Defence Exams Preparation Resources | Soulshift

My Learning Cart

Defence Exams

Download Q&A

Defence Exams MCQ & Objective Questions

Defence Exams play a crucial role in shaping the future of aspiring candidates in India. These exams not only assess knowledge but also test the ability to apply concepts in real-world scenarios. Practicing MCQs and objective questions is essential for effective exam preparation, as it helps students identify important questions and enhances their understanding of key topics.

What You Will Practise Here

Fundamentals of Defence Studies
Key Historical Events and Their Impact
Important Defence Policies and Strategies
Current Affairs Related to National Security
Basic Concepts of Military Operations
Understanding Defence Technologies
Analysing Defence Budget and Expenditure

Exam Relevance

The topics covered in Defence Exams are highly relevant across various educational boards, including CBSE and State Boards, as well as competitive exams like NEET and JEE. Students can expect questions that focus on historical events, current affairs, and fundamental concepts related to defence. Common question patterns include multiple-choice questions that assess both theoretical knowledge and practical application.

Common Mistakes Students Make

Overlooking current affairs, which are often integrated into exam questions.
Confusing similar historical events or dates, leading to incorrect answers.
Neglecting the importance of definitions and key terms in objective questions.
Relying solely on rote memorization instead of understanding concepts.

FAQs

Question: What types of questions can I expect in Defence Exams?
Answer: You can expect a mix of MCQs covering historical events, current affairs, and fundamental concepts related to defence.

Question: How can I improve my performance in Defence Exams?
Answer: Regular practice of MCQs and understanding key concepts will significantly enhance your performance.

Start your journey towards success by solving practice MCQs today! Testing your understanding will not only boost your confidence but also prepare you for the important Defence Exams ahead.

NDA

Q. If the coordinates of a point are (x, y) and it lies on the line 2x + 3y = 12, what is the value of y when x = 2?

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

Solution

Substituting x = 2: 2(2) + 3y = 12 => 4 + 3y = 12 => 3y = 8 => y = 8/3 ≈ 2.67, closest is 3.

Correct Answer: B — 3

Q. If the coordinates of a point are (x, y) and it lies on the line 2x + 3y = 6, what is the value of y when x = 0? (2023)

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

Solution

Substituting x = 0 in 2(0) + 3y = 6 gives 3y = 6, so y = 2.

Correct Answer: B — 3

Q. If the coordinates of a point are (x, y) and it lies on the line 3x + 4y = 12, what is y when x = 0?

A. 3
B. 4
C. 2
D. 0

Solution

Substituting x = 0: 3(0) + 4y = 12 => 4y = 12 => y = 3.

Correct Answer: B — 4

Q. If the coordinates of point A are (1, 2) and point B are (4, 6), what is the slope of line AB?

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

Solution

Slope = (6-2)/(4-1) = 4/3.

Correct Answer: A — 2

Q. If the coordinates of point A are (2, 3) and point B are (4, 7), what is the slope of line AB?

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

Solution

Slope = (7-3)/(4-2) = 4/2 = 2.

Correct Answer: A — 2

Q. If the coordinates of the vertices of a triangle are (1, 2), (4, 6), and (7, 2), what is the length of the side opposite to the vertex (4, 6)? (2023)

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

Solution

Length = √[(1-7)² + (2-2)²] = √[36] = 6.

Correct Answer: B — 6

Q. If the cost of 5 kg of rice is Rs. 200, what is the cost of 8 kg of rice? (2020)

A. 320
B. 400
C. 360
D. 280

Solution

Cost per kg = 200 / 5 = 40. Cost of 8 kg = 40 * 8 = 320.

Correct Answer: A — 320

Q. If the cost of 5 kg of rice is Rs. 200, what is the cost of 8 kg? (2020)

A. 320
B. 400
C. 360
D. 280

Solution

Cost per kg = 200 / 5 = 40. Cost of 8 kg = 40 * 8 = 320.

Correct Answer: A — 320

Q. If the data set is 2, 4, 6, 8, 10, 12, what is the median? (2021)

A. 6
B. 7
C. 8
D. 9

Solution

The numbers are already in order. Since there are 6 numbers, the median is the average of the 3rd and 4th numbers: (6 + 8) / 2 = 7.

Correct Answer: C — 8

Q. If the data set is 8, 8, 9, 10, 10, 10, 11, 12, what is the mode?

A. 8
B. 9
C. 10
D. 11

Solution

The mode is 10, as it appears most frequently (three times) in the data set.

Correct Answer: C — 10

Q. If the data set is: 2, 4, 4, 4, 5, 5, 7, 9, what is the variance? (2022)

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

Solution

Mean = (2 + 4 + 4 + 4 + 5 + 5 + 7 + 9) / 8 = 5. Variance = [(2-5)² + (4-5)² + (4-5)² + (4-5)² + (5-5)² + (5-5)² + (7-5)² + (9-5)²] / 8 = 4.

Correct Answer: C — 6

Q. If the data set is: 5, 5, 5, 5, what is the variance? (2019)

A. 0
B. 1
C. 2
D. 5

Solution

All values are the same, so variance = 0.

Correct Answer: A — 0

Q. If the data set is: 5, 7, 9, 11, what is the variance? (2022)

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

Solution

Mean = (5 + 7 + 9 + 11) / 4 = 8. Variance = [(5-8)² + (7-8)² + (9-8)² + (11-8)²] / 4 = 5.

Correct Answer: A — 2

Q. If the depth of a river increases by 2 m and the width remains constant, how does this affect the volume of water if the length of the river is 1000 m? (2019)

A. 2000 m³
B. 1000 m³
C. 4000 m³
D. 3000 m³

Solution

Volume = Length × Width × Depth. If width is constant, Volume increase = 1000 m × Width × 2 m = 2000 m³.

