NDA MCQ & Objective Questions
The National Defence Academy (NDA) exam is a crucial stepping stone for students aspiring to join the Indian Armed Forces. It tests not only knowledge but also the ability to apply concepts effectively. Practicing NDA MCQs and objective questions is essential for enhancing your exam preparation, as it helps in identifying important questions and boosts confidence in tackling various subjects.
What You Will Practise Here
Mathematics: Key concepts, formulas, and problem-solving techniques.
General Knowledge: Current affairs, history, and geography relevant to NDA.
English: Grammar, comprehension, and vocabulary exercises.
Physics: Fundamental principles and application-based questions.
Chemistry: Important definitions, reactions, and theoretical concepts.
Logical Reasoning: Techniques for solving puzzles and analytical questions.
Military History: Significant events and figures in Indian military history.
Exam Relevance
The NDA exam is not only significant for aspiring defence candidates but also aligns with various school and competitive exams like CBSE, State Boards, NEET, and JEE. Questions often follow a pattern that includes multiple-choice formats, requiring students to apply their knowledge effectively. Understanding the common question types and formats will enhance your readiness for these exams.
Common Mistakes Students Make
Misinterpreting questions due to lack of careful reading.
Overlooking important formulas in Mathematics and Physics.
Confusing similar concepts in Chemistry and General Knowledge.
Neglecting to practice logical reasoning, leading to time management issues.
Failing to revise key definitions and terms in English and other subjects.
FAQs
Question: What are NDA MCQ questions?Answer: NDA MCQ questions are multiple-choice questions designed to test your knowledge and understanding of various subjects relevant to the NDA exam.
Question: How can I prepare for NDA objective questions with answers?Answer: Regular practice of NDA objective questions, along with reviewing answers and explanations, will help solidify your understanding and improve your performance.
Question: What are some important NDA questions for exams?Answer: Important NDA questions often cover key concepts in Mathematics, General Knowledge, English, and Science, focusing on application and analytical skills.
Start your journey towards success by solving NDA practice MCQs today! Testing your understanding through these objective questions will not only prepare you for the exam but also build your confidence to excel.
Q. If f(x) = x^4 - 4x^3, find f'(2). (2023)
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Solution
f'(x) = 4x^3 - 12x^2; thus, f'(2) = 4(2^3) - 12(2^2) = 32 - 48 = -16.
Correct Answer:
C
— 16
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Q. If f(x) = x^4 - 4x^3, what is f'(2)? (2019)
Show solution
Solution
f'(x) = 4x^3 - 12x^2. f'(2) = 4(2^3) - 12(2^2) = 32 - 48 = -16.
Correct Answer:
B
— 8
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Q. If f(x) = x^4 - 8x^2 + 16, what is the minimum value of f(x)? (2023)
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Solution
Finding the derivative f'(x) = 4x^3 - 16x. Setting it to zero gives x = 0, ±2. The minimum value occurs at x = 2, f(2) = 0.
Correct Answer:
A
— 0
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Q. If G = [[2, 3], [5, 7]], find the eigenvalues of G.
A.
1, 8
B.
2, 7
C.
3, 5
D.
4, 6
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Solution
The eigenvalues are found by solving the characteristic equation det(G - λI) = 0. The eigenvalues are λ = 1, 8.
Correct Answer:
A
— 1, 8
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Q. If H = [[0, 1], [-1, 0]], what is the determinant of H? (2019)
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Solution
The determinant of H is calculated as (0*-0) - (1*-1) = 0 + 1 = 1.
Correct Answer:
C
— -1
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Q. If H = [[1, 2, 3], [0, 1, 4], [5, 6, 0]], find the determinant of H. (2022)
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Solution
Using the determinant formula for 3x3 matrices, det(H) = 1(1*0 - 4*6) - 2(0 - 4*5) + 3(0 - 1*5) = 0 - 40 - 15 = -55.
Correct Answer:
A
— -24
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Q. If H = [[1, 2], [2, 4]], what is the rank of H?
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Solution
The rank of H is 1 because the second row is a multiple of the first row.
Correct Answer:
A
— 1
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Q. If H = [[2, 3], [5, 7]], find the eigenvalues of H. (2023)
A.
1, 8
B.
2, 7
C.
3, 5
D.
4, 5
Show solution
Solution
The eigenvalues are found by solving the characteristic equation: det(H - λI) = 0, which gives λ^2 - 9λ + 1 = 0.
