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Mathematics (NDA)

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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)
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]
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
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
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)
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
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
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
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
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
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
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
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
Q. The magnitude of the vector A = 4i - 3j + 12k is:
  • A. 13
  • B. 14
  • C. 15
  • D. 16
Q. The mean of 10 numbers is 50. If one number is removed, the mean becomes 48. What is the removed number?
  • A. 52
  • B. 50
  • C. 48
  • D. 46
Q. The mean of 10, 20, 30, 40, and x is 25. What is the value of x? (2022)
  • A. 10
  • B. 15
  • C. 20
  • D. 25
Q. The mean of 4, 6, 8, and x is 7. What is the value of x?
  • A. 4
  • B. 6
  • C. 8
  • D. 10
Q. The mean of 5, 10, 15, 20, and x is 12. What is the value of x?
  • A. 5
  • B. 10
  • C. 15
  • D. 20
Q. The mean of 5, 10, 15, and 20 is what?
  • A. 10
  • B. 12.5
  • C. 15
  • D. 17.5
Q. The mean of 5, 10, 15, and x is 12. What is the value of x?
  • A. 8
  • B. 10
  • C. 12
  • D. 14
Q. The mean of 5, 15, 25, and x is 20. Find the value of x. (2023)
  • A. 20
  • B. 25
  • C. 30
  • D. 35
Q. The mean of 5, 15, and x is 10. What is the value of x? (2020)
  • A. 5
  • B. 10
  • C. 15
  • D. 20
Q. The mean of 6, 8, 10, and x is 9. What is the value of x? (2022)
  • A. 6
  • B. 8
  • C. 10
  • D. 12
Q. The mean of 7, 9, 11, 13, and x is 10. Find the value of x.
  • A. 5
  • B. 7
  • C. 9
  • D. 11
Q. The mean of 7, 9, 11, 13, and x is 10. What is the value of x?
  • A. 5
  • B. 7
  • C. 9
  • D. 11
Q. The mean of 7, 9, 11, and 13 is what? (2019)
  • A. 9
  • B. 10
  • C. 11
  • D. 12
Q. The mean of 8, 12, 16, and 20 is what? (2019)
  • A. 14
  • B. 15
  • C. 16
  • D. 17
Q. The mean of 8, 12, 16, and x is 14. Find the value of x.
  • A. 10
  • B. 12
  • C. 14
  • D. 16
Q. The mean of a data set is 10 and the variance is 4. What is the standard deviation? (2019)
  • A. 2
  • B. 4
  • C. 8
  • D. 10
Q. The mean of a set of numbers is 15. If one number is removed, the mean becomes 12. What was the removed number?
  • A. 18
  • B. 20
  • C. 24
  • D. 30
Showing 1081 to 1110 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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