Correct Answer: A — 2000 m³

Q. If the depth of a river increases by 2 m and the width remains constant, how does this affect the volume of water in a section of the river that is 100 m long? (2022)

A. 200 m³
B. 100 m³
C. 300 m³
D. 400 m³

Solution

Volume = Width x Depth x Length. Increase in volume = Width x 2 m x 100 m. Assuming width = 1 m, Volume = 1 m x 2 m x 100 m = 200 m³.

Correct Answer: A — 200 m³

Q. If the diagonals of a rhombus are 8 cm and 6 cm, what is the area of the rhombus? (2023)

A. 24 cm²
B. 48 cm²
C. 36 cm²
D. 18 cm²

Solution

Area = (d1 * d2) / 2 = (8 * 6) / 2 = 48 cm²

Correct Answer: A — 24 cm²

Q. If the diameter of a circle is 10 cm, what is its area? (2019)

A. 25π cm²
B. 50π cm²
C. 100π cm²
D. 75π cm²

Solution

Area = π * (radius)² = π * (5)² = 25π cm²

Correct Answer: A — 25π cm²

Q. If the diameter of a circle is 12 cm, what is the circumference? (2019)

A. 12π cm
B. 24π cm
C. 6π cm
D. 36π cm

Solution

Circumference = πd = π(12) = 12π cm.

Correct Answer: B — 24π cm

Q. If the diameter of a circle is 14 cm, what is its circumference? (2022)

A. 44 cm
B. 28 cm
C. 14 cm
D. 22 cm

Solution

The circumference of a circle is given by C = πd, where d is the diameter. Here, C = π * 14 cm ≈ 44 cm.

Correct Answer: A — 44 cm

Q. If the diameter of a circle is 20 cm, what is the circumference? (2019)

A. 20π cm
B. 40π cm
C. 10π cm
D. 30π cm

Solution

Circumference = πd = π(20) = 20π cm.

Correct Answer: B — 40π cm

Q. If the diameter of a circle is increased by 50%, what is the percentage increase in the area of the circle? (2021)

A. 50%
B. 75%
C. 100%
D. 125%

Solution

If diameter increases by 50%, radius increases by 25%. Area increases by (new area - old area)/old area = (1.25² - 1) × 100% = 56.25%.

Correct Answer: C — 100%

Q. If the diameter of a circle is measured as 10.0 cm with an uncertainty of 0.1 cm, what is the circumference with uncertainty?

A. 31.4 cm ± 0.3 cm
B. 31.4 cm ± 0.2 cm
C. 31.4 cm ± 0.1 cm
D. 31.4 cm ± 0.4 cm

Solution

Circumference = π * diameter = π * 10.0 cm ≈ 31.4 cm. Uncertainty in circumference = π * 0.1 cm ≈ 0.314 cm.

Correct Answer: A — 31.4 cm ± 0.3 cm

Q. If the diameter of a sphere is 10 cm, what is its volume? (2023)

A. 100π cm³
B. 200π cm³
C. 300π cm³
D. 400π cm³

Solution

The volume of a sphere is given by V = (4/3)πr³. The radius r = diameter/2 = 5 cm. Thus, V = (4/3)π(5)³ = (4/3)π(125) = 500/3 π cm³.

Correct Answer: B — 200π cm³

Q. If the equation x^2 + 5x + 6 = 0 has roots α and β, what is the value of αβ?

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

Solution

The product of the roots is given by c/a. Here, c = 6 and a = 1, so αβ = 6.

Correct Answer: A — 6

Q. If the equation x^2 + 5x + k = 0 has no real roots, what must be the condition on k?

A. k < 25
B. k > 25
C. k = 25
D. k ≤ 25

Solution

The discriminant must be negative for no real roots: 5^2 - 4*1*k < 0, which simplifies to 25 - 4k < 0, or k > 25.

Correct Answer: A — k < 25

Q. If the equation x^2 + 5x + k = 0 has roots that are both negative, what is the condition for k?

A. k > 0
B. k < 0
C. k ≥ 0
D. k ≤ 0

Solution

For both roots to be negative, the sum of the roots (which is -5) must be negative, and the product (k) must be positive. Thus, k > 0.

Correct Answer: A — k > 0

Q. If the expansion of (x + y)^n has 15 terms, what is the value of n?

A. 14
B. 15
C. 16
D. 17

Solution

The number of terms in the expansion of (x + y)^n is n + 1. Therefore, n + 1 = 15, which gives n = 14.

Correct Answer: A — 14

Q. If the focal length of a convex lens is 25 cm, what is the power of the lens? (2023)

A. +2 D
B. +4 D
C. +5 D
D. +10 D

Solution

Power P = 1/f (in meters). Thus, P = 1/0.25 = +4 D.

Correct Answer: C — +5 D

Q. If the focus of a parabola is at (0, 2) and the directrix is y = -2, what is the equation of the parabola?

A. x^2 = 8y
B. x^2 = 4y
C. y^2 = 8x
D. y^2 = 4x

Solution

The distance from the focus to the directrix is 4, so the equation is x^2 = 8y.

Correct Answer: A — x^2 = 8y

Q. If the following numbers are given: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, what is the median? (2019)

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

Solution

The numbers are already in order. The median is the average of the 5th and 6th numbers: (5 + 6) / 2 = 5.5.

Correct Answer: B — 6

Showing 1591 to 1620 of 3872 (130 Pages)

School

College

Degree

Competitve

Skills

Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely