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. 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)
Show solution
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]
Show solution
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
Show solution
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
Show solution
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
Show solution
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
Show solution
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
Show solution
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
Show solution
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
Show solution
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
Show solution
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
Show solution
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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