Mathematics (NDA)

Algebra Coordinate Geometry Differential Calculus Geometry Integral Calculus & Differential Equations Matrices & Determinants Statistics & Probability Trigonometry Vector Algebra

Q. What is the measure of each angle in a regular quadrilateral? (2019)

A. 90 degrees
B. 60 degrees
C. 120 degrees
D. 180 degrees

Solution

A regular quadrilateral is a square, and each angle in a square measures 90 degrees.

Correct Answer: A — 90 degrees

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Q. What is the measure of each angle in a square? (2023)

A. 90 degrees
B. 60 degrees
C. 120 degrees
D. 45 degrees

Solution

Each angle in a square measures 90 degrees.

Correct Answer: A — 90 degrees

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Q. What is the measure of each angle in a triangle if one angle is 40 degrees and the other is 60 degrees? (2019)

A. 80 degrees
B. 100 degrees
C. 120 degrees
D. 140 degrees

Solution

The sum of angles in a triangle is always 180 degrees. If one angle is 40 degrees and another is 60 degrees, the third angle is 180 - (40 + 60) = 80 degrees.

Correct Answer: A — 80 degrees

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Q. What is the measure of each angle in a triangle if one angle is 50 degrees and the other is 60 degrees? (2019)

A. 70 degrees
B. 80 degrees
C. 90 degrees
D. 100 degrees

Solution

The sum of angles in a triangle is 180 degrees. Therefore, the third angle = 180 - (50 + 60) = 70 degrees.

Correct Answer: A — 70 degrees

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Q. What is the measure of the exterior angle of a triangle if the interior angles are 50 degrees and 60 degrees? (2021)

A. 70 degrees
B. 80 degrees
C. 90 degrees
D. 100 degrees

Solution

The exterior angle of a triangle is equal to the sum of the two opposite interior angles. Therefore, the exterior angle = 50 + 60 = 110 degrees.

Correct Answer: B — 80 degrees

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Q. What is the measure of the exterior angle of a triangle if the two interior opposite angles are 50 degrees and 60 degrees? (2023)

A. 110 degrees
B. 100 degrees
C. 120 degrees
D. 130 degrees

Solution

The exterior angle of a triangle is equal to the sum of the two opposite interior angles. Therefore, the exterior angle = 50 + 60 = 110 degrees.

Correct Answer: A — 110 degrees

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Q. What is the median of the following data set: 12, 15, 14, 10, 18? (2023)

A. 12
B. 14
C. 15
D. 18

Solution

First, arrange the data in ascending order: 10, 12, 14, 15, 18. The median is the middle value, which is 14.

Correct Answer: B — 14

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Q. What is the median of the following data set: 3, 7, 9, 5, 11?

A. 5
B. 7
C. 9
D. 11

Solution

First, arrange the data in ascending order: 3, 5, 7, 9, 11. The median is the middle value, which is 7.

Correct Answer: B — 7

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Q. What is the median of the following data set: 5, 3, 8, 6, 2, 4?

A. 4
B. 5
C. 5.5
D. 6

Solution

Arrange the numbers: 2, 3, 4, 5, 6, 8. The median is the average of the 3rd and 4th values: (4 + 5) / 2 = 4.5.

Correct Answer: C — 5.5

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Q. What is the median of the following data: 1, 2, 3, 4, 5, 6, 7, 8?

A. 4
B. 4.5
C. 5
D. 6

Solution

Arrange the numbers: 1, 2, 3, 4, 5, 6, 7, 8. The median is the average of the 4th and 5th values: (4 + 5) / 2 = 4.5.

Correct Answer: B — 4.5

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Q. What is the median of the following numbers: 10, 20, 30, 40, 50, 60, 70? (2022)

A. 30
B. 40
C. 50
D. 60

Solution

The numbers are in order. The median is the 4th number, which is 40.

Correct Answer: B — 40

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Q. What is the median of the following numbers: 22, 18, 25, 30, 20? (2021)

A. 20
B. 22
C. 25
D. 30

Solution

Arranging the numbers: 18, 20, 22, 25, 30. The median is the middle number, which is 22.

Correct Answer: A — 20

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Q. What is the median of the following numbers: 8, 3, 5, 12, 7, 10? (2023)

A. 5
B. 7
C. 8
D. 10

Solution

Arrange the numbers: 3, 5, 7, 8, 10, 12. The median is the average of the 3rd and 4th numbers: (7 + 8) / 2 = 7.5.

Correct Answer: C — 8

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Q. What is the median of the following set of numbers: 3, 7, 5, 9, 1? (2021)

A. 3
B. 5
C. 7
D. 9

Solution

To find the median, first arrange the numbers in ascending order: 1, 3, 5, 7, 9. The median is the middle number, which is 5.

