of O2 when balancing the equation: C4H10 + O2 → CO2 + H2O? (2023)
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Solution
The balanced equation is C4H10 + 6O2 → 4CO2 + 5H2O, so the coefficient of O2 is 6.
Correct Answer:
B
— 6
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Q. What is the coefficient of x^0 in the expansion of (x - 1)^5?
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Solution
The coefficient of x^0 in (x - 1)^5 is given by 5C5 * (-1)^5 = -1.
Correct Answer:
C
— -5
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Q. What is the coefficient of x^2 in the expansion of (2x + 5)^4?
A.
60
B.
80
C.
100
D.
120
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Solution
Using the binomial theorem, the coefficient of x^2 in (2x + 5)^4 is given by 4C2 * (2)^2 * (5)^2 = 6 * 4 * 25 = 600.
Correct Answer:
A
— 60
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Q. What is the coefficient of x^2 in the expansion of (2x - 5)^5? (2019)
A.
-300
B.
-600
C.
600
D.
300
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Solution
The coefficient of x^2 in (2x - 5)^5 is given by 5C2 * (2)^2 * (-5)^3 = 10 * 4 * (-125) = -5000.
Correct Answer:
B
— -600
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Q. What is the coefficient of x^2 in the expansion of (3x + 4)^5?
A.
60
B.
80
C.
100
D.
120
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Solution
The coefficient of x^2 in (3x + 4)^5 is C(5, 2) * (3)^2 * (4)^3 = 10 * 9 * 64 = 5760.
Correct Answer:
B
— 80
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Q. What is the coefficient of x^3 in the expansion of (3x + 2)^5? (2023)
A.
90
B.
180
C.
270
D.
360
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Solution
The coefficient of x^3 in (3x + 2)^5 is given by 5C3 * (3)^3 * (2)^2 = 10 * 27 * 4 = 1080.
Correct Answer:
B
— 180
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Q. What is the coefficient of x^3 in the expansion of (x + 5)^6?
A.
150
B.
300
C.
450
D.
600
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Solution
The coefficient of x^3 in (x + 5)^6 is C(6, 3) * (5)^3 = 20 * 125 = 2500.
Correct Answer:
B
— 300
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Q. What is the coefficient of x^4 in the expansion of (x + 3)^6?
A.
81
B.
162
C.
243
D.
324
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Solution
The coefficient of x^4 in (x + 3)^6 is C(6, 4) * 3^2 = 15 * 9 = 135.
Correct Answer:
C
— 243
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Q. What is the conjugate base of sulfuric acid (H2SO4)?
A.
HSO4-
B.
SO4^2-
C.
H3O+
D.
None of the above
Show solution
Solution
The conjugate base of sulfuric acid (H2SO4) is HSO4-.
Correct Answer:
B
— SO4^2-
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Q. What is the conjugate of the complex number z = 7 - 4i? (2021)
A.
7 + 4i
B.
7 - 4i
C.
-7 + 4i
D.
-7 - 4i
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Solution
The conjugate of z is given by z* = 7 + 4i.
Correct Answer:
A
— 7 + 4i
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Q. What is the continuity of the function f(x) = sqrt(x) at x = 0? (2022)
A.
Continuous
B.
Not continuous
C.
Only left continuous
D.
Only right continuous
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Solution
The function f(x) = sqrt(x) is continuous at x = 0 as it is defined and the limit exists.
Correct Answer:
A
— Continuous
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Q. What is the critical angle for a glass medium (n = 1.5) when light travels from glass to air? (2020)
A.
30 degrees
B.
41.8 degrees
C.
48.6 degrees
D.
60 degrees
Show solution
Solution
Using the formula for critical angle: sin(c) = n2/n1, we find c = sin^(-1)(1/1.5) ≈ 41.8 degrees.
Correct Answer:
B
— 41.8 degrees
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Q. What is the critical angle for light traveling from glass (n = 1.5) to air (n = 1)? (2019)
A.
30 degrees
B.
41.8 degrees
C.
48.6 degrees
D.
60 degrees
Show solution
Solution
Using the formula sin(c) = n2/n1, we find sin(c) = 1/1.5, thus c = sin^(-1)(2/3) ≈ 41.8 degrees.
Correct Answer:
B
— 41.8 degrees
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Q. What is the critical point of f(x) = x^2 - 4x + 4? (2022)
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Solution
Set f'(x) = 2x - 4 = 0; solving gives x = 2.
Correct Answer:
B
— 2
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Q. What is the critical point of the function f(x) = x^2 - 4x + 4? (2022)
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Solution
Find f'(x) = 2x - 4. Set f'(x) = 0, giving 2x - 4 = 0, hence x = 2.
Correct Answer:
B
— 2
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