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 5 moles of NaCl are dissolved in water, how many moles of Na+ ions are present?

A. 5 moles
B. 10 moles
C. 2.5 moles
D. 0 moles

Solution

Each mole of NaCl dissociates into 1 mole of Na+ ions. Therefore, 5 moles of NaCl will produce 5 moles of Na+ ions.

Correct Answer: A — 5 moles

Q. If 5 times a number is decreased by 3, the result is 12. What is the number?

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

Solution

Let the number be x. The equation is 5x - 3 = 12. Adding 3 to both sides gives 5x = 15. Dividing by 5 gives x = 3.

Correct Answer: B — 4

Q. If 5 workers can complete a task in 10 days, how many days will 10 workers take to complete the same task? (2023)

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

Solution

If 5 workers take 10 days, 10 workers will take 10/2 = 5 days.

Correct Answer: A — 5 days

Q. If 5 workers can complete a task in 10 days, how many days will it take for 10 workers to complete the same task?

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

Solution

Work done = Workers * Days. Total work = 5 * 10 = 50 worker-days. For 10 workers, Days = Total work / Workers = 50 / 10 = 5 days.

Correct Answer: A — 5 days

Q. If 5 workers can complete a task in 12 days, how many days will it take for 10 workers to complete the same task?

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

Solution

Work done by 5 workers in 12 days = 1 work unit. Work done by 1 worker in 60 days = 1/60 work unit/day. For 10 workers, rate = 10/60 = 1/6 work unit/day. Time = 1/(1/6) = 6 days.

Correct Answer: A — 6

Q. If 5% of a population of 10,000 are unemployed, how many people are unemployed?

A. 400
B. 500
C. 600
D. 700

Solution

5% of 10,000 is calculated as (5/100) * 10000 = 500.

Correct Answer: B — 500

Q. If 50 g of KCl is dissolved in 250 mL of solution, what is the molarity? (Molar mass of KCl = 74.5 g/mol)

A. 2.68 M
B. 1.34 M
C. 0.67 M
D. 0.25 M

Solution

Moles of KCl = 50 g / 74.5 g/mol = 0.672 moles. Molarity = 0.672 moles / 0.25 L = 2.688 M.

Correct Answer: B — 1.34 M

Q. If 50 grams of a solute is dissolved in 200 mL of solution, what is the mass/volume percent concentration?

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

Solution

Mass/volume percent = (mass of solute / volume of solution) * 100 = (50 g / 200 mL) * 100 = 25%.

Correct Answer: A — 25%

Q. If 50 grams of NaCl is dissolved in 1 liter of solution, what is the molarity? (Molar mass of NaCl = 58.5 g/mol)

A. 0.85 M
B. 1.0 M
C. 1.5 M
D. 2.0 M

Solution

Moles of NaCl = 50 g / 58.5 g/mol = 0.854 moles. Molarity = 0.854 moles / 1 L = 0.854 M.

Correct Answer: B — 1.0 M

Q. If 50 grams of NaOH is dissolved in 1 liter of solution, what is the molarity? (Molar mass of NaOH = 40 g/mol)

A. 1.25 M
B. 2.5 M
C. 0.5 M
D. 1 M

Solution

Moles of NaOH = 50 g / 40 g/mol = 1.25 moles. Molarity = 1.25 moles / 1 L = 1.25 M.

Correct Answer: B — 2.5 M

Q. If 50 mL of 0.1 M H2SO4 is diluted to 250 mL, what is the new concentration?

A. 0.02 M
B. 0.04 M
C. 0.1 M
D. 0.5 M

Solution

C1V1 = C2V2; (0.1 M)(50 mL) = C2(250 mL); C2 = 0.02 M.

Correct Answer: B — 0.04 M

Q. If 50 mL of 0.1 M HCl is mixed with 50 mL of 0.1 M NaOH, what is the resulting pH?

A. 7
B. 1
C. 14
D. 0

Solution

HCl and NaOH neutralize each other, resulting in a neutral solution with pH = 7.

Correct Answer: A — 7

Q. If 50 mL of a 2 M HCl solution is diluted to 200 mL, what is the new molarity?

A. 0.25 M
B. 0.5 M
C. 1 M
D. 2 M

Solution

Using the dilution formula M1V1 = M2V2, (2 M)(50 mL) = M2(200 mL) => M2 = 0.5 M.