Correct Answer: B — 5

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Q. What is the median of the following set: 4, 1, 7, 3, 9, 2? (2022)

A. 3
B. 4
C. 5
D. 6

Solution

Arranging the numbers: 1, 2, 3, 4, 7, 9. The median is the average of the 3rd and 4th numbers: (3 + 4) / 2 = 3.5.

Correct Answer: A — 3

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Q. What is the middle term in the expansion of (x + 2)^6?

A. 48
B. 72
C. 80
D. 64

Solution

The middle term in the expansion of (x + 2)^6 is the 4th term, which is C(6, 3)(x)^3(2)^3 = 20 * x^3 * 8 = 160x^3. The coefficient is 160.

Correct Answer: C — 80

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Q. What is the minimum value of f(x) = 2x^2 - 8x + 10? (2021)

A. 1
B. 2
C. 3
D. 4

Solution

The minimum occurs at x = -b/(2a) = 8/(2*2) = 2. f(2) = 2(2^2) - 8(2) + 10 = 2.

Correct Answer: A — 1

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Q. What is the minimum value of f(x) = 4x^2 - 16x + 15? (2022)

A. 1
B. 2
C. 3
D. 4

Solution

The minimum occurs at x = -b/(2a) = 16/(2*4) = 2. f(2) = 4(2^2) - 16(2) + 15 = 1.

Correct Answer: B — 2

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Q. What is the minimum value of the function f(x) = 2x^2 + 4x + 1? (2023)

A. 0
B. 1
C. 2
D. 3

Solution

The vertex is at x = -4/(2*2) = -1. The minimum value is f(-1) = 2(-1)^2 + 4(-1) + 1 = -1.

Correct Answer: B — 1

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Q. What is the minimum value of the function f(x) = 3x^2 - 12x + 7? (2019)

A. -5
B. -1
C. 1
D. 5

Solution

The minimum occurs at x = -b/(2a) = 12/(2*3) = 2. f(2) = 3(2^2) - 12(2) + 7 = 1.

Correct Answer: B — -1

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Q. What is the mode of the following data set: 2, 3, 4, 2, 5, 2, 3? (2023)

A. 2
B. 3
C. 4
D. 5

Solution

Mode is the number that appears most frequently. Here, 2 appears 3 times.

Correct Answer: A — 2

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Q. What is the mode of the following data set: 2, 3, 4, 4, 5, 5, 5, 6? (2023)

A. 4
B. 5
C. 6
D. 3

Solution

Mode is the number that appears most frequently. Here, 5 appears 3 times.

Correct Answer: B — 5

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Q. What is the mode of the following data set: 3, 7, 3, 2, 5, 3, 8? (2023)

A. 2
B. 3
C. 5
D. 7

Solution

The mode is the number that appears most frequently. Here, 3 appears 3 times, which is more than any other number.

Correct Answer: B — 3

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Q. What is the mode of the following data set: 4, 1, 2, 4, 3, 4, 2? (2023)

A. 1
B. 2
C. 3
D. 4

Solution

The number 4 appears most frequently (3 times). Hence, mode = 4.

Correct Answer: D — 4

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Q. What is the mode of the following data set: 4, 1, 2, 4, 3, 4, 5? (2019)

A. 1
B. 2
C. 4
D. 5

Solution

The mode is the number that appears most frequently. Here, 4 appears 3 times, so the mode is 4.

Correct Answer: C — 4

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Q. What is the mode of the following data set: 5, 6, 7, 5, 8, 5, 9?

A. 5
B. 6
C. 7
D. 8

Solution

Mode is the number that appears most frequently. Here, 5 appears four times.

Correct Answer: A — 5

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Q. What is the mode of the following numbers: 1, 1, 2, 3, 3, 3, 4, 4?

A. 1
B. 2
C. 3
D. 4

Solution

The mode is 3, as it appears 3 times, more than any other number.

Correct Answer: C — 3

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Q. What is the mode of the following numbers: 1, 2, 2, 3, 4, 4, 4, 5?

A. 1
B. 2
C. 3
D. 4

Solution

The mode is 4, as it appears 3 times, which is more than any other number.

Correct Answer: D — 4

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Q. What is the mode of the following numbers: 2, 3, 3, 4, 4, 5, 5, 5?

A. 2
B. 3
C. 4
D. 5

Solution

The mode is 5, as it appears 3 times, which is more than any other number.

Correct Answer: D — 5

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Q. What is the mode of the following numbers: 4, 4, 5, 6, 6, 7, 8?

A. 4
B. 5
C. 6
D. 7

Solution

The mode is 4, as it appears 2 times, which is more than any other number.

Correct Answer: A — 4

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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!

Mathematics (NDA)

Mathematics (NDA) MCQ & Objective Questions

What You Will Practise Here

Exam Relevance

Common Mistakes Students Make

FAQs

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