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 15% of a class of 40 students are absent, how many students are present?

A. 30
B. 32
C. 34
D. 36

Solution

15% of 40 is calculated as (15/100) * 40 = 6. Therefore, present students = 40 - 6 = 34.

Correct Answer: C — 34

Q. If 2 kg of sugar costs $5, how much will 5 kg of sugar cost?

A. $10
B. $12.5
C. $15
D. $20

Solution

Cost per kg = $5 / 2 kg = $2.5. For 5 kg, cost = 5 * 2.5 = $12.5.

Correct Answer: B — $12.5

Q. If 2 liters of a solution contains 30% acid, how much acid is there in the solution?

A. 0.6 liters
B. 0.4 liters
C. 0.5 liters
D. 0.3 liters

Solution

Acid = 30% of 2L = 0.6 liters.

Correct Answer: A — 0.6 liters

Q. If 2 moles of a gas occupy 44.8 L at STP, what is the molar volume of the gas?

A. 22.4 L
B. 44.8 L
C. 11.2 L
D. 33.6 L

Solution

At STP, 1 mole of gas occupies 22.4 L. Therefore, the molar volume of the gas is 22.4 L.

Correct Answer: A — 22.4 L

Q. If 2 moles of an ideal gas at 300 K occupy a volume of 10 L, what is the pressure of the gas? (Use R = 0.0821 L·atm/(K·mol))

A. 0.5 atm
B. 1.0 atm
C. 2.0 atm
D. 3.0 atm

Solution

Using the Ideal Gas Law, P = nRT/V = (2 moles * 0.0821 L·atm/(K·mol) * 300 K) / 10 L = 4.926 atm.

Correct Answer: B — 1.0 atm

Q. If 2 moles of glucose are dissolved in 1 liter of water, what is the molarity of the solution?

A. 1 M
B. 2 M
C. 0.5 M
D. 3 M

Solution

Molarity = moles of solute / liters of solution = 2 moles / 1 L = 2 M.

Correct Answer: B — 2 M

Q. If 2 moles of KCl are dissolved in 1 liter of solution, what is the molarity of the solution?

A. 1 M
B. 2 M
C. 0.5 M
D. 3 M

Solution

Molarity (M) = moles of solute / liters of solution = 2 moles / 1 L = 2 M.

Correct Answer: B — 2 M

Q. If 2 moles of NaCl are dissolved in 1 kg of water, what is the van 't Hoff factor (i)?

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

Solution

NaCl dissociates into 2 ions (Na⁺ and Cl⁻), so the van 't Hoff factor (i) is 2.

Correct Answer: C — 3

Q. If 2 pencils cost 50 cents, how much do 10 pencils cost?

A. 2.50
B. 5.00
C. 7.50
D. 10.00

Solution

If 2 pencils cost 50 cents, then 10 pencils (5 times more) will cost 5 * 50 = 250 cents or $2.50.

Correct Answer: B — 5.00

Q. If 2(x - 3) = 4, what is the value of x?

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

Solution

Divide both sides by 2: x - 3 = 2. Add 3: x = 5.

Correct Answer: B — 6

Q. If 20 grams of glucose (C6H12O6) is dissolved in 1 liter of water, what is the molarity of the solution? (Molar mass of glucose = 180 g/mol) (2020) 2020

A. 0.11 M
B. 0.5 M
C. 0.2 M
D. 0.33 M

Solution

Moles of glucose = 20 g / 180 g/mol = 0.111 M. Molarity = 0.111 moles / 1 L = 0.11 M.

Correct Answer: A — 0.11 M

Q. If 20 grams of glucose (C6H12O6) is dissolved in 200 mL of solution, what is the mass percent concentration? (Molar mass of glucose = 180 g/mol)

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

Solution

Mass percent = (mass of solute / total mass of solution) x 100 = (20 g / (20 g + 200 g)) x 100 = 10%.

Correct Answer: A — 10%

Q. If 20 liters of a mixture contains 4 liters of substance X, what is the ratio of substance X to the remaining mixture?

A. 1:4
B. 1:5
C. 1:3
D. 1:2

Solution

Remaining mixture = 20 - 4 = 16 liters. Ratio = 4:16 = 1:4.

Correct Answer: B — 1:5

Q. If 20 liters of a solution contains 12 liters of acid and the rest is water, what is the ratio of acid to water in the solution?

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

Solution

Water = 20 - 12 = 8 liters. Ratio = 12:8 = 3:2.

