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 value of p for the parabola defined by the equation y^2 = 20x?
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Solution
In the equation y^2 = 4px, we have 4p = 20, thus p = 5.
Correct Answer:
A
— 5
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Q. What is the value of sin(180° - θ)?
A.
sin θ
B.
cos θ
C.
tan θ
D.
sec θ
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Solution
Using the identity, sin(180° - θ) = sin θ.
Correct Answer:
A
— sin θ
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Q. What is the value of sin(30 degrees)? (2022)
A.
0.5
B.
1
C.
√2/2
D.
√3/2
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Solution
sin(30 degrees) = 1/2 = 0.5.
Correct Answer:
A
— 0.5
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Q. What is the value of sin² θ + cos² θ? (2021)
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Solution
According to the Pythagorean identity, sin² θ + cos² θ = 1 for any angle θ.
Correct Answer:
B
— 1
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Q. What is the value of tan(60°)?
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Q. What is the value of the 3rd term in the expansion of (a + b)^6?
A.
15ab^4
B.
20ab^4
C.
30ab^4
D.
35ab^4
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Solution
The 3rd term in the expansion of (a + b)^6 is given by C(6, 2) * a^4 * b^2 = 15 * a^4 * b^2.
Correct Answer:
B
— 20ab^4
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Q. What is the value of the 3rd term in the expansion of (x + 2)^5?
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Solution
The 3rd term in the expansion of (x + 2)^5 is C(5, 2)(x)^2(2)^3 = 10 * x^2 * 8 = 80.
Correct Answer:
A
— 40
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Q. What is the value of the 5th term in the expansion of (x + 2)^7?
A.
672
B.
672x^4
C.
672x^3
D.
672x^2
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Solution
The 5th term is C(7,4) * (2)^4 * x^3 = 35 * 16 * x^3 = 560x^3.
Correct Answer:
C
— 672x^3
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Q. What is the value of the coefficient of x^0 in the expansion of (x + 5)^3?
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Solution
The coefficient of x^0 in (x + 5)^3 is given by 3C0 * (5)^3 = 1 * 125 = 125.
Correct Answer:
D
— 125
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Q. What is the value of the coefficient of x^4 in the expansion of (2x - 5)^6?
A.
-600
B.
-720
C.
720
D.
600
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Solution
The coefficient of x^4 in (2x - 5)^6 is given by 6C2 * (2)^4 * (-5)^2 = 15 * 16 * 25 = 600. The coefficient is -720.
Correct Answer:
B
— -720
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Q. What is the value of the coefficient of x^4 in the expansion of (x + 5)^6?
A.
150
B.
300
C.
600
D.
750
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Solution
The coefficient of x^4 in (x + 5)^6 is given by 6C4 * 5^2 = 15 * 25 = 375.
Correct Answer:
B
— 300
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Q. What is the value of the coefficient of x^5 in the expansion of (x + 1)^8?
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Solution
The coefficient of x^5 is given by C(8, 5) = 56.
Correct Answer:
B
— 70
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Q. What is the value of the derivative of f(x) = 3x^3 - 2x at x = 1?
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Solution
f'(x) = 9x^2 - 2. At x = 1, f'(1) = 9*1^2 - 2 = 7.
Correct Answer:
A
— 7
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Q. What is the value of the determinant of the matrix G = [[1, 2, 3], [0, 1, 4], [5, 6, 0]]? (2022)
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Solution
Using the determinant formula, det(G) = 1(1*0 - 4*6) - 2(0 - 4*5) + 3(0 - 1*5) = -24 + 40 - 15 = 1.
Correct Answer:
A
— -34
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Q. What is the value of the discriminant for the equation 3x^2 + 12x + 12 = 0?
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Solution
The discriminant is b^2 - 4ac = 12^2 - 4(3)(12) = 144 - 144 = 0.
Correct Answer:
A
— 0
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Q. What is the value of the discriminant for the equation 3x^2 + 12x + 9 = 0?
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Solution
The discriminant is b^2 - 4ac = 12^2 - 4*3*9 = 144 - 108 = 36.
Correct Answer:
A
— 0
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Q. What is the value of the discriminant for the quadratic equation 3x^2 + 12x + 9 = 0? (2019)
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Solution
The discriminant D = b^2 - 4ac = 12^2 - 4*3*9 = 0, indicating equal roots.
Correct Answer:
A
— 0
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Q. What is the value of the discriminant for the quadratic equation 3x^2 + 6x + 2 = 0? (2023)
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Solution
The discriminant is b^2 - 4ac = 6^2 - 4(3)(2) = 36 - 24 = 12.
Correct Answer:
B
— 4
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Q. What is the value of the expression (2 + 3) × (4 - 1)? (2019)
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Solution
Calculating inside the parentheses first: (2 + 3) = 5 and (4 - 1) = 3. Therefore, 5 × 3 = 15.
Correct Answer:
A
— 15
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Q. What is the value of the expression (3 + 5) × (2 - 1)? (2019)
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Solution
Calculating inside the parentheses first: (3 + 5) = 8 and (2 - 1) = 1. Therefore, (3 + 5) × (2 - 1) = 8 × 1 = 8.
Correct Answer:
A
— 8
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Q. What is the value of the expression (4 + 5) × 2? (2023)
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Solution
First, we calculate the sum inside the parentheses: 4 + 5 = 9. Then we multiply by 2: 9 × 2 = 18.
Correct Answer:
A
— 18
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Q. What is the value of the expression (8 + 4) ÷ 2 × 3? (2022)
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Solution
First, calculate inside the parentheses: 8 + 4 = 12. Then divide by 2: 12 ÷ 2 = 6. Finally, multiply by 3: 6 × 3 = 18.
Correct Answer:
B
— 12
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Q. What is the value of the expression 10 - (3 + 2) × 2?
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Solution
First calculate inside the parentheses: 3 + 2 = 5. Then, 5 × 2 = 10. Finally, 10 - 10 = 0.
Correct Answer:
B
— 1
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Q. What is the value of the expression 10 - 2 × 3 + 4? (2023)
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Solution
Following the order of operations: 10 - 6 + 4 = 8.
Correct Answer:
A
— 8
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Q. What is the value of the expression 2 + 3 × 4?
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Solution
According to the order of operations, we first multiply: 3 × 4 = 12, then add: 2 + 12 = 14.
Correct Answer:
C
— 12
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Q. What is the value of the expression 2(3 + 4) - 5? (2019)
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Solution
Calculating gives 2(7) - 5 = 14 - 5 = 9.
Correct Answer:
B
— 10
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Q. What is the value of the expression 2^3 + 3^2 - 4? (2021)
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Solution
2^3 = 8, 3^2 = 9, so 8 + 9 - 4 = 13. The correct answer is 7.
Correct Answer:
B
— 7
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Q. What is the value of the expression 2^3 + 3^2? (2023)
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Solution
Calculating gives 2^3 = 8 and 3^2 = 9. Therefore, 2^3 + 3^2 = 8 + 9 = 17.
Correct Answer:
A
— 17
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Q. What is the value of the expression 3(2 + 4) - 5? (2022)
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Solution
First, calculate the expression inside the parentheses: 2 + 4 = 6. Then, multiply by 3: 3 × 6 = 18. Finally, subtract 5: 18 - 5 = 13.
Correct Answer:
A
— 10
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Q. What is the value of the expression 3(4 + 5)?
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Solution
3(4 + 5) = 3 × 9 = 27.
Correct Answer:
A
— 27
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