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Mathematics (NDA)

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Q. What is the derivative of f(x) = 3x^4 - 5x^2 + 2? (2021)
  • A. 12x^3 - 10x
  • B. 12x^3 - 5
  • C. 6x^3 - 5x
  • D. 3x^3 - 5
Q. What is the derivative of f(x) = 3x^4 - 5x^3 + 2x - 7?
  • A. 12x^3 - 15x^2 + 2
  • B. 12x^3 - 15x^2 - 2
  • C. 3x^3 - 5x^2 + 2
  • D. 3x^3 - 5x^2 - 2
Q. What is the derivative of f(x) = 4/x? (2022)
  • A. -4/x^2
  • B. 4/x^2
  • C. -4/x
  • D. 4/x
Q. What is the derivative of f(x) = 5x^2 - 4x + 3?
  • A. 10x - 4
  • B. 10x + 4
  • C. 5x - 4
  • D. 5x + 4
Q. What is the derivative of f(x) = 5x^3 - 2x + 1? (2023)
  • A. 15x^2 - 2
  • B. 5x^2 - 2
  • C. 15x^3 - 2
  • D. 5x^3 - 2
Q. What is the derivative of f(x) = 5x^5 - 3x + 7? (2020)
  • A. 25x^4 - 3
  • B. 15x^4 - 3
  • C. 5x^4 - 3
  • D. 20x^4 - 3
Q. What is the derivative of f(x) = 7x^2 + 2x - 5? (2023)
  • A. 14x + 2
  • B. 14x - 2
  • C. 7x + 2
  • D. 2x - 5
Q. What is the derivative of f(x) = e^x * ln(x)? (2022)
  • A. e^x * ln(x)
  • B. e^x/x
  • C. e^x * (1 + ln(x))
  • D. e^x * ln(x)/x
Q. What is the derivative of f(x) = e^x * x^2?
  • A. e^x * (2x + 1)
  • B. e^x * (x^2 + 2)
  • C. e^x * 2x
  • D. 2e^x * x
Q. What is the derivative of f(x) = ln(x)? (2019)
  • A. 1/x
  • B. x
  • C. e^x
  • D. x^2
Q. What is the derivative of f(x) = x^2 * sin(x)? (2023)
  • A. 2x * sin(x) + x^2 * cos(x)
  • B. 2x * cos(x) + x^2 * sin(x)
  • C. 2x * sin(x) - x^2 * cos(x)
  • D. x^2 * sin(x) + 2x * cos(x)
Q. What is the derivative of f(x) = x^3 * e^x?
  • A. 3x^2 * e^x + x^3 * e^x
  • B. x^3 * e^x
  • C. 3x^2 * e^x
  • D. x^3 * e^(x+1)
Q. What is the derivative of f(x) = x^3 * ln(x)? (2023)
  • A. 3x^2 * ln(x) + x^2
  • B. 3x^2 * ln(x) + x^3/x
  • C. 3x^2 * ln(x) + 3x^2
  • D. 3x^2 * ln(x) + 1
Q. What is the derivative of f(x) = x^3 - 4x + 7? (2021)
  • A. 3x^2 - 4
  • B. 3x^2 + 4
  • C. x^2 - 4
  • D. 3x^2 - 7
Q. What is the derivative of f(x) = x^3 - 6x^2 + 9x?
  • A. 3x^2 - 12x + 9
  • B. 3x^2 - 6x + 9
  • C. 6x - 12
  • D. 3x^2 - 9
Q. What is the derivative of f(x) = x^4 - 6x^2 + 9? (2022)
  • A. 4x^3 - 12x
  • B. 4x^3 + 12x
  • C. 2x^3 - 6x
  • D. 2x^3 + 6x
Q. What is the derivative of the function f(x) = 3x^2 + 5x - 7? (2021)
  • A. 3x + 5
  • B. 6x + 5
  • C. 6x - 5
  • D. 3x^2 + 5
Q. What is the determinant of a 1x1 matrix [[5]]? (2021)
  • A. 0
  • B. 5
  • C. 10
  • D. 1
Q. What is the determinant of a 2x2 matrix A = [[a, b], [c, d]]? (2021)
  • A. ad - bc
  • B. ab + cd
  • C. ac + bd
  • D. ad + bc
Q. What is the determinant of a 2x2 matrix [[a, b], [c, d]]? (2020)
  • A. ad - bc
  • B. ab + cd
  • C. ac - bd
  • D. bc - ad
Q. What is the determinant of the matrix E = [[1, 2, 3], [4, 5, 6], [7, 8, 9]]?
  • A. 0
  • B. 1
  • C. 2
  • D. 3
Q. What is the determinant of the matrix H = [[1, 1, 1], [1, 2, 3], [1, 3, 6]]?
  • A. 0
  • B. 1
  • C. 2
  • D. 3
Q. What is the determinant of the matrix \( E = \begin{pmatrix} 1 & 1 & 1 \\ 1 & 2 & 3 \\ 1 & 3 & 6 \end{pmatrix} \)? (2023)
  • A. 0
  • B. 1
  • C. 2
  • D. 3
Q. What is the determinant of the matrix \( J = \begin{pmatrix} 5 & 6 \\ 7 & 8 \end{pmatrix} \)? (2021)
  • A. -2
  • B. 2
  • C. 3
  • D. 4
Q. What is the directrix of the parabola defined by the equation y^2 = 20x?
  • A. x = -5
  • B. x = 5
  • C. y = 5
  • D. y = -5
Q. What is the distance between the points (0, 0) and (3, 4)?
  • A. 5
  • B. 4
  • C. 3
  • D. 6
Q. What is the distance between the points (0, 0) and (8, 6)?
  • A. 10
  • B. 12
  • C. 14
  • D. 8
Q. What is the distance between the points (0, 0) and (x, y) where x = 3 and y = 4? (2022)
  • A. 5
  • B. 4
  • C. 3
  • D. 6
Q. What is the distance between the points (2, 3) and (6, 7)?
  • A. 5
  • B. 6
  • C. 4
  • D. 7
Q. What is the distance between the points (3, 2) and (3, -2)?
  • A. 4
  • B. 5
  • C. 6
  • D. 3
Showing 1231 to 1260 of 1593 (54 Pages)