Correct Answer: C — 5:3

Q. If 200 g of ice at 0°C is added to 100 g of water at 80°C, what will be the final temperature of the mixture? (Latent heat of fusion of ice = 334 J/g)

A. 0°C
B. 20°C
C. 40°C
D. 60°C

Solution

Heat lost by water = Heat gained by ice. 100g * 80°C = 200g * 334 J/g + 200g * (Tf - 0°C). Solving gives Tf = 20°C.

Correct Answer: B — 20°C

Q. If 200 g of water at 80°C is mixed with 300 g of water at 20°C, what will be the final temperature of the mixture? (Assume no heat loss to the surroundings)

A. 30°C
B. 40°C
C. 50°C
D. 60°C

Solution

Using the formula m1c1T1 + m2c2T2 = (m1 + m2)cTfinal, we find Tfinal = 40°C.

Correct Answer: B — 40°C

Q. If 200 g of water at 80°C is mixed with 300 g of water at 20°C, what will be the final temperature of the mixture? (2019)

A. 30°C
B. 40°C
C. 50°C
D. 60°C

Solution

Using the formula m1c1T1 + m2c2T2 = (m1 + m2)cT, we find T = (200*80 + 300*20) / (200 + 300) = 40°C.

Correct Answer: B — 40°C

Q. If 200 J of heat is added to a system and 50 J of work is done by the system, what is the change in internal energy? (2023)

A. 150 J
B. 250 J
C. 200 J
D. 100 J

Solution

According to the first law of thermodynamics, ΔU = Q - W = 200 J - 50 J = 150 J.

Correct Answer: A — 150 J

Q. If 200 J of heat is added to a system and 50 J of work is done by the system, what is the change in internal energy of the system?

A. 150 J
B. 250 J
C. 200 J
D. 100 J

Solution

According to the first law of thermodynamics, ΔU = Q - W = 200 J - 50 J = 150 J.

Correct Answer: A — 150 J

Q. If 2000 J of heat is added to a system and 500 J of work is done by the system, what is the change in internal energy of the system? (2021)

A. 1500 J
B. 2000 J
C. 2500 J
D. 3000 J

Solution

Using the first law of thermodynamics: ΔU = Q - W = 2000 J - 500 J = 1500 J.

Correct Answer: A — 1500 J

Q. If 25% of a company's profits are allocated to ethical initiatives and the profit is $200,000, how much is allocated?

A. $40,000
B. $50,000
C. $60,000
D. $70,000

Solution

25% of $200,000 is calculated as (25/100) * 200000 = $50,000.

Correct Answer: A — $40,000

Q. If 25% of a group like sports, 15% like music, and 5% like both, what percentage like either sports or music?

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

Solution

Using inclusion-exclusion, the percentage who like either is 25% + 15% - 5% = 35%.

Correct Answer: A — 35%

Q. If 25% of a group like tea, 15% like coffee, and 5% like both, what percentage like either tea or coffee?

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

Solution

Using inclusion-exclusion, the percentage who like either is 25% + 15% - 5% = 35%.

Correct Answer: A — 35%

Q. If 25% of a group like tea, 35% like coffee, and 10% like both, what percentage like only tea?

A. 15%
B. 25%
C. 10%
D. 20%

Solution

The percentage who like only tea is 25% - 10% = 15%.

Correct Answer: A — 15%

Q. If 25% of a group of 200 people are students and 10% of the students are part-time workers, how many part-time workers are there?

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

Solution

The number of part-time workers is 25% of 200 = 50 students, and 10% of 50 = 5 part-time workers.

Correct Answer: C — 20

Q. If 25% of a group of 200 people like hiking, 15% like biking, and 5% like both, what percentage like either activity?

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

Solution

Using inclusion-exclusion, the percentage who like either is 25% + 15% - 5% = 35%.

Correct Answer: A — 35%

Q. If 25% of a group of 200 people like sports, 15% like music, and 5% like both, what percentage of people like only sports?

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

Solution

The percentage of people who like only sports is 25% - 5% = 20%.

Correct Answer: A — 20%

Q. If 25% of a group of 200 people like tea, 15% like coffee, and 5% like both, what percentage like only tea?

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

Solution

The number of people who like only tea is 25% of 200 - 5% of 200 = 20%.

Correct Answer: A — 20%

Q. If 25% of a population likes apples, 15% likes oranges, and 5% likes both, what percentage likes either fruit?

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

Solution

Using inclusion-exclusion, the percentage that likes either fruit is 25% + 15% - 5% = 35%.

Correct Answer: A — 35%

Q. If 25% of a population likes apples, 15% likes oranges, and 5% likes both, what percentage likes either apples or oranges?

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

Solution

Using inclusion-exclusion, the percentage is 25% + 15% - 5% = 35%.

Correct Answer: A — 35%

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