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. A farmer harvested 2400 kg of rice from 8 acres. What is the average yield per acre?

A. 250 kg
B. 300 kg
C. 350 kg
D. 400 kg

Solution

2400 kg / 8 acres = 300 kg per acre

Correct Answer: B — 300 kg

Q. A farmer has 120 acres of land. If he plants corn on 3/5 of his land, how many acres does he plant corn on?

A. 60 acres
B. 72 acres
C. 48 acres
D. 90 acres

Solution

120 acres * (3/5) = 72 acres

Correct Answer: B — 72 acres

Q. A farmer has 120 acres of land. If he wants to conserve 25% of his land for wildlife, how many acres will he conserve?

A. 30 acres
B. 40 acres
C. 25 acres
D. 20 acres

Solution

25% of 120 acres = 0.25 * 120 = 30 acres.

Correct Answer: A — 30 acres

Q. A farmer has 120 apples. He sells 30% of them. How many apples does he have left?

A. 84
B. 90
C. 70
D. 100

Solution

30% of 120 is 36. So, 120 - 36 = 84 apples left.

Correct Answer: A — 84

Q. A farmer has 300 fruit trees. If 1/4 of them are apple trees, how many apple trees does he have?

A. 50 trees
B. 75 trees
C. 100 trees
D. 150 trees

Solution

300 trees * (1/4) = 75 trees

Correct Answer: B — 75 trees

Q. A farmer has a rectangular field of dimensions 50 m by 30 m. If he wants to irrigate it with water from a river, how much water is needed to cover the field to a depth of 0.1 m? (2023)

A. 150 m³
B. 300 m³
C. 500 m³
D. 100 m³

Solution

Volume of water needed = Area × Depth = (50 m × 30 m) × 0.1 m = 150 m³.

Correct Answer: A — 150 m³

Q. A farmer has a rectangular field with a length of 100 meters and a width of 50 meters. What is the area of the field?

A. 5000 m²
B. 6000 m²
C. 4000 m²
D. 3000 m²

Solution

Area = length × width = 100 m × 50 m = 5000 m².

Correct Answer: A — 5000 m²

Q. A farmer needs to plant seeds in a rectangular field of 80 meters by 60 meters. If he plants 2 seeds per square meter, how many seeds does he need?

A. 9600 seeds
B. 12000 seeds
C. 14400 seeds
D. 16000 seeds

Solution

(80 m * 60 m) * 2 seeds/m² = 9600 seeds

Correct Answer: C — 14400 seeds

Q. A farmer sells 200 kg of potatoes for $400. What is the price per kg of potatoes?

A. $1.50
B. $2.00
C. $2.50
D. $3.00

Solution

$400 / 200 kg = $2.00 per kg

Correct Answer: B — $2.00

Q. A farmer wants to fence a rectangular area of 200 m^2. What dimensions will minimize the fencing required? (2021)

A. 10, 20
B. 14, 14.28
C. 15, 13.33
D. 20, 10

Solution

For a fixed area, the minimum perimeter occurs when the rectangle is a square. Thus, dimensions are approximately 14 m by 14.28 m.

Correct Answer: B — 14, 14.28

Q. A farmer wants to fence a rectangular field with 100 m of fencing. What dimensions will maximize the area? (2022)

A. 25 m by 25 m
B. 30 m by 20 m
C. 40 m by 10 m
D. 50 m by 0 m

Solution

For maximum area, the rectangle should be a square. Each side = 100/4 = 25 m.

Correct Answer: A — 25 m by 25 m

Q. A farmer wants to increase his crop yield by 25%. If his current yield is 800 kg, what will be his target yield?

A. 900 kg
B. 1000 kg
C. 1100 kg
D. 1200 kg

Solution

800 kg * 1.25 = 1000 kg

Correct Answer: B — 1000 kg

Q. A fiber optic cable uses total internal reflection to transmit light. What is the primary requirement for this to work effectively?

A. The core must have a higher refractive index than the cladding
B. The cladding must have a higher refractive index than the core
C. The light must be monochromatic
D. The cable must be straight

Solution

For total internal reflection to occur in a fiber optic cable, the core must have a higher refractive index than the cladding.

Correct Answer: A — The core must have a higher refractive index than the cladding

Q. A fiber optic cable uses total internal reflection. If the refractive index of the core is 1.5 and that of the cladding is 1.4, what is the critical angle?

A. 42.0°
B. 48.6°
C. 60.0°
D. 30.0°

Solution

Critical angle θc = sin⁻¹(n2/n1) = sin⁻¹(1.4/1.5) ≈ 42.0°.

Correct Answer: A — 42.0°

Q. A fiber optic cable uses total internal reflection. If the refractive index of the core is 1.6 and the cladding is 1.5, what is the critical angle?

A. 38.7°
B. 41.8°
C. 48.6°
D. 60.0°

Solution

Critical angle θc = sin⁻¹(n2/n1) = sin⁻¹(1.5/1.6) ≈ 38.7°.

