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 total capacitance of two capacitors of 3 µF and 6 µF in parallel?
A.
9 µF
B.
2 µF
C.
18 µF
D.
1.5 µF
Show solution
Solution
In parallel, the total capacitance is the sum: C_total = C1 + C2 = 3 µF + 6 µF = 9 µF.
Correct Answer:
A
— 9 µF
Learn More →
Q. What is the total capacitance of two capacitors of 4 microfarads and 6 microfarads connected in series? (2019)
A.
2.4 microfarads
B.
10 microfarads
C.
24 microfarads
D.
1.5 microfarads
Show solution
Solution
For capacitors in series, 1/C_eq = 1/C1 + 1/C2. Thus, 1/C_eq = 1/4 + 1/6 = 5/12. Therefore, C_eq = 2.4 microfarads.
Correct Answer:
A
— 2.4 microfarads
Learn More →
Q. What is the total capacitance of two capacitors, C1 = 3μF and C2 = 6μF, connected in series? (2022)
A.
2μF
B.
9μF
C.
1.5μF
D.
18μF
Show solution
Solution
The formula for total capacitance in series is 1/C_eq = 1/C1 + 1/C2. Thus, 1/C_eq = 1/3 + 1/6 = 1/2, so C_eq = 2μF.
Correct Answer:
A
— 2μF
Learn More →
Q. What is the total current in a parallel circuit with three branches carrying 2 A, 3 A, and 5 A respectively?
A.
10 A
B.
5 A
C.
3 A
D.
2 A
Show solution
Solution
In a parallel circuit, the total current is the sum of the currents in each branch: I_total = 2 A + 3 A + 5 A = 10 A.
Correct Answer:
A
— 10 A
Learn More →
Q. What is the total current in a parallel circuit with two branches carrying 3 A and 5 A?
A.
8 A
B.
15 A
C.
5 A
D.
3 A
Show solution
Solution
In a parallel circuit, the total current is the sum of the currents in each branch: I_total = I1 + I2 = 3 A + 5 A = 8 A.
Correct Answer:
A
— 8 A
Learn More →
Q. What is the total energy stored in a capacitor of capacitance 20 microfarads charged to 10 volts?
A.
1 joule
B.
0.1 joule
C.
0.01 joule
D.
0.5 joule
Show solution
Solution
Energy (E) stored in a capacitor is given by E = 0.5 * C * V^2. Thus, E = 0.5 * 20 x 10^-6 F * (10 V)^2 = 0.1 joules.
Correct Answer:
B
— 0.1 joule
Learn More →
Q. What is the total mechanical energy of a system if the potential energy is 50 J and the kinetic energy is 30 J?
A.
80 J
B.
50 J
C.
30 J
D.
20 J
Show solution
Solution
Total Mechanical Energy (TME) = Potential Energy + Kinetic Energy = 50 J + 30 J = 80 J.
Correct Answer:
A
— 80 J
Learn More →
Q. What is the total number of degrees in a triangle formed by the intersection of the medians of a triangle? (2021)
A.
90 degrees
B.
180 degrees
C.
270 degrees
D.
360 degrees
Show solution
Solution
The sum of the angles in any triangle is always 180 degrees.
Correct Answer:
B
— 180 degrees
Learn More →
Q. What is the total number of electrons in a neutral atom of carbon? (2019)
Show solution
Solution
A neutral carbon atom has an atomic number of 6, which means it has 6 electrons.
Correct Answer:
B
— 6
Learn More →
Q. What is the total number of members in the Rajya Sabha?
A.
250
B.
245
C.
300
D.
200
Show solution
Solution
The Rajya Sabha, the upper house of India's Parliament, has a total of 245 members.
Correct Answer:
B
— 245
Learn More →
Q. What is the total number of neutrons in an atom of carbon-14? (2021)
Show solution
Solution
Carbon-14 has an atomic number of 6 (6 protons). The mass number is 14, so the number of neutrons is 14 - 6 = 8.
Correct Answer:
B
— 7
Learn More →
Q. What is the total number of states in India as of 2021? (2021)
Show solution
Solution
As of 2021, India has 28 states.
Correct Answer:
A
— 28
Learn More →
Q. What is the total resistance in a series circuit with resistors of 4 ohms, 6 ohms, and 10 ohms? (2023)
A.
20 ohms
B.
10 ohms
C.
6 ohms
D.
4 ohms
Show solution
Solution
In a series circuit, total resistance (R_total) is the sum of individual resistances: R_total = 4 + 6 + 10 = 20 ohms.
Correct Answer:
A
— 20 ohms
Learn More →
Q. What is the trace of a 2x2 matrix A = [[3, 2], [1, 4]]? (2022)
Show solution
Solution
The trace of a matrix is the sum of its diagonal elements. For matrix A, the trace is 3 + 4 = 7.
Correct Answer:
B
— 6
Learn More →
Q. What is the trace of a 2x2 matrix A = [[a, b], [c, d]]? (2022)
A.
a + b + c + d
B.
a + d
C.
b + c
D.
a * d
Show solution
Solution
The trace of a matrix is the sum of its diagonal elements. For matrix A, the trace is a + d.
