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. What is the effect of deforestation on river soil quality?
A.
Improves soil quality
B.
No effect
C.
Decreases soil quality
D.
Increases soil moisture
Show solution
Solution
Deforestation decreases soil quality by increasing erosion and reducing the organic matter content in the soil.
Correct Answer:
C
— Decreases soil quality
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Q. What is the electron configuration of a chlorine atom (atomic number 17)? (2020)
A.
1s² 2s² 2p⁶ 3s² 3p⁵
B.
1s² 2s² 2p⁶ 3s² 3p⁶
C.
1s² 2s² 2p⁶ 3s² 3p⁴
D.
1s² 2s² 2p⁶ 3s² 3d⁵
Show solution
Solution
The electron configuration of chlorine is 1s² 2s² 2p⁶ 3s² 3p⁵, filling up to the 3p subshell.
Correct Answer:
A
— 1s² 2s² 2p⁶ 3s² 3p⁵
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Q. What is the electron configuration of a neutral carbon atom? (2022)
A.
1s² 2s² 2p²
B.
1s² 2s² 2p⁶
C.
1s² 2s² 2p⁴
D.
1s² 2s² 2p³
Show solution
Solution
Carbon has an atomic number of 6, and its electron configuration is 1s² 2s² 2p².
Correct Answer:
A
— 1s² 2s² 2p²
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Q. What is the electron configuration of an oxygen atom? (2021)
A.
1s² 2s² 2p⁴
B.
1s² 2s² 2p²
C.
1s² 2s² 2p⁶
D.
1s² 2s² 2p³
Show solution
Solution
Oxygen has 8 electrons, and its electron configuration is 1s² 2s² 2p⁴.
Correct Answer:
A
— 1s² 2s² 2p⁴
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Q. What is the empirical formula of a compound with a molecular formula C6H12? (2021)
A.
CH
B.
C2H4
C.
C3H6
D.
C6H12
Show solution
Solution
The empirical formula is obtained by dividing the subscripts by the greatest common divisor, which is 2. Thus, C6H12 becomes C3H6.
Correct Answer:
B
— C2H4
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Q. What is the empirical formula of a compound with the molecular formula C6H12? (2021)
A.
CH
B.
C2H4
C.
C3H6
D.
C6H12
Show solution
Solution
The empirical formula is obtained by dividing the subscripts by the greatest common divisor, which is 2. Thus, C6H12 becomes C3H6.
Correct Answer:
B
— C2H4
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Q. What is the energy of a photon with a frequency of 5 x 10^14 Hz? (Planck's constant h = 6.626 x 10^-34 J·s) (2021)
A.
3.31 x 10^-19 J
B.
1.32 x 10^-19 J
C.
2.48 x 10^-19 J
D.
4.97 x 10^-19 J
Show solution
Solution
Energy (E) = h * frequency = 6.626 x 10^-34 J·s * 5 x 10^14 Hz = 3.31 x 10^-19 J.
Correct Answer:
A
— 3.31 x 10^-19 J
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Q. What is the equation of a circle with center at (2, -3) and radius 4? (2022)
A.
(x-2)² + (y+3)² = 16
B.
(x+2)² + (y-3)² = 16
C.
(x-2)² + (y-3)² = 16
D.
(x+2)² + (y+3)² = 16
Show solution
Solution
The standard form of a circle's equation is (x-h)² + (y-k)² = r². Here, h=2, k=-3, r=4. Thus, (x-2)² + (y+3)² = 16.
Correct Answer:
A
— (x-2)² + (y+3)² = 16
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Q. What is the equation of a circle with center at (3, -2) and radius 4? (2023)
A.
(x-3)² + (y+2)² = 16
B.
(x+3)² + (y-2)² = 16
C.
(x-3)² + (y-2)² = 16
D.
(x+3)² + (y+2)² = 16
Show solution
Solution
The standard equation of a circle is (x-h)² + (y-k)² = r². Here, h=3, k=-2, r=4. Thus, (x-3)² + (y+2)² = 16.
Correct Answer:
A
— (x-3)² + (y+2)² = 16
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Q. What is the equation of a circle with center at (3, -2) and radius 5? (2022)
A.