Correct Answer:
A
— 1, 8
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Q. If h(x) = e^(2x), what is h'(x)? (2019)
A.
2e^(2x)
B.
e^(2x)
C.
2xe^(2x)
D.
e^(x)
Show solution
Solution
Using the chain rule, h'(x) = 2e^(2x).
Correct Answer:
A
— 2e^(2x)
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Q. If I = [[1, 1], [1, 1]], what is the rank of I? (2022)
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Solution
The rank of I is 1 because all rows are linearly dependent.
Correct Answer:
B
— 1
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Q. If I = [[1, 2, 3], [0, 1, 4], [5, 6, 0]], find the determinant of I.
Show solution
Solution
Using the determinant formula for 3x3 matrices, det(I) = 1(1*0 - 4*6) - 2(0 - 4*5) + 3(0 - 1*5) = 0 - 40 - 15 = -55.
Correct Answer:
A
— -24
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Q. If I = [[2, 1], [1, 2]], what is the trace of I?
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Solution
The trace of a matrix is the sum of its diagonal elements. Thus, trace(I) = 2 + 2 = 4.
Correct Answer:
C
— 3
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Q. If it is 10:00 AM at 90°W, what is the time at 60°E?
A.
1:00 PM
B.
2:00 PM
C.
3:00 PM
D.
4:00 PM
Show solution
Solution
The total difference is 90° + 60° = 150°. Therefore, the time difference is 150° / 15° = 10 hours. So, it is 10:00 AM + 10 hours = 8:00 PM.
Correct Answer:
C
— 3:00 PM
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Q. If it is 10:00 AM at 90°W, what time is it at 30°E?
A.
2:00 PM
B.
3:00 PM
C.
4:00 PM
D.
5:00 PM
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Solution
The total distance is 90° + 30° = 120°. The time difference is 120° * 4 minutes = 480 minutes = 8 hours. Therefore, 10:00 AM + 8 hours = 6:00 PM.
Correct Answer:
C
— 4:00 PM
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Q. If it is 12:00 noon at the Prime Meridian (0 degrees longitude), what time is it at 45 degrees East longitude? (2020)
A.
6:00 AM
B.
12:00 PM
C.
6:00 PM
D.
3:00 PM
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Solution
At 45 degrees East, it is 45/15 = 3 hours ahead. Therefore, it is 12:00 PM + 3 hours = 3:00 PM.
Correct Answer:
C
— 6:00 PM
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Q. If it is 12:00 noon at the Prime Meridian (0° longitude), what time is it at 120°E longitude? (2020)
A.
4:00 PM
B.
6:00 PM
C.
8:00 PM
D.
10:00 PM
Show solution
Solution
At 120°E, the time is 120° / 15° = 8 hours ahead of GMT. Therefore, it is 12:00 noon + 8 hours = 8:00 PM.
Correct Answer:
C
— 8:00 PM
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Q. If it is 12:00 noon at the Prime Meridian (0° longitude), what time is it at 45°E longitude?
A.
2:30 PM
B.
3:00 PM
C.
12:30 PM
D.
1:00 PM
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Solution
Each degree of longitude represents 4 minutes of time. Therefore, at 45°E, it is 45 * 4 = 180 minutes or 3 hours ahead, making it 3:00 PM.
Correct Answer:
B
— 3:00 PM
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Q. If it is 12:00 noon at the Prime Meridian (0° longitude), what time is it at 75°W longitude?
A.
6:00 AM
B.
7:00 AM
C.
8:00 AM
D.
9:00 AM
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Solution
Each degree of longitude represents 4 minutes of time. 75°W = 75 * 4 = 300 minutes = 5 hours. Therefore, it is 12:00 noon - 5 hours = 7:00 AM.
Correct Answer:
C
— 8:00 AM
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Q. If it is 12:00 noon at the Prime Meridian (0° longitude), what time is it at 90° East longitude? (2020)
A.
6:00 AM
B.
12:00 PM
C.
6:00 PM
D.
12:00 AM
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Solution
90° East is 6 hours ahead of the Prime Meridian (90/15 = 6), so it is 6:00 PM.
Correct Answer:
C
— 6:00 PM
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Q. If it is 3 PM in New York (75° W), what time is it in London (0° longitude)? (2020)
A.
12 PM
B.
6 PM
C.
8 PM
D.