Correct Answer:
B
— a + d
Learn More →
Q. What is the trace of a 2x2 matrix [[a, b], [c, d]]? (2019)
A.
a + b
B.
b + c
C.
a + d
D.
c + d
Show solution
Solution
The trace of a matrix is the sum of its diagonal elements. For the matrix [[a, b], [c, d]], the trace is a + d.
Correct Answer:
C
— a + d
Learn More →
Q. What is the trace of a matrix?
A.
Sum of all elements
B.
Sum of diagonal elements
C.
Product of diagonal elements
D.
None of the above
Show solution
Solution
The trace of a matrix is defined as the sum of the elements on the main diagonal.
Correct Answer:
B
— Sum of diagonal elements
Learn More →
Q. What is the trace of a square matrix? (2022)
A.
Sum of all elements
B.
Product of diagonal elements
C.
Sum of diagonal elements
D.
Difference of diagonal elements
Show solution
Solution
The trace of a square matrix is defined as the sum of the elements on its main diagonal.
Correct Answer:
C
— Sum of diagonal elements
Learn More →
Q. What is the trace of the matrix H = [[2, 0, 1], [0, 3, 0], [1, 0, 4]]? (2019)
Show solution
Solution
The trace of a matrix is the sum of its diagonal elements. Here, trace(H) = 2 + 3 + 4 = 9.
Correct Answer:
C
— 7
Learn More →
Q. What is the trace of the matrix H = [[2, 1], [1, 3]]?
Show solution
Solution
The trace of a matrix is the sum of its diagonal elements. Here, trace(H) = 2 + 3 = 5.
Correct Answer:
B
— 4
Learn More →
Q. What is the trace of the matrix I = [[3, 2], [1, 4]]? (2023)
Show solution
Solution
The trace of a matrix is the sum of its diagonal elements. Here, trace(I) = 3 + 4 = 7.
Correct Answer:
B
— 6
Learn More →
Q. What is the trace of the matrix I = [[5, 2], [3, 4]]? (2022)
Show solution
Solution
The trace of a matrix is the sum of its diagonal elements. Thus, trace(I) = 5 + 4 = 9.
Correct Answer:
C
— 9
Learn More →
Q. What is the unit vector in the direction of vector A = 4i + 3j?
A.
(4/5)i + (3/5)j
B.
(3/4)i + (4/3)j
C.
(4/3)i + (3/4)j
D.
(3/5)i + (4/5)j
Show solution
Solution
Unit vector = A / |A| = (4i + 3j) / √(4^2 + 3^2) = (4i + 3j) / 5 = (4/5)i + (3/5)j.
Correct Answer:
A
— (4/5)i + (3/5)j
Learn More →
Q. What is the value of (1 + 2)^5 using the binomial theorem?
A.
32
B.
64
C.
128
D.
256
Show solution
Solution
Using the binomial theorem, (1 + 2)^5 = 3^5 = 243.
Correct Answer:
B
— 64
Learn More →
Q. What is the value of (1 + i)²?
A.
2i
B.
2
C.
0
D.
1 + 2i
Show solution
Solution
(1 + i)² = 1² + 2(1)(i) + i² = 1 + 2i - 1 = 2i.
Correct Answer:
B
— 2
Learn More →
Q. What is the value of (2 + 3i) + (4 - 2i)?
A.
6 + i
B.
6 + i
C.
2 + 5i
D.
8 + i
Show solution
Solution
To add the complex numbers, we combine the real parts and the imaginary parts: (2 + 4) + (3 - 2)i = 6 + 1i = 6 + i.
Correct Answer:
A
— 6 + i
Learn More →
Q. What is the value of (2x + 3)(2x - 3)?
A.
4x² - 9
B.
4x² + 9
C.
4x² - 6x + 9
D.
4x² + 6x - 9
Show solution
Solution
(2x + 3)(2x - 3) = 4x² - 9.
Correct Answer:
A
— 4x² - 9
Learn More →
Q. What is the value of (2x + 3)²?
A.
4x² + 9
B.
4x² + 12x + 9
C.
4x² + 6x + 9
D.
2x² + 6x + 9
Show solution
Solution
(2x + 3)² = 4x² + 12x + 9 by expanding the square of a binomial.
Correct Answer:
B
— 4x² + 12x + 9
Learn More →
Q. What is the value of (3/4) + (1/2)?
A.
1
B.
5/4
C.
3/2
D.
7/4
Show solution
Solution
Convert 1/2 to 2/4, then (3/4) + (2/4) = 5/4.
Correct Answer:
B
— 5/4
Learn More →
Q. What is the value of (3x + 4)(3x - 4)?
A.
9x² - 16
B.
9x² + 16
C.
12x² - 16
D.
12x² + 16
Show solution
Solution
(3x + 4)(3x - 4) = (3x)² - 4² = 9x² - 16.
Correct Answer:
A
— 9x² - 16
Learn More →
Showing 3151 to 3180 of 3872 (130 Pages)