(x-3)² + (y+2)² = 25
B.
(x+3)² + (y-2)² = 25
C.
(x-3)² + (y-2)² = 25
D.
(x+3)² + (y+2)² = 25
Show solution
Solution
The standard form of a circle's equation is (x-h)² + (y-k)² = r². Here, h=3, k=-2, r=5, so (x-3)² + (y+2)² = 25.
Correct Answer:
A
— (x-3)² + (y+2)² = 25
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Q. What is the equation of the circle with center at (2, -3) and radius 5?
A.
(x-2)² + (y+3)² = 25
B.
(x+2)² + (y-3)² = 25
C.
(x-2)² + (y-3)² = 25
D.
(x+2)² + (y+3)² = 25
Show solution
Solution
Standard form of a circle: (x-h)² + (y-k)² = r². Here, h=2, k=-3, r=5.
Correct Answer:
A
— (x-2)² + (y+3)² = 25
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Q. What is the equation of the directrix of the parabola x^2 = 12y?
A.
y = 3
B.
y = -3
C.
y = 6
D.
y = -6
Show solution
Solution
The directrix of the parabola x^2 = 4py is given by y = -p. Here, p = 3, so the directrix is y = -3.
Correct Answer:
B
— y = -3
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Q. What is the equation of the line parallel to y = 3x + 2 that passes through the point (4, 1)? (2020)
A.
y = 3x - 11
B.
y = 3x + 1
C.
y = 3x + 2
D.
y = 3x - 2
Show solution
Solution
Since parallel lines have the same slope, the equation is y - 1 = 3(x - 4) which simplifies to y = 3x - 11.
Correct Answer:
A
— y = 3x - 11
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Q. What is the equation of the line parallel to y = 3x + 4 that passes through the point (1, 2)? (2020)
A.
y = 3x - 1
B.
y = 3x + 1
C.
y = 3x + 2
D.
y = 3x - 2
Show solution
Solution
Parallel lines have the same slope. Using point-slope form: y - 2 = 3(x - 1) gives y = 3x - 1.
Correct Answer:
A
— y = 3x - 1
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Q. What is the equation of the line parallel to y = 3x - 4 that passes through the point (2, 1)? (2020)
A.
y = 3x - 5
B.
y = 3x + 1
C.
y = 3x - 1
D.
y = 3x + 4
Show solution
Solution
Since parallel lines have the same slope, the equation is y - 1 = 3(x - 2) which simplifies to y = 3x - 5.
Correct Answer:
C
— y = 3x - 1
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Q. What is the equation of the line that is perpendicular to y = 3x + 2 and passes through the point (1, 1)? (2022)
A.
y = -1/3x + 4/3
B.
y = 3x - 2
C.
y = -3x + 4
D.
y = 1/3x + 2/3
Show solution
Solution
The slope of the perpendicular line is -1/3. Using point-slope form: y - 1 = -1/3(x - 1) gives y = -1/3x + 4/3.
Correct Answer:
A
— y = -1/3x + 4/3
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Q. What is the equation of the line that is perpendicular to y = 3x + 4 and passes through the point (1, 1)? (2022)
A.
y - 1 = -1/3(x - 1)
B.
y - 1 = 3(x - 1)
C.
y - 1 = 3/1(x - 1)
D.
y - 1 = -3(x - 1)
Show solution
Solution
The slope of the perpendicular line is -1/3. Using point-slope form: y - 1 = -1/3(x - 1).
Correct Answer:
A
— y - 1 = -1/3(x - 1)
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Q. What is the equation of the line that passes through the origin and has a slope of -4? (2023)
A.
y = -4x
B.
y = 4x
C.
y = -x/4
D.
y = 1/4x
Show solution
Solution
Using the slope-intercept form y = mx + b, with m = -4 and b = 0, the equation is y = -4x.
Correct Answer:
A
— y = -4x
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Q. What is the equation of the line that passes through the origin and has a slope of -3? (2022)
A.
y = -3x
B.
y = 3x
C.
y = -x/3
D.
y = 1/3x
Show solution
Solution
The equation of a line through the origin with slope m is y = mx. Thus, y = -3x.