9 PM
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Solution
New York is 75° W, which is 75/15 = 5 hours behind London. Therefore, 3 PM + 5 hours = 8 PM in London.
Correct Answer:
B
— 6 PM
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Q. If it is 3:00 PM at 90°W, what is the time at 60°E?
A.
1:00 AM
B.
1:00 PM
C.
9:00 PM
D.
9:00 AM
Show solution
Solution
The difference is 90° + 60° = 150°, which is 10 hours ahead. So, 3:00 PM + 10 hours = 1:00 AM.
Correct Answer:
C
— 9:00 PM
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Q. If it is 3:00 PM in New Delhi (77 degrees East), what time is it in London (0 degrees)?
A.
8:30 AM
B.
9:30 AM
C.
10:30 AM
D.
11:30 AM
Show solution
Solution
New Delhi is 77/15 = 5.13 hours ahead of GMT. Therefore, 3:00 PM - 5.13 hours = 9:30 AM.
Correct Answer:
B
— 9:30 AM
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Q. If it is 3:00 PM in New Delhi (77.1°E), what time is it in London (0° longitude)?
A.
9:30 AM
B.
8:30 AM
C.
10:30 AM
D.
7:30 AM
Show solution
Solution
New Delhi is 77.1°E, which is 77.1 * 4 = 308.4 minutes ahead of UTC. Therefore, it is 3:00 PM - 5 hours and 8 minutes = 9:30 AM in London.
Correct Answer:
B
— 8:30 AM
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Q. If it is 3:00 PM in New Delhi (77.2°E), what time is it in London (0° longitude)?
A.
8:30 AM
B.
9:30 AM
C.
10:30 AM
D.
11:30 AM
Show solution
Solution
New Delhi is 77.2°E, which is 77.2 * 4 minutes = 308.8 minutes ahead of GMT. Therefore, 3:00 PM - 5 hours and 8.8 minutes = 9:30 AM in London.
Correct Answer:
B
— 9:30 AM
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Q. If it is 3:00 PM in New Delhi (77°E), what time is it in London (0° longitude)?
A.
8:30 AM
B.
9:30 AM
C.
10:30 AM
D.
11:30 AM
Show solution
Solution
New Delhi is 77°E, which is 77 * 4 = 308 minutes = 5 hours and 8 minutes ahead of GMT. Therefore, 3:00 PM - 5:08 = 9:30 AM.
Correct Answer:
B
— 9:30 AM
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Q. If it is 3:00 PM in New Delhi (77°E), what time is it in London (0°)?
A.
8:00 AM
B.
9:00 AM
C.
10:00 AM
D.
11:00 AM
Show solution
Solution
New Delhi is 77°E, which is 77/15 = 5.13 hours ahead. Therefore, 3:00 PM - 5 hours = 10:00 AM in London.
Correct Answer:
A
— 8:00 AM
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Q. If it is 3:00 PM in New York (75°W), what time is it in London (0° longitude)?
A.
8:00 PM
B.
6:00 PM
C.
5:00 PM
D.
4:00 PM
Show solution
Solution
New York is 5 hours behind London. Therefore, 3:00 PM + 5 hours = 8:00 PM in London.
Correct Answer:
B
— 6:00 PM
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Q. If it is 3:00 PM in New York (GMT-5), what time is it in London (GMT+0)? (2022)
A.
8:00 AM
B.
10:00 AM
C.
12:00 PM
D.
3:00 PM
Show solution
Solution
New York is 5 hours behind London, so 3:00 PM + 5 hours = 8:00 PM in London.
Correct Answer:
B
— 10:00 AM
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Q. If it is 6:00 AM at 30° East longitude, what time is it at 120° West longitude? (2022)
A.
10:00 PM
B.
12:00 AM
C.
2:00 AM
D.
4:00 AM
Show solution
Solution
The time difference is 30 + 120 = 150 degrees. 150/15 = 10 hours. So, 6:00 AM - 10 hours = 8:00 PM previous day.
Correct Answer:
A
— 10:00 PM
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Q. If it is 6:00 AM at 45°E longitude, what is the time at 135°E longitude?
A.
8:00 AM
B.
9:00 AM
C.
10:00 AM
D.
11:00 AM
Show solution
Solution
135°E is 135/15 = 9 hours ahead. Therefore, 6:00 AM + 9 hours = 3:00 PM.
Correct Answer:
C
— 10:00 AM
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