Major Competitive Exams

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Major Competitive Exams

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Major Competitive Exams MCQ & Objective Questions

Major Competitive Exams play a crucial role in shaping the academic and professional futures of students in India. These exams not only assess knowledge but also test problem-solving skills and time management. Practicing MCQs and objective questions is essential for scoring better, as they help in familiarizing students with the exam format and identifying important questions that frequently appear in tests.

What You Will Practise Here

Key concepts and theories related to major subjects
Important formulas and their applications
Definitions of critical terms and terminologies
Diagrams and illustrations to enhance understanding
Practice questions that mirror actual exam patterns
Strategies for solving objective questions efficiently
Time management techniques for competitive exams

Exam Relevance

The topics covered under Major Competitive Exams are integral to various examinations such as CBSE, State Boards, NEET, and JEE. Students can expect to encounter a mix of conceptual and application-based questions that require a solid understanding of the subjects. Common question patterns include multiple-choice questions that test both knowledge and analytical skills, making it essential to be well-prepared with practice MCQs.

Common Mistakes Students Make

Rushing through questions without reading them carefully
Overlooking the negative marking scheme in MCQs
Confusing similar concepts or terms
Neglecting to review previous years’ question papers
Failing to manage time effectively during the exam

FAQs

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

Question: What types of questions should I focus on for these exams?
Answer: Concentrate on important Major Competitive Exams questions that frequently appear in past papers and mock tests.

Question: Are there specific strategies for tackling objective questions?
Answer: Yes, practicing under timed conditions and reviewing mistakes can help develop effective strategies.

Start your journey towards success by solving practice MCQs today! Test your understanding and build confidence for your upcoming exams. Remember, consistent practice is the key to mastering Major Competitive Exams!

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Q. If the area of a parallelogram is 120 square meters and the base is 15 meters, what is the height?

A. 8 meters
B. 10 meters
C. 12 meters
D. 15 meters

Solution

Area = base × height. Thus, 120 = 15 × height, giving height = 120/15 = 8 meters.

Correct Answer: B — 10 meters

Q. If the area of a parallelogram is 120 square units and the base is 15 units, what is the height?

A. 8 units
B. 10 units
C. 12 units
D. 15 units

Solution

Area = base × height. Thus, 120 = 15 × height, giving height = 120/15 = 8 units.

Correct Answer: B — 10 units

Q. If the area of a parallelogram is given by the formula base times height, what happens to the area if the height is halved?

A. The area remains the same
B. The area doubles
C. The area is halved
D. The area increases by 25%

Solution

If the height of a parallelogram is halved, the area is also halved, as area = base × height.

Correct Answer: C — The area is halved

Q. If the area of a quadrilateral is given by the formula A = 1/2 * d1 * d2 * sin(θ), what do d1 and d2 represent? (2023)

A. The lengths of the sides.
B. The lengths of the diagonals.
C. The lengths of the altitudes.
D. The lengths of the bases.

Solution

In the formula for the area of a quadrilateral, d1 and d2 represent the lengths of the diagonals.

Correct Answer: B — The lengths of the diagonals.

Q. If the area of a quadrilateral is given by the formula A = 1/2 * d1 * d2 * sin(θ), where d1 and d2 are the lengths of the diagonals and θ is the angle between them, which type of quadrilateral does this formula apply to?

A. Rectangle
B. Parallelogram
C. Kite
D. Trapezium

Solution

This formula applies to a kite, where the diagonals intersect at an angle.

Correct Answer: C — Kite

Q. If the area of a rectangle is 48 square meters and the length is 8 meters, what is the width?

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

Solution

Area = Length * Width. Therefore, Width = Area / Length = 48 / 8 = 6 meters.

Correct Answer: B — 6

Q. If the area of a rectangle is 48 square units and the length is 8 units, what is the width? (2022)

A. 4 units
B. 6 units
C. 8 units
D. 10 units

Solution

Area = Length × Width. Therefore, Width = Area / Length = 48 / 8 = 6 units.