Mathematics (NDA) MCQ & Objective Questions

Mathematics plays a crucial role in the NDA exam, as it tests your analytical and problem-solving skills. Practicing Mathematics (NDA) MCQ and objective questions is essential for scoring better in this competitive environment. By focusing on practice questions, you can identify important questions and enhance your exam preparation effectively.

What You Will Practise Here

  • Algebra: Understanding equations, inequalities, and functions.
  • Geometry: Key concepts of shapes, angles, and theorems.
  • Trigonometry: Important ratios, identities, and applications.
  • Statistics: Basics of mean, median, mode, and standard deviation.
  • Probability: Fundamental principles and problem-solving techniques.
  • Calculus: Introduction to limits, derivatives, and integrals.
  • Mensuration: Formulas for areas and volumes of various shapes.

Exam Relevance

The Mathematics (NDA) syllabus is relevant not only for the NDA exam but also for various other competitive exams like CBSE, State Boards, NEET, and JEE. In these exams, you will often encounter multiple-choice questions that test your understanding of mathematical concepts. Common question patterns include direct application of formulas, problem-solving scenarios, and conceptual understanding, making it essential to practice regularly.

Common Mistakes Students Make

  • Misinterpreting the question: Students often overlook key details in the problem statement.
  • Formula errors: Forgetting or misapplying mathematical formulas can lead to incorrect answers.
  • Calculation mistakes: Simple arithmetic errors can cost valuable marks.
  • Neglecting units: Failing to consider units in problems involving measurements.
  • Rushing through questions: Students may skip steps or fail to double-check their work under time pressure.

FAQs

Question: What are the best ways to prepare for Mathematics (NDA) MCQs?
Answer: Regular practice with objective questions, understanding key concepts, and solving previous years' papers are effective strategies.

Question: How can I improve my speed in solving Mathematics (NDA) questions?
Answer: Time yourself while practicing and focus on solving simpler problems quickly to build speed and confidence.

Start solving Mathematics (NDA) MCQs today to test your understanding and boost your confidence for the exams. Remember, consistent practice is the key to success!

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