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 coordinates of the vertices of a triangle are (1, 1), (4, 5), and (7, 2), what is the perimeter of the triangle?

A. 12
B. 14
C. 16
D. 18

Solution

Calculate distances AB, BC, CA and sum them: AB = 5, BC = 5, CA = 7. Perimeter = 5 + 5 + 7 = 17.

Correct Answer: B — 14

Q. If the coordinates of the vertices of a triangle are (1, 2), (3, 4), and (5, 2), what is the perimeter of the triangle?

A. 8
B. 10
C. 12
D. 14

Solution

Perimeter = AB + BC + CA = √[(3-1)² + (4-2)²] + √[(5-3)² + (2-4)²] + √[(1-5)² + (2-2)²] = 2.83 + 2.83 + 4 = 10.

Correct Answer: B — 10

Q. If the coordinates of the vertices of a triangle are (1, 2), (4, 6), and (7, 2), what is the perimeter of the triangle?

A. 12
B. 14
C. 16
D. 18

Solution

Perimeter = AB + BC + CA = √[(4-1)² + (6-2)²] + √[(7-4)² + (2-6)²] + √[(1-7)² + (2-2)²] = 3 + √(9 + 16) + 6 = 3 + 5 + 6 = 14.

Correct Answer: B — 14

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 coordinates of the vertices of a triangle are A(1, 1), B(4, 5), and C(7, 2), what is the area of the triangle?

A. 10
B. 12
C. 14
D. 16

Solution

Area = 1/2 | x1(y2-y3) + x2(y3-y1) + x3(y1-y2) | = 1/2 | 1(5-2) + 4(2-1) + 7(1-5) | = 1/2 | 3 + 4 - 28 | = 1/2 * 21 = 10.5.

Correct Answer: B — 12

Q. If the cost function is C(x) = 3x^2 + 12x + 5, find the minimum cost. (2020)

A. 5
B. 8
C. 12
D. 10

Solution

The minimum cost occurs at x = -b/(2a) = -12/(2*3) = -2. C(-2) = 3(-2)^2 + 12(-2) + 5 = 8.

Correct Answer: B — 8

Q. If the cost function is C(x) = 3x^2 + 12x + 5, find the minimum cost. (2020) 2020

A. 5
B. 8
C. 12
D. 10

Solution

The minimum cost occurs at x = -b/(2a) = -12/(2*3) = -2. C(-2) = 3(-2)^2 + 12(-2) + 5 = 8.

Correct Answer: B — 8

Q. If the cost function is C(x) = 5x^2 + 20x + 100, find the minimum cost. (2020)

A. 100
B. 120
C. 140
D. 160

Solution

The minimum cost occurs at x = -b/(2a) = -20/(2*5) = -2. C(-2) = 5(-2)^2 + 20(-2) + 100 = 120.

Correct Answer: B — 120

Q. If the cost of 5 apples is $10, what is the cost of 12 apples?

A. $20
B. $24
C. $30
D. $36

Solution

Cost of 1 apple = $10 / 5 = $2. Cost of 12 apples = 12 × $2 = $24.

Correct Answer: B — $24

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 cost of living increases by 12% and your current monthly expense is $1500, what will be your new monthly expense?

A. $1680
B. $1700
C. $1750
D. $1800

Solution

New expense = 1500 + (12/100 * 1500) = 1500 + 180 = $1680

Correct Answer: A — $1680

Q. If the cost price of an article is $120 and the selling price is $150, what is the profit percentage?

A. 20%
B. 25%
C. 30%
D. 15%

Solution

Profit = Selling Price - Cost Price = 150 - 120 = 30. Profit Percentage = (Profit/Cost Price) * 100 = (30/120) * 100 = 25%.

Correct Answer: B — 25%

Q. If the cost price of an article is Rs. 500 and the selling price is Rs. 600, what is the profit percentage?

A. 20%
B. 25%
C. 30%
D. 35%

Solution

Profit = Selling Price - Cost Price = 600 - 500 = 100. Profit Percentage = (Profit/Cost Price) * 100 = (100/500) * 100 = 20%.

Correct Answer: B — 25%

Q. If the cost price of an item is $80 and the selling price is $100, what is the profit percentage?

A. 20%
B. 25%
C. 30%
D. 35%

Solution

Profit = Selling Price - Cost Price = $100 - $80 = $20. Profit Percentage = (Profit/Cost Price) × 100 = (20/80) × 100 = 25%.

Correct Answer: B — 25%

Q. If the cost price of an item is Rs. 500 and the selling price is Rs. 600, what is the gain percentage?

A. 20%
B. 25%
C. 30%
D. 15%

Solution

Gain = Selling Price - Cost Price = 600 - 500 = 100. Gain percentage = (Gain/Cost Price) * 100 = (100/500) * 100 = 20%.