Correct Answer: A — 38.7°

Q. A fiber optic cable uses total internal reflection. What is the minimum refractive index required for the core if the cladding has a refractive index of 1.45?

A. 1.50
B. 1.45
C. 1.60
D. 1.75

Solution

For total internal reflection, the core must have a higher refractive index than the cladding, so it must be greater than 1.45.

Correct Answer: A — 1.50

Q. A fiber optic cable uses total internal reflection. What is the role of the cladding?

A. To increase the refractive index.
B. To decrease the refractive index.
C. To prevent light loss.
D. To enhance light absorption.

Solution

The cladding has a lower refractive index than the core, ensuring that light is kept within the core through total internal reflection.

Correct Answer: C — To prevent light loss.

Q. A fiber optic cable uses total internal reflection. What is the role of the cladding in this context?

A. To increase the speed of light.
B. To provide structural support.
C. To ensure light remains within the core.
D. To change the wavelength of light.

Solution

The cladding has a lower refractive index than the core, ensuring that light remains within the core by total internal reflection.

Correct Answer: C — To ensure light remains within the core.

Q. A field has a length of 100 meters and a width of 50 meters. What is the area of the field in acres? (1 acre = 4046.86 m²)

A. 1.23 acres
B. 1.50 acres
C. 2.00 acres
D. 2.50 acres

Solution

(100 m * 50 m) / 4046.86 m² = 1.23 acres

Correct Answer: A — 1.23 acres

Q. A field has a length of 200 meters and a width of 150 meters. What is the area of the field in square meters?

A. 25000 m²
B. 30000 m²
C. 35000 m²
D. 40000 m²

Solution

200 m * 150 m = 30000 m²

Correct Answer: B — 30000 m²

Q. A figure skater pulls in her arms while spinning. What happens to her angular momentum?

A. Increases
B. Decreases
C. Remains constant
D. Becomes zero

Solution

Angular momentum is conserved; it remains constant, but her angular velocity increases.

Correct Answer: C — Remains constant

Q. A figure skater pulls in her arms while spinning. What happens to her angular velocity?

A. Increases
B. Decreases
C. Remains the same
D. Becomes zero

Solution

By conservation of angular momentum, if the moment of inertia decreases, the angular velocity must increase.

Correct Answer: A — Increases

Q. A figure skater spins with arms extended. When she pulls her arms in, what happens to her angular velocity?

A. Increases
B. Decreases
C. Remains the same
D. Becomes zero

Solution

By conservation of angular momentum, pulling arms in decreases moment of inertia, thus increasing angular velocity.

Correct Answer: A — Increases

Q. A figure skater spins with arms extended. When she pulls her arms in, what happens to her rotational speed?

A. Increases
B. Decreases
C. Remains the same
D. Becomes zero

Solution

Pulling her arms in decreases her moment of inertia, causing her rotational speed to increase to conserve angular momentum.

Correct Answer: A — Increases

Q. A figure skater spins with arms extended. When she pulls her arms in, what happens to her angular momentum?

A. Increases
B. Decreases
C. Remains the same
D. Becomes zero

Solution

Angular momentum remains the same; however, her angular velocity increases due to a decrease in moment of inertia.

Correct Answer: C — Remains the same

Q. A firm has fixed costs of $1000 and variable costs of $5 per unit. If it produces 200 units, what is the total cost?

A. $2000
B. $2100
C. $2200
D. $2300

Solution

Total cost = Fixed costs + (Variable cost per unit * Number of units) = 1000 + (5 * 200) = 1000 + 1000 = $2000

Correct Answer: B — $2100

Q. A firm has fixed costs of $1000 and variable costs of $5 per unit. If it sells 200 units, what is its total cost?

A. $2000
B. $3000
C. $4000
D. $5000

Solution

Total cost = Fixed costs + (Variable cost per unit * Number of units) = 1000 + (5 * 200) = 2000

Correct Answer: B — $3000

Q. A firm has fixed costs of $2000 and variable costs of $5 per unit. If it produces 500 units, what are the total costs?

A. $2500
B. $3000
C. $2000
D. $3500

Solution

Total costs = Fixed costs + (Variable cost per unit * Number of units) = 2000 + (5 * 500) = 2000 + 2500 = $4500

Correct Answer: B — $3000

Q. A firm has fixed costs of $2000 and variable costs of $5 per unit. If it produces 500 units, what is the total cost?

A. $2500
B. $3000
C. $3500
D. $4000

Solution

Total cost = Fixed costs + (Variable cost per unit * Number of units) = 2000 + (5 * 500) = 2000 + 2500 = $4500

Correct Answer: B — $3000

Q. A fitness program claims to increase muscle strength by 5% each month. If a person's strength is currently 100 units, what will it be after 3 months?

A. 115.76
B. 110.25
C. 105.00
D. 120.00

Solution

After 3 months, strength = 100 * (1 + 0.05)^3 = 100 * 1.157625 = 115.76 units.

Correct Answer: A — 115.76

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