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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. For the function f(x) = { x^2, x < 2; 4, x = 2; 2x, x > 2 }, is f(x) continuous at x = 2?
  • A. Yes
  • B. No
  • C. Only left continuous
  • D. Only right continuous
Q. For the function f(x) = { x^2, x < 3; 9, x = 3; x + 3, x > 3 }, is f(x) continuous at x = 3?
  • A. Yes
  • B. No
  • C. Only left continuous
  • D. Only right continuous
Q. For the matrix D = [[4, 2], [1, 3]], find the inverse of D. (2022)
  • A. [[3, -2], [-1, 4]]
  • B. [[3, 2], [-1, 4]]
  • C. [[3, -2], [1, 4]]
  • D. [[4, -2], [-1, 3]]
Q. For the matrix J = [[0, 1], [1, 0]], what is J^2?
  • A. [[1, 0], [0, 1]]
  • B. [[0, 1], [1, 0]]
  • C. [[0, 0], [0, 0]]
  • D. [[1, 1], [1, 1]]
Q. For the matrix J = [[1, 2, 3], [0, 1, 4], [5, 6, 0]], find the determinant. (2023)
  • A. -24
  • B. 24
  • C. 0
  • D. 12
Q. For the matrix \( F = \begin{pmatrix} 2 & 1 \\ 3 & 4 \end{pmatrix} \), what is the value of the determinant? (2021)
  • A. 5
  • B. 6
  • C. 7
  • D. 8
Q. For the parabola defined by the equation x^2 = -12y, what is the direction in which it opens?
  • A. Upwards
  • B. Downwards
  • C. Left
  • D. Right
Q. For the parabola defined by the equation x^2 = 16y, what is the distance from the vertex to the focus?
  • A. 2
  • B. 4
  • C. 8
  • D. 16
Q. For the parabola defined by the equation x^2 = 16y, what is the length of the latus rectum?
  • A. 4
  • B. 8
  • C. 16
  • D. 2
Q. For the parabola defined by the equation y = -x^2 + 4x - 3, what is the y-intercept?
  • A. -3
  • B. 0
  • C. 3
  • D. 4
Q. For the polynomial x^3 - 3x^2 + 3x - 1, what is the nature of its roots? (2020)
  • A. All real and distinct
  • B. All real and equal
  • C. One real and two complex
  • D. All complex
Q. For the polynomial x^3 - 3x^2 + 3x - 1, what is the value of the sum of the roots? (2019)
  • A. 1
  • B. 3
  • C. 0
  • D. 2
Q. For the polynomial x^3 - 3x^2 + 3x - 1, which of the following is true about its roots?
  • A. All roots are real
  • B. All roots are complex
  • C. One root is real
  • D. Two roots are real
Q. For the quadratic equation 2x^2 + 4x + 2 = 0, what is the value of the discriminant? (2020)
  • A. 0
  • B. 4
  • C. 8
  • D. 16
Q. For the quadratic equation 2x^2 + 4x + k = 0 to have equal roots, what should be the value of k? (2020)
  • A. -4
  • B. 0
  • C. 4
  • D. 8
Q. For the quadratic equation 2x^2 + 4x + k = 0 to have real and equal roots, what is the condition on k? (2020)
  • A. k < 0
  • B. k = 0
  • C. k = 8
  • D. k > 8
Q. For the quadratic equation 2x^2 + 4x + k = 0 to have real roots, what must be the condition on k? (2019)
  • A. k > 4
  • B. k < 4
  • C. k >= 4
  • D. k <= 4
Q. For the quadratic equation 2x^2 + 4x - 6 = 0, what is the value of the discriminant? (2020)
  • A. 16
  • B. 4
  • C. 0
  • D. 36
Q. For the quadratic equation 2x^2 - 4x + k = 0 to have equal roots, what must be the value of k? (2019)
  • A. 0
  • B. 2
  • C. 4
  • D. 8
Q. For the quadratic equation 5x^2 + 3x - 2 = 0, what is the value of the roots using the quadratic formula? (2023)
  • A. -1, 2/5
  • B. 1, -2/5
  • C. 2, -1/5
  • D. 0, -2
Q. For the quadratic equation x^2 + 2px + p^2 - 4 = 0, what condition must p satisfy for the roots to be real? (2023)
  • A. p > 2
  • B. p < 2
  • C. p = 2
  • D. p >= 2
Q. For the quadratic equation x^2 + 2x + k = 0 to have real roots, what must be the condition on k? (2023)
  • A. k < 1
  • B. k > 1
  • C. k >= 1
  • D. k <= 1
Q. For the quadratic equation x^2 + 6x + 9 = 0, what type of roots does it have? (2019)
  • A. Real and distinct
  • B. Real and equal
  • C. Complex
  • D. None of the above
Q. For the quadratic equation x^2 + 6x + k = 0 to have distinct roots, what must be the condition on k? (2020)
  • A. k < 9
  • B. k = 9
  • C. k > 9
  • D. k ≤ 9
Q. For the quadratic equation x^2 + 6x + k = 0 to have real roots, what must be the condition on k? (2020)
  • A. k < 9
  • B. k = 9
  • C. k > 9
  • D. k ≤ 9
Q. For the quadratic equation x^2 + px + q = 0, if the roots are -2 and -3, what is the value of p? (2020)
  • A. 5
  • B. 6
  • C. 7
  • D. 8
Q. For the quadratic equation x^2 - 4x + 4 = 0, what type of roots does it have? (2019)
  • A. Real and distinct
  • B. Real and equal
  • C. Complex
  • D. None of the above
Q. For the quadratic equation x^2 - 6x + k = 0 to have one root equal to 3, what is the value of k? (2023)
  • A. 3
  • B. 6
  • C. 9
  • D. 12
Q. For the quadratic equation x^2 - 8x + 15 = 0, what are the roots? (2023)
  • A. 3 and 5
  • B. 2 and 6
  • C. 1 and 7
  • D. 4 and 4
Q. For vectors A = 2i + 3j and B = 5i + 6j, what is A · B?
  • A. 28
  • B. 30
  • C. 32
  • D. 26
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