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Mathematics (NDA)

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Q. If z1 = 2 + 2i and z2 = 1 - i, find z1 + z2.
  • A. 3 + i
  • B. 1 + i
  • C. 3 - i
  • D. 1 - i
Q. If z1 = 2 + 2i and z2 = 2 - 2i, what is the value of z1 * z2? (2019)
  • A. 8
  • B. 0
  • C. 4
  • D. 4 + 0i
Q. If z1 = 2 + 2i and z2 = 3 - i, find z1 + z2. (2023)
  • A. 5 + i
  • B. 5 + 3i
  • C. 1 + i
  • D. 1 - i
Q. If \( C = \begin{pmatrix} 1 & 0 & 2 \\ 0 & 1 & 3 \\ 0 & 0 & 1 \end{pmatrix} \), what is the determinant of C? (2022)
  • A. 0
  • B. 1
  • C. 2
  • D. 3
Q. If \( G = \begin{pmatrix} 0 & 2 & 1 \\ 1 & 0 & 3 \\ 4 & 1 & 0 \end{pmatrix} \), what is the determinant of G? (2020)
  • A. -10
  • B. 10
  • C. 0
  • D. 5
Q. In a class of 15 students, their ages are: 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 14, 15, 16, 17, 18. What is the median age? (2023)
  • A. 15
  • B. 16
  • C. 17
  • D. 18
Q. In a class of 30 students, 18 are boys and 12 are girls. If one student is selected at random, what is the probability that the student is a girl?
  • A. 2/5
  • B. 1/3
  • C. 1/2
  • D. 3/5
Q. In a class of 30 students, 18 are boys. What is the probability that a randomly selected student is a girl?
  • A. 1/3
  • B. 2/5
  • C. 1/2
  • D. 3/5
Q. In a class of 30 students, the average height is 160 cm. If the height of one student is 170 cm, what is the new average height after removing that student?
  • A. 159 cm
  • B. 160 cm
  • C. 161 cm
  • D. 162 cm
Q. In a class of 30 students, the marks obtained are as follows: 45, 50, 50, 55, 60, 60, 60, 70, 75. What is the mode of the marks? (2019)
  • A. 50
  • B. 60
  • C. 70
  • D. 75
Q. In a class of 5 students, their ages are 14, 16, 15, 18, and 17. What is the median age?
  • A. 15
  • B. 16
  • C. 17
  • D. 18
Q. In a class of 5 students, their ages are 16, 18, 17, 19, and 20. What is the median age? (2022)
  • A. 17
  • B. 18
  • C. 19
  • D. 20
Q. In a class, the ages of students are: 10, 12, 10, 11, 12, 10, 13. What is the mode of the ages?
  • A. 10
  • B. 11
  • C. 12
  • D. 13
Q. In a class, the marks obtained by students are: 45, 50, 50, 55, 60, 60, 60. What is the mode?
  • A. 45
  • B. 50
  • C. 55
  • D. 60
Q. In a class, the marks obtained by students are: 45, 55, 45, 60, 55, 45, 70. What is the mode of the marks?
  • A. 45
  • B. 55
  • C. 60
  • D. 70
Q. In a class, the marks obtained by students are: 45, 55, 45, 60, 70, 55, 55. What is the mode of the marks?
  • A. 45
  • B. 55
  • C. 60
  • D. 70
Q. In a class, the number of languages spoken by students are: 1, 2, 2, 3, 3, 4, 4, 4. What is the mode?
  • A. 1
  • B. 2
  • C. 3
  • D. 4
Q. In a class, the number of pets owned by students is recorded as follows: 0, 1, 2, 1, 3, 1, 2. What is the mode?
  • A. 0
  • B. 1
  • C. 2
  • D. 3
Q. In a class, the number of students who scored the following grades: A, A, B, B, B, C, C, D. What is the mode?
  • A. A
  • B. B
  • C. C
  • D. D
Q. In a data set of 10 numbers, if the numbers are arranged in ascending order, what is the median? (2020)
  • A. Average of 5th and 6th
  • B. 5th number
  • C. 6th number
  • D. Average of 1st and 10th
Q. In a data set of 10 numbers, the mode is 5. If the number 5 is replaced by 7, what will be the new mode? (2021)
  • A. 5
  • B. 7
  • C. No mode
  • D. Cannot be determined
Q. In a data set of 10 numbers, the numbers are: 2, 3, 4, 4, 5, 5, 5, 6, 7, 8. What is the mode of this data set?
  • A. 2
  • B. 4
  • C. 5
  • D. 6
Q. In a data set of 12 values: 1, 1, 2, 2, 3, 3, 4, 5, 5, 5, 6, 7, what is the mode? (2023)
  • A. 1
  • B. 2
  • C. 5
  • D. No mode
Q. In a data set of 7 values: 5, 3, 8, 6, 2, 4, 7, what is the median? (2021)
  • A. 4
  • B. 5
  • C. 6
  • D. 7
Q. In a data set of the numbers 3, 7, 3, 9, 5, 3, 8, what is the mode?
  • A. 3
  • B. 5
  • C. 7
  • D. 9
Q. In a data set, the numbers 3, 7, 7, 2, 5, 7, 8, 9, 2, 3 are given. What is the mode of this data set?
  • A. 2
  • B. 3
  • C. 7
  • D. 9
Q. In a data set, the numbers are 3, 7, 7, 2, 5, 7, 4. What is the mode of this data set?
  • A. 2
  • B. 3
  • C. 5
  • D. 7
Q. In a data set, the numbers are 3, 7, 7, 2, 5, 7, 8, 5. What is the mode of the data set?
  • A. 2
  • B. 5
  • C. 7
  • D. 8
Q. In a data set, the numbers are 3, 7, 7, 2, 5, 7, 8, 9. What is the mode of the data set?
  • A. 2
  • B. 5
  • C. 7
  • D. 9
Q. In a data set, the numbers are 3, 7, 7, 2, 5, 7, 8, 9. What is the mode of this data set?
  • A. 2
  • B. 5
  • C. 7
  • D. 9
Showing 871 to 900 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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