Correct Answer:
A
— y = -3x
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Q. What is the equivalent resistance of two resistors of 4 ohms and 6 ohms connected in series?
A.
10 ohms
B.
24 ohms
C.
2.4 ohms
D.
0.67 ohms
Show solution
Solution
In series, the equivalent resistance is the sum: R_eq = R1 + R2 = 4 Ω + 6 Ω = 10 Ω.
Correct Answer:
A
— 10 ohms
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Q. What is the equivalent resistance of two resistors of 4 ohms and 6 ohms in series?
A.
10 ohms
B.
24 ohms
C.
2.4 ohms
D.
0.67 ohms
Show solution
Solution
In series, the equivalent resistance is the sum: R_eq = R1 + R2 = 4 Ω + 6 Ω = 10 Ω.
Correct Answer:
A
— 10 ohms
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Q. What is the equivalent resistance of two resistors, R1 = 4Ω and R2 = 6Ω, in parallel? (2022)
A.
2.4Ω
B.
10Ω
C.
24Ω
D.
1.5Ω
Show solution
Solution
The formula for equivalent resistance in parallel is 1/R_eq = 1/R1 + 1/R2. Thus, 1/R_eq = 1/4 + 1/6 = 5/12, so R_eq = 12/5 = 2.4Ω.
Correct Answer:
A
— 2.4Ω
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Q. What is the equivalent resistance of two resistors, R1 and R2, in parallel? (2022)
A.
R1 + R2
B.
R1 * R2 / (R1 + R2)
C.
1 / (1/R1 + 1/R2)
D.
R1 - R2
Show solution
Solution
The formula for equivalent resistance (R_eq) of two resistors in parallel is given by 1 / (1/R1 + 1/R2).
Correct Answer:
C
— 1 / (1/R1 + 1/R2)
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Q. What is the estimated temperature at the Earth's inner core?
A.
4000°C
B.
5000°C
C.
6000°C
D.
7000°C
Show solution
Solution
The temperature at the Earth's inner core is estimated to be around 6000°C.
Correct Answer:
C
— 6000°C
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Q. What is the expansion of (2x - 3)²? (2022)
A.
4x² - 9
B.
4x² - 12x + 9
C.
4x² + 12x + 9
D.
4x² - 6x
Show solution
Solution
(2x - 3)² = 4x² - 12x + 9 by the square of a binomial.
Correct Answer:
B
— 4x² - 12x + 9
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Q. What is the expansion of (2x - 3y)²?
A.
4x² - 9y²
B.
4x² - 12xy + 9y²
C.
4x² + 9y²
D.
4x² + 12xy + 9y²
Show solution
Solution
(2x - 3y)² = 4x² - 12xy + 9y² by applying the square of a binomial.
Correct Answer:
B
— 4x² - 12xy + 9y²
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Q. What is the expansion of (x + 2)(x - 2)?
A.
x² - 4
B.
x² + 4
C.
2x² - 4
D.
x² - 2
Show solution
Solution
(x + 2)(x - 2) = x² - 2² = x² - 4 by the difference of squares.
Correct Answer:
A
— x² - 4
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Q. What is the first derivative of f(x) = ln(x)? (2019)
A.
1/x
B.
x
C.
ln(x)
D.
e^x
Show solution
Solution
The derivative f'(x) = 1/x.
Correct Answer:
A
— 1/x
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Q. What is the first derivative of f(x) = tan(x)? (2021)
A.
sec^2(x)
B.
cos^2(x)
C.
sin^2(x)
D.
csc^2(x)
Show solution
Solution
The derivative of f(x) = tan(x) is f'(x) = sec^2(x).
Correct Answer:
A
— sec^2(x)
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Q. What is the focal length of a diverging lens if the image distance is -15 cm and the object distance is -10 cm? (2023)
A.
-30 cm
B.
-20 cm
C.
-15 cm
D.
-10 cm
Show solution
Solution
Using the lens formula 1/f = 1/v - 1/u, we find f = -20 cm.
Correct Answer:
B
— -20 cm
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