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 total capacitance of two capacitors of 3 µF and 6 µF in parallel?
A.
9 µF
B.
2 µF
C.
18 µF
D.
1.5 µF
Show solution
Solution
In parallel, the total capacitance is the sum: C_total = C1 + C2 = 3 µF + 6 µF = 9 µF.
Correct Answer:
A
— 9 µF
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Q. What is the total capacitance of two capacitors of 4 microfarads and 6 microfarads connected in series? (2019)
A.
2.4 microfarads
B.
10 microfarads
C.
24 microfarads
D.
1.5 microfarads
Show solution
Solution
For capacitors in series, 1/C_eq = 1/C1 + 1/C2. Thus, 1/C_eq = 1/4 + 1/6 = 5/12. Therefore, C_eq = 2.4 microfarads.
Correct Answer:
A
— 2.4 microfarads
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Q. What is the total capacitance of two capacitors, C1 = 3μF and C2 = 6μF, connected in series? (2022)
A.
2μF
B.
9μF
C.
1.5μF
D.
18μF
Show solution
Solution
The formula for total capacitance in series is 1/C_eq = 1/C1 + 1/C2. Thus, 1/C_eq = 1/3 + 1/6 = 1/2, so C_eq = 2μF.
Correct Answer:
A
— 2μF
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Q. What is the total current in a parallel circuit with three branches carrying 2 A, 3 A, and 5 A respectively?
A.
10 A
B.
5 A
C.
3 A
D.
2 A
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Solution
In a parallel circuit, the total current is the sum of the currents in each branch: I_total = 2 A + 3 A + 5 A = 10 A.
Correct Answer:
A
— 10 A
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Q. What is the total current in a parallel circuit with two branches carrying 3 A and 5 A?
A.
8 A
B.
15 A
C.
5 A
D.
3 A
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Solution
In a parallel circuit, the total current is the sum of the currents in each branch: I_total = I1 + I2 = 3 A + 5 A = 8 A.
Correct Answer:
A
— 8 A
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Q. What is the total energy stored in a capacitor of capacitance 20 microfarads charged to 10 volts?
A.
1 joule
B.
0.1 joule
C.
0.01 joule
D.
0.5 joule
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Solution
Energy (E) stored in a capacitor is given by E = 0.5 * C * V^2. Thus, E = 0.5 * 20 x 10^-6 F * (10 V)^2 = 0.1 joules.
Correct Answer:
B
— 0.1 joule
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Q. What is the total mechanical energy of a system if the potential energy is 50 J and the kinetic energy is 30 J?
A.
80 J
B.
50 J
C.
30 J
D.
20 J
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Solution
Total Mechanical Energy (TME) = Potential Energy + Kinetic Energy = 50 J + 30 J = 80 J.
Correct Answer:
A
— 80 J
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Q. What is the total number of degrees in a triangle formed by the intersection of the medians of a triangle? (2021)
A.
90 degrees
B.
180 degrees
C.
270 degrees
D.
360 degrees
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Solution
The sum of the angles in any triangle is always 180 degrees.
Correct Answer:
B
— 180 degrees
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Q. What is the total number of electrons in a neutral atom of carbon? (2019)
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Solution
A neutral carbon atom has an atomic number of 6, which means it has 6 electrons.
Correct Answer:
B
— 6
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Q. What is the total number of members in the Rajya Sabha?
A.
250
B.
245
C.
300
D.
200
Show solution
Solution
The Rajya Sabha, the upper house of India's Parliament, has a total of 245 members.
Correct Answer:
B
— 245
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Q. What is the total number of neutrons in an atom of carbon-14? (2021)
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Solution
Carbon-14 has an atomic number of 6 (6 protons). The mass number is 14, so the number of neutrons is 14 - 6 = 8.
Correct Answer:
B
— 7
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Q. What is the total number of states in India as of 2021? (2021)
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Solution
As of 2021, India has 28 states.
Correct Answer:
A
— 28
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Q. What is the total resistance in a series circuit with resistors of 4 ohms, 6 ohms, and 10 ohms? (2023)
A.
20 ohms
B.
10 ohms
C.
6 ohms
D.
4 ohms
Show solution
Solution
In a series circuit, total resistance (R_total) is the sum of individual resistances: R_total = 4 + 6 + 10 = 20 ohms.
Correct Answer:
A
— 20 ohms
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Q. What is the trace of a 2x2 matrix A = [[3, 2], [1, 4]]? (2022)
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Solution
The trace of a matrix is the sum of its diagonal elements. For matrix A, the trace is 3 + 4 = 7.
Correct Answer:
B
— 6
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Q. What is the trace of a 2x2 matrix A = [[a, b], [c, d]]? (2022)
A.
a + b + c + d
B.
a + d
C.
b + c
D.
a * d
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Solution
The trace of a matrix is the sum of its diagonal elements. For matrix A, the trace is a + d.
Correct Answer:
B
— a + d
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Q. What is the trace of a 2x2 matrix [[a, b], [c, d]]? (2019)
A.
a + b
B.
b + c
C.
a + d
D.
c + d
Show solution
Solution
The trace of a matrix is the sum of its diagonal elements. For the matrix [[a, b], [c, d]], the trace is a + d.
Correct Answer:
C
— a + d
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Q. What is the trace of a matrix?
A.
Sum of all elements
B.
Sum of diagonal elements
C.
Product of diagonal elements
D.
None of the above
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Solution
The trace of a matrix is defined as the sum of the elements on the main diagonal.
Correct Answer:
B
— Sum of diagonal elements
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Q. What is the trace of a square matrix? (2022)
A.
Sum of all elements
B.
Product of diagonal elements
C.
Sum of diagonal elements
D.
Difference of diagonal elements
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Solution
The trace of a square matrix is defined as the sum of the elements on its main diagonal.
Correct Answer:
C
— Sum of diagonal elements
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Q. What is the trace of the matrix H = [[2, 0, 1], [0, 3, 0], [1, 0, 4]]? (2019)
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Solution
The trace of a matrix is the sum of its diagonal elements. Here, trace(H) = 2 + 3 + 4 = 9.
Correct Answer:
C
— 7
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Q. What is the trace of the matrix H = [[2, 1], [1, 3]]?
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Solution
The trace of a matrix is the sum of its diagonal elements. Here, trace(H) = 2 + 3 = 5.
Correct Answer:
B
— 4
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Q. What is the trace of the matrix I = [[3, 2], [1, 4]]? (2023)
Show solution
Solution
The trace of a matrix is the sum of its diagonal elements. Here, trace(I) = 3 + 4 = 7.
Correct Answer:
B
— 6
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Q. What is the trace of the matrix I = [[5, 2], [3, 4]]? (2022)
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Solution
The trace of a matrix is the sum of its diagonal elements. Thus, trace(I) = 5 + 4 = 9.
Correct Answer:
C
— 9
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Q. What is the unit vector in the direction of vector A = 4i + 3j?
A.
(4/5)i + (3/5)j
B.
(3/4)i + (4/3)j
C.
(4/3)i + (3/4)j
D.
(3/5)i + (4/5)j
Show solution
Solution
Unit vector = A / |A| = (4i + 3j) / √(4^2 + 3^2) = (4i + 3j) / 5 = (4/5)i + (3/5)j.
Correct Answer:
A
— (4/5)i + (3/5)j
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Q. What is the value of (1 + 2)^5 using the binomial theorem?
A.
32
B.
64
C.
128
D.
256
Show solution
Solution
Using the binomial theorem, (1 + 2)^5 = 3^5 = 243.
Correct Answer:
B
— 64
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Q. What is the value of (1 + i)²?
A.
2i
B.
2
C.
0
D.
1 + 2i
Show solution
Solution
(1 + i)² = 1² + 2(1)(i) + i² = 1 + 2i - 1 = 2i.
Correct Answer:
B
— 2
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Q. What is the value of (2 + 3i) + (4 - 2i)?
A.
6 + i
B.
6 + i
C.
2 + 5i
D.
8 + i
Show solution
Solution
To add the complex numbers, we combine the real parts and the imaginary parts: (2 + 4) + (3 - 2)i = 6 + 1i = 6 + i.
Correct Answer:
A
— 6 + i
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Q. What is the value of (2x + 3)(2x - 3)?
A.
4x² - 9
B.
4x² + 9
C.
4x² - 6x + 9
D.
4x² + 6x - 9
Show solution
Solution
(2x + 3)(2x - 3) = 4x² - 9.
Correct Answer:
A
— 4x² - 9
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Q. What is the value of (2x + 3)²?
A.
4x² + 9
B.
4x² + 12x + 9
C.
4x² + 6x + 9
D.
2x² + 6x + 9
Show solution
Solution
(2x + 3)² = 4x² + 12x + 9 by expanding the square of a binomial.
Correct Answer:
B
— 4x² + 12x + 9
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Q. What is the value of (3/4) + (1/2)?
A.
1
B.
5/4
C.
3/2
D.
7/4
Show solution
Solution
Convert 1/2 to 2/4, then (3/4) + (2/4) = 5/4.
Correct Answer:
B
— 5/4
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Q. What is the value of (3x + 4)(3x - 4)?
A.
9x² - 16
B.
9x² + 16
C.
12x² - 16
D.
12x² + 16
Show solution
Solution
(3x + 4)(3x - 4) = (3x)² - 4² = 9x² - 16.
Correct Answer:
A
— 9x² - 16
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