Correct Answer: B — 0.5 M

Q. If 50 mL of a 3 M solution is diluted to 200 mL, what is the new molarity? (2020)

A. 0.75 M
B. 1.5 M
C. 2 M
D. 3 M

Solution

Using M1V1 = M2V2, (3 M)(50 mL) = M2(200 mL) => M2 = (3 M × 50 mL) / 200 mL = 0.75 M.

Correct Answer: A — 0.75 M

Q. If 50% of a group like reading, 30% like writing, and 10% like both, what percentage like only reading?

A. 40%
B. 30%
C. 20%
D. 10%

Solution

The percentage of people who like only reading is 50% - 10% = 40%.

Correct Answer: A — 40%

Q. If 50% of a group of 200 people like apples, 30% like bananas, and 10% like both, what percentage like only apples?

A. 40%
B. 30%
C. 20%
D. 10%

Solution

The percentage of people who like only apples is 50% - 10% = 40%.

Correct Answer: A — 40%

Q. If 50% of a group prefers tea, 30% prefers coffee, and 10% prefers both, what is the percentage that prefers either tea or coffee?

A. 70%
B. 80%
C. 60%
D. 50%

Solution

The percentage that prefers either tea or coffee is 50% + 30% - 10% = 70%.

Correct Answer: A — 70%

Q. If 50% of students like soccer, 30% like basketball, and 10% like both, what percentage of students like only soccer?

A. 40%
B. 30%
C. 20%
D. 10%

Solution

The percentage of students who like only soccer is 50% - 10% = 40%.

Correct Answer: A — 40%

Q. If 500 J of heat is added to a system and 200 J of work is done by the system, what is the change in internal energy?

A. 300 J
B. 500 J
C. 700 J
D. 200 J

Solution

According to the first law of thermodynamics, ΔU = Q - W. Here, ΔU = 500 J - 200 J = 300 J.

Correct Answer: A — 300 J

Q. If 500 J of heat is added to a system and 200 J of work is done by the system, what is the change in internal energy of the system?

A. 300 J
B. 500 J
C. 700 J
D. 200 J

Solution

According to the first law of thermodynamics, ΔU = Q - W. Here, ΔU = 500 J - 200 J = 300 J.

Correct Answer: A — 300 J

Q. If 500 J of heat is added to a system and it does 200 J of work, what is the change in internal energy? (2022)

A. 300 J
B. 200 J
C. 500 J
D. 700 J

Solution

According to the first law of thermodynamics, ΔU = Q - W. Here, ΔU = 500 J - 200 J = 300 J.

Correct Answer: A — 300 J

Q. If 5m + 15 = 45, what is the value of m? (2023)

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

Solution

5m + 15 = 45 => 5m = 30 => m = 6.

Correct Answer: A — 5

Q. If 5x + 3y = 15 and 2x + 4y = 10, what is the value of y?

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

Solution

From the first equation, 3y = 15 - 5x, so y = (15 - 5x)/3. Substituting into the second gives 2x + 4(15 - 5x)/3 = 10. Solving leads to y = 2.

Correct Answer: B — 2

Q. If 5x + 3y = 30 and 2x + y = 12, what is the value of x?

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

Solution

From the second equation, y = 12 - 2x. Substituting into the first gives 5x + 3(12 - 2x) = 30. Solving leads to x = 3.

Correct Answer: C — 4

Q. If 5x + 3y = 30 and 2x + y = 12, what is the value of y?

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

Solution

From the second equation, y = 12 - 2x. Substituting into the first gives 5x + 3(12 - 2x) = 30. Solving gives y = 5.

Correct Answer: B — 5

Q. If 5x - 7 < 3, what is the range of x?

A. x < 2
B. x > 2
C. x < 1
D. x > 1

Solution

5x - 7 < 3 => 5x < 10 => x < 2

Correct Answer: A — x < 2

Q. If 5x - 7 < 3, what is the value of x?

A. x < 2
B. x > 2
C. x < 1
D. x > 1

Solution

5x - 7 < 3 => 5x < 10 => x < 2

Correct Answer: A — x < 2

Q. If 5x - 7 < 3x + 1, what is the range of x?

A. x < 4
B. x > 4
C. x < 2
D. x > 2

Solution

5x - 7 < 3x + 1 => 2x < 8 => x < 4.

Correct Answer: A — x < 4

Q. If 5x = 25, what is the value of x? (2019)

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

Solution

5x = 25, so x = 25/5 = 5.

Correct Answer: A — 5

Q. If 5x = 45, what is the value of x?

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

Solution

5x = 45; x = 45 ÷ 5 = 9.

Correct Answer: B — 6

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