Correct Answer: A — 4 units

Q. If the area of a rectangle is calculated as 30 m² with an uncertainty of ±0.5 m², what is the relative error in the area measurement?

A. 0.0167
B. 0.017
C. 0.015
D. 0.02

Solution

Relative error = (absolute error / measured value) = 0.5 / 30 = 0.0167.

Correct Answer: A — 0.0167

Q. If the area of a rectangle is calculated as 50 m² with a length of 10 m and an uncertainty of ±0.1 m in length, what is the uncertainty in the area?

A. 1 m²
B. 0.5 m²
C. 0.2 m²
D. 0.1 m²

Solution

Uncertainty in area = 2 * length * uncertainty in length = 2 * 10 * 0.1 = 2 m².

Correct Answer: B — 0.5 m²

Q. If the area of a rhombus is 72 cm² and one diagonal is 12 cm, what is the length of the other diagonal?

A. 12 cm
B. 18 cm
C. 24 cm
D. 30 cm

Solution

Area = (d1 × d2) / 2. 72 = (12 × d2) / 2, so d2 = 12 cm.

Correct Answer: B — 18 cm

Q. If the area of a rhombus is 72 square cm and one diagonal is 12 cm, what is the length of the other diagonal?

A. 12 cm
B. 18 cm
C. 24 cm
D. 6 cm

Solution

Area = (1/2) × d1 × d2. Thus, 72 = (1/2) × 12 × d2, giving d2 = 12 cm.

Correct Answer: B — 18 cm

Q. If the area of a sector of a circle is 25π cm² and the radius is 10 cm, what is the angle of the sector in degrees?

A. 90 degrees
B. 60 degrees
C. 45 degrees
D. 30 degrees

Solution

Area of a sector = (θ/360) × πr². Thus, 25π = (θ/360) × π(10)². Solving gives θ = 90 degrees.

Correct Answer: A — 90 degrees

Q. If the area of a sector of a circle is 25π square units and the radius is 5 units, what is the angle of the sector in degrees?

A. 90°
B. 60°
C. 45°
D. 30°

Solution

Area of a sector = (θ/360) × πr². Thus, 25π = (θ/360) × π(5)². Solving gives θ = 90°.

Correct Answer: A — 90°

Q. If the area of a sector of a circle is 30 cm² and the radius is 5 cm, what is the angle of the sector in degrees?

A. 60°
B. 72°
C. 90°
D. 120°

Solution

Area of a sector = (θ/360) × πr². Thus, 30 = (θ/360) × π × 25. Solving gives θ = (30 × 360)/(25π) ≈ 72°.

Correct Answer: B — 72°

Q. If the area of a square is 64 cm², what is the length of one side? (2022)

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

Solution

Area of a square = side². Therefore, side = √64 = 8 cm.

Correct Answer: C — 8 cm

Q. If the area of a square is 64 square meters, what is the length of one side?

A. 6 meters
B. 8 meters
C. 10 meters
D. 12 meters

Solution

Area = side². Thus, 64 = side², giving side = √64 = 8 meters.

Correct Answer: B — 8 meters

Q. If the area of a square is 64 square units, what is the length of one side?

A. 6 units
B. 8 units
C. 10 units
D. 12 units

Solution

Area = side². Thus, side = √64 = 8 units.

Correct Answer: B — 8 units

Q. If the area of a trapezium is 60 cm² and the lengths of the two parallel sides are 10 cm and 14 cm, what is the height?

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

Solution

Area = (1/2) × (a + b) × height. 60 = (1/2) × (10 + 14) × height. Solving gives height = 5 cm.

Correct Answer: B — 5 cm

Q. If the area of a trapezium is 60 square units and the lengths of the parallel sides are 10 units and 20 units, what is the height?

