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. The following scores were obtained in a quiz: 10, 10, 20, 20, 20, 30, 30, 40. What is the mode?
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Solution
The mode is 20, as it appears most frequently (3 times) in the data set.
Correct Answer:
B
— 20
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Q. The following scores were recorded in a game: 10, 20, 10, 30, 20, 10, 40. What is the mode?
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Solution
The mode is 10, as it appears 3 times, which is more than any other score.
Correct Answer:
A
— 10
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Q. The function f(x) = 1/(x-1) is continuous on which of the following intervals?
A.
(-∞, 1)
B.
(1, ∞)
C.
(-∞, ∞)
D.
(-∞, 0)
Show solution
Solution
The function f(x) = 1/(x-1) is discontinuous at x = 1, hence it is continuous on (1, ∞).
Correct Answer:
B
— (1, ∞)
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Q. The function f(x) = 2x + 1 is continuous at which of the following intervals?
A.
(-∞, ∞)
B.
(0, 1)
C.
(1, 2)
D.
(2, 3)
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Solution
f(x) = 2x + 1 is a linear function and is continuous over the entire real line (-∞, ∞).
Correct Answer:
A
— (-∞, ∞)
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Q. The function f(x) = 2x + 3 is continuous at which of the following intervals?
A.
(-∞, ∞)
B.
[0, 1]
C.
[1, 2]
D.
[2, 3]
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Solution
f(x) = 2x + 3 is a linear function and is continuous over the entire real line (-∞, ∞).
Correct Answer:
A
— (-∞, ∞)
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Q. The function f(x) = 2x + 3 is continuous at which of the following? (2023)
A.
x = -1
B.
x = 0
C.
x = 1
D.
All of the above
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Solution
f(x) = 2x + 3 is a linear function and is continuous for all x.
Correct Answer:
D
— All of the above
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Q. The function f(x) = sin(x) + cos(x) has a maximum value at which point? (2022)
A.
π/4
B.
π/2
C.
0
D.
3π/4
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Solution
To find the maximum, set f'(x) = cos(x) - sin(x) = 0. This occurs at x = π/4.
Correct Answer:
A
— π/4
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Q. The function f(x) = x^2 + 3 is continuous for which of the following intervals? (2023)
A.
(-∞, ∞)
B.
(0, 1)
C.
(1, 2)
D.
(2, 3)
Show solution
Solution
f(x) = x^2 + 3 is a polynomial function and is continuous for all x in (-∞, ∞).
Correct Answer:
A
— (-∞, ∞)
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Q. The function f(x) = x^2 is continuous at which of the following points? (2023)
A.
x = -1
B.
x = 0
C.
x = 1
D.
All of the above
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Solution
The function f(x) = x^2 is a polynomial function and is continuous at all points, including -1, 0, and 1.
Correct Answer:
D
— All of the above
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Q. The function f(x) = x^3 - 3x is continuous at which of the following points? (2023)
A.
x = -2
B.
x = 0
C.
x = 2
D.
All of the above
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Solution
The function f(x) = x^3 - 3x is a polynomial function and is continuous at all points, including -2, 0, and 2.
Correct Answer:
D
— All of the above
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Q. The function f(x) = { x + 1, x < 1; 2, x = 1; x^2, x > 1 } is continuous at x = 1?
A.
Yes
B.
No
C.
Only left continuous
D.
Only right continuous
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Solution
Left limit as x approaches 1 is 2, right limit is 1, but f(1) = 2. Hence, it is discontinuous at x = 1.
Correct Answer:
B
— No
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Q. The function f(x) = { x^2, x < 0; 0, x = 0; x + 1, x > 0 } is:
A.
Continuous
B.
Not continuous
C.
Continuous from the left
D.
Continuous from the right
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Solution
The left limit as x approaches 0 is 0, but the right limit is 1. Hence, it is not continuous at x = 0.
Correct Answer:
B
— Not continuous
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Q. The function f(x) = { x^2, x < 0; 2, x = 0; x + 1, x > 0 } is continuous at x = 0?
A.
Yes
B.
No
C.
Only left continuous
D.
Only right continuous
Show solution
Solution
At x = 0, lim x→0- f(x) = 0 and lim x→0+ f(x) = 1, hence it is discontinuous at x = 0.
Correct Answer:
B
— No
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Q. The Fundamental Duties were added to the Constitution by which amendment? (2023)
A.
42nd Amendment
B.
44th Amendment
C.
61st Amendment
D.
73rd Amendment
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Solution
The Fundamental Duties were added to the Constitution by the 42nd Amendment.
Correct Answer:
A
— 42nd Amendment
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Q. The Indian Independence Act was enacted in which year? (1947)
A.
1947
B.
1945
C.
1946
D.
1948
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Solution
The Indian Independence Act was enacted in 1947, leading to the partition of India and the establishment of two independent dominions.
Correct Answer:
A
— 1947
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Q. The Indian Independence Act was passed in which year? (1947)
A.
1945
B.
1947
C.
1946
D.
1948
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Solution
The Indian Independence Act was passed by the British Parliament in July 1947.
Correct Answer:
B
— 1947
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Q. The Lahore Resolution was passed in which year? (1940)
A.
1940
B.
1935
C.
1929
D.
1947
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Solution
The Lahore Resolution was passed in 1940, calling for greater autonomy for Muslim-majority regions in India.
Correct Answer:
A
— 1940
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Q. The Lahore Resolution, which called for a separate nation for Muslims, was passed in which year? (1940)
A.
1940
B.
1930
C.
1929
D.
1947
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Solution
The Lahore Resolution was passed in 1940.
Correct Answer:
A
— 1940
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Q. The Lahore Resolution, which called for the creation of a separate nation for Muslims, was passed in which year? (1940)
A.
1940
B.
1930
C.
1929
D.
1947
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Solution
The Lahore Resolution was passed in 1940, demanding a separate nation for Muslims in India.
Correct Answer:
A
— 1940
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Q. The lengths of the sides of triangle ABC are 5 cm, 12 cm, and 13 cm. What is the area of the triangle? (2019)
A.
30 cm²
B.
60 cm²
C.
24 cm²
D.
40 cm²
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Solution
Using Heron's formula, s = (5 + 12 + 13)/2 = 15. Area = √[s(s-a)(s-b)(s-c)] = √[15(15-5)(15-12)(15-13)] = √[15*10*3*2] = √[900] = 30 cm².
Correct Answer:
A
— 30 cm²
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Q. The lengths of the sides of triangle ABC are 7 cm, 24 cm, and 25 cm. Is this triangle a right triangle? (2020)
A.
Yes
B.
No
C.
Cannot be determined
D.
Only if angle A is 90 degrees
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Solution
Using the Pythagorean theorem, 7^2 + 24^2 = 49 + 576 = 625 = 25^2. Therefore, triangle ABC is a right triangle.
Correct Answer:
A
— Yes
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Q. The lengths of the sides of triangle GHI are 5 cm, 12 cm, and 13 cm. What is the area of the triangle? (2019)
A.
30 cm²
B.
60 cm²
C.
65 cm²
D.
78 cm²
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Solution
This is a right triangle. Area = 1/2 * base * height = 1/2 * 5 * 12 = 30 cm².
Correct Answer:
A
— 30 cm²
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Q. The magnitude of the vector A = 4i - 3j + 12k is:
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Solution
Magnitude |A| = √(4^2 + (-3)^2 + 12^2) = √(16 + 9 + 144) = √169 = 13.
Correct Answer:
B
— 14
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Q. The mantle of the Earth is mainly composed of which type of rock? (2019)
A.
Igneous
B.
Sedimentary
C.
Metamorphic
D.
Basaltic
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Solution
The mantle is primarily composed of silicate minerals, which are classified as igneous rocks.
Correct Answer:
A
— Igneous
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Q. The mean of 10 numbers is 50. If one number is removed, the mean becomes 48. What is the removed number?
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Solution
Total of 10 numbers = 10 * 50 = 500. Total of 9 numbers = 9 * 48 = 432. Removed number = 500 - 432 = 68.
Correct Answer:
A
— 52
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Q. The mean of 10, 20, 30, 40, and x is 25. What is the value of x? (2022)
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Solution
Mean = (10 + 20 + 30 + 40 + x) / 5 = 25. Therefore, 100 + x = 125, so x = 25.
Correct Answer:
A
— 10
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Q. The mean of 4, 6, 8, and x is 7. What is the value of x?
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Solution
Mean = (4 + 6 + 8 + x) / 4 = 7. Thus, 18 + x = 28, so x = 10.
Correct Answer:
D
— 10
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Q. The mean of 5, 10, 15, 20, and x is 12. What is the value of x?
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Solution
Mean = (5 + 10 + 15 + 20 + x) / 5 = 12.\n\n50 + x = 60\n\nx = 60 - 50 = 10.
Correct Answer:
A
— 5
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Q. The mean of 5, 10, 15, and 20 is what?
A.
10
B.
12.5
C.
15
D.
17.5
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Solution
Mean = (5 + 10 + 15 + 20) / 4 = 50 / 4 = 12.5.
Correct Answer:
C
— 15
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Q. The mean of 5, 10, 15, and x is 12. What is the value of x?
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Solution
Mean = (5 + 10 + 15 + x) / 4 = 12. Therefore, 30 + x = 48, so x = 18.
Correct Answer:
A
— 8
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