Correct Answer: B — 25%

Q. If the critical angle for a certain material is 30°, what is the refractive index of that material?

A. 1.00
B. 1.15
C. 1.73
D. 2.00

Solution

The refractive index n can be calculated using n = 1/sin(θc). For θc = 30°, n = 1/sin(30°) = 1/0.5 = 2.00.

Correct Answer: C — 1.73

Q. If the critical angle for a certain material is 45°, what is the refractive index of that material?

A. 1.41
B. 1.00
C. 1.73
D. 0.71

Solution

Using the formula n = 1/sin(θc), where θc = 45°, we find n = 1/sin(45°) = 1/0.7071 ≈ 1.41.

Correct Answer: A — 1.41

Q. If the cross-sectional area of a wire is doubled, how does its resistance change?

A. Doubles
B. Halves
C. Remains the same
D. Increases four times

Solution

Resistance is inversely proportional to cross-sectional area; doubling the area halves the resistance.

Correct Answer: B — Halves

Q. If the cross-sectional area of a wire is doubled, what happens to its resistance?

A. Doubles
B. Halves
C. Remains the same
D. Increases four times

Solution

Resistance (R) is inversely proportional to cross-sectional area (A). Doubling A halves the resistance.

Correct Answer: B — Halves

Q. If the current flowing through a conductor is 3A and the resistance is 2Ω, what is the voltage across the conductor? (2023)

A. 1.5V
B. 3V
C. 6V
D. 9V

Solution

Using Ohm's Law, V = I * R = 3A * 2Ω = 6V.

Correct Answer: C — 6V

Q. If the current flowing through a conductor is 3A and the resistance is 6Ω, what is the voltage across the conductor? (2023)

A. 9V
B. 18V
C. 3V
D. 6V

Solution

Using Ohm's Law, V = I * R = 3A * 6Ω = 18V.

Correct Answer: A — 9V

Q. If the current flowing through a resistor is 2A and the voltage across it is 6V, what is the resistance? (2022)

A. 3Ω
B. 2Ω
C. 6Ω
D. 12Ω

Solution

Using Ohm's Law, R = V / I = 6V / 2A = 3Ω.

Correct Answer: A — 3Ω

Q. If the current flowing through a resistor is 3A and the voltage across it is 9V, what is the resistance? (2022)

A. 1Ω
B. 2Ω
C. 3Ω
D. 4Ω

Solution

Using Ohm's Law, R = V / I = 9V / 3A = 3Ω.

Correct Answer: C — 3Ω

Q. If the current in a circuit is 5 A and the resistance is 2 ohms, what is the power consumed in the circuit?

A. 10 W
B. 25 W
C. 5 W
D. 2.5 W

Solution

Power (P) can be calculated using P = I^2R = (5 A)^2 * 2 Ω = 25 W.

Correct Answer: B — 25 W

Q. If the current in a circuit is doubled while the resistance remains constant, what happens to the voltage?

A. It doubles
B. It halves
C. It remains the same
D. It quadruples

Solution

According to Ohm's Law, if the current (I) is doubled and resistance (R) remains constant, the voltage (V) must also double.

Correct Answer: A — It doubles

Q. If the current in a circuit is halved, what happens to the power consumed by the circuit?

A. It doubles
B. It halves
C. It remains the same
D. It quadruples

Solution

Power P = I^2 * R. If I is halved, P becomes (1/2)^2 * R = 1/4 * P, so the power is reduced to a quarter, which means it halves.

Correct Answer: B — It halves

Q. If the current in a circuit is split into two branches with resistances R1 = 2Ω and R2 = 4Ω, what is the current through R1 if the total current is 6A?

A. 2A
B. 3A
C. 4A
D. 6A

Solution

Using the current division rule, I1 = I_total * (R2 / (R1 + R2)) = 6A * (4Ω / (2Ω + 4Ω)) = 6A * (4/6) = 4A.

Correct Answer: B — 3A

Q. If the current in a circular loop is doubled, how does the magnetic field at the center of the loop change?

A. It remains the same
B. It doubles
C. It quadruples
D. It halves

Solution

The magnetic field at the center of a circular loop is directly proportional to the current; thus, if the current is doubled, the magnetic field also doubles.

Correct Answer: B — It doubles

Q. If the current in a circular loop is doubled, how does the magnetic field at the center change?

A. Remains the same
B. Doubles
C. Halves
D. Quadruples

Solution

The magnetic field at the center of a loop is directly proportional to the current.

Correct Answer: B — Doubles

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