A. 4 units
B. 6 units
C. 8 units
D. 10 units

Solution

Area = (1/2) × (base1 + base2) × height. Thus, 60 = (1/2) × (10 + 20) × height, giving height = 60 / 15 = 4 units.

Correct Answer: B — 6 units

Q. If the area of a trapezium is 60 square units and the lengths of the two parallel sides are 10 units and 20 units, what is the height?

A. 4 units
B. 6 units
C. 5 units
D. 8 units

Solution

Area = (1/2) × (base1 + base2) × height. Thus, 60 = (1/2) × (10 + 20) × height, giving height = 60 / 15 = 4 units.

Correct Answer: B — 6 units

Q. If the area of a triangle is 24 cm² and the base is 8 cm, what is the height?

A. 6 cm
B. 8 cm
C. 12 cm
D. 3 cm

Solution

Area = 1/2 * base * height. Therefore, 24 = 1/2 * 8 * height, which gives height = 6 cm.

Correct Answer: A — 6 cm

Q. If the area of a triangle is 24 cm² and the height is 6 cm, what is the base?

A. 4 cm
B. 6 cm
C. 8 cm
D. 10 cm

Solution

Area = (base × height) / 2, so base = (2 × Area) / height = (2 × 24 cm²) / 6 cm = 8 cm.

Correct Answer: C — 8 cm

Q. If the area of a triangle is 24 square cm and the base is 8 cm, what is the height?

A. 3 cm
B. 6 cm
C. 8 cm
D. 12 cm

Solution

The area of a triangle is given by the formula Area = 1/2 * base * height. Thus, 24 = 1/2 * 8 * height, which gives height = 6 cm.

Correct Answer: B — 6 cm

Q. If the area of a triangle is 30 cm² and the base is 10 cm, what is the height? (2020)

A. 3 cm
B. 6 cm
C. 9 cm
D. 12 cm

Solution

Area = 1/2 * base * height. Thus, 30 = 1/2 * 10 * height. Solving gives height = 6 cm.

Correct Answer: B — 6 cm

Q. If the area of a triangle is 30 square units and the base is 10 units, what is the height?

A. 3
B. 5
C. 6
D. 10

Solution

Area = 1/2 * base * height => height = 30/(1/2 * 10) = 6.

Correct Answer: B — 5

Q. If the area of a triangle is 48 cm² and the base is 12 cm, what is the height? (2022)

A. 6 cm
B. 8 cm
C. 4 cm
D. 10 cm

Solution

Area = 1/2 * base * height, so 48 = 1/2 * 12 * height, height = 48/(6) = 8 cm.

Correct Answer: B — 8 cm

Q. If the area of a triangle is 50 cm² and the height is 10 cm, what is the base?

A. 5 cm
B. 10 cm
C. 15 cm
D. 20 cm

Solution

Area = (base × height) / 2, so base = (2 × Area) / height = (2 × 50 cm²) / 10 cm = 10 cm.

Correct Answer: D — 20 cm

Q. If the area of a triangle is 50 square cm and its base is 10 cm, what is the height of the triangle?

A. 5 cm
B. 10 cm
C. 15 cm
D. 20 cm

Solution

Area of a triangle = (1/2) × base × height. Thus, 50 = (1/2) × 10 × height. Solving gives height = 10 cm.

Correct Answer: A — 5 cm

Q. If the area of a triangle is 50 square units and its base is 10 units, what is the height of the triangle?

A. 5 units
B. 10 units
C. 15 units
D. 20 units

Solution

Area of a triangle = (1/2) × base × height. Thus, 50 = (1/2) × 10 × height. Solving gives height = 10 units.

Correct Answer: A — 5 units

Q. If the area of a triangle is 60 square units and the base is 10 units, what is the height? (2019)

A. 12
B. 10
C. 8
D. 6

Solution

The area of a triangle is given by (1/2) * base * height. Thus, 60 = (1/2) * 10 * height. Solving for height gives height = 12 units.

Correct Answer: A — 12

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