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 60% of students play football, 40% play basketball, and 10% play both, what percentage of students play either sport?

A. 90%
B. 80%
C. 70%
D. 60%

Solution

Using inclusion-exclusion, the percentage playing either sport is 60% + 40% - 10% = 90%.

Correct Answer: A — 90%

Q. If 60% of students play football, 40% play basketball, and 10% play both, what percentage of students play either football or basketball?

A. 90%
B. 80%
C. 70%
D. 60%

Solution

Using inclusion-exclusion, the percentage of students who play either sport is: 60% + 40% - 10% = 90%.

Correct Answer: A — 90%

Q. If 6a + 4 = 28, what is the value of a? (2023)

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

Solution

6a + 4 = 28 => 6a = 24 => a = 4.

Correct Answer: B — 4

Q. If 6x + 4 > 10, what is the value of x?

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

Solution

6x + 4 > 10 => 6x > 6 => x > 1.

Correct Answer: B — x > 1

Q. If 6x + 5 = 2x + 29, what is the value of x?

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

Solution

Subtract 2x from both sides: 4x + 5 = 29. Subtract 5: 4x = 24. Divide by 4: x = 6.

Correct Answer: A — 4

Q. If 6x - 2 = 4x + 10, what is the value of x?

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

Solution

Subtract 4x from both sides: 2x - 2 = 10. Add 2: 2x = 12. Divide by 2: x = 6.

Correct Answer: A — 4

Q. If 7 - 2x > 3, what is the value of x?

A. x < 2
B. x > 2
C. x ≤ 2
D. x ≥ 2

Solution

7 - 2x > 3 => -2x > -4 => x < 2.

Correct Answer: B — x > 2

Q. If 7 - 2x < 1, what is the value of x?

A. x < 3
B. x > 3
C. x = 3
D. x = 4

Solution

Rearranging gives 6 < 2x, thus x > 3.

Correct Answer: B — x > 3

Q. If 7 - 2x ≥ 1, what is the range of x?

A. x ≤ 3
B. x ≥ 3
C. x < 3
D. x > 3

Solution

7 - 2x ≥ 1 => -2x ≥ -6 => x ≤ 3

Correct Answer: B — x ≥ 3

Q. If 7 - 2x ≥ 3, what is the value of x?

A. x ≤ 2
B. x ≥ 2
C. x < 2
D. x > 2

Solution

7 - 2x ≥ 3 => -2x ≥ -4 => x ≤ 2.

Correct Answer: B — x ≥ 2

Q. If 7 - 3x ≤ 1, what is the value of x?

A. x ≤ 2
B. x ≥ 2
C. x < 2
D. x > 2

Solution

7 - 3x ≤ 1 => -3x ≤ -6 => x ≥ 2.

Correct Answer: B — x ≥ 2

Q. If 7 - 3x ≥ 1, what is the solution for x?

A. x ≤ 2
B. x ≥ 2
C. x ≤ 3
D. x ≥ 3

Solution

7 - 3x ≥ 1 => -3x ≥ -6 => x ≤ 2.

Correct Answer: B — x ≥ 2

Q. If 7 workers can complete a job in 14 days, how many workers are needed to complete the job in 7 days?

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

Solution

7 workers * 14 days = 98 worker-days. For 7 days, needed = 98 / 7 = 14 workers.

Correct Answer: C — 14 workers

Q. If 70% of students in a school play cricket, 50% play football, and 20% play both, what percentage of students play either cricket or football?

A. 100%
B. 90%
C. 80%
D. 70%

Solution

Using inclusion-exclusion, the percentage of students who play either cricket or football is 70% + 50% - 20% = 100%.

Correct Answer: B — 90%

Q. If 70% of students in a school play football, 50% play basketball, and 20% play both, what percentage of students play either football or basketball?

A. 100%
B. 90%
C. 80%
D. 70%

Solution

Using inclusion-exclusion, the percentage of students who play either sport is 70% + 50% - 20% = 100%.

Correct Answer: B — 90%

Q. If 70% of students play football, 50% play basketball, and 20% play both, what percentage of students play either football or basketball?

A. 100%
B. 90%
C. 80%
D. 70%

Solution

Using inclusion-exclusion, the percentage of students who play either sport is 70% + 50% - 20% = 100%.

Correct Answer: B — 90%

Q. If 7x + 1 ≥ 15, what is the value of x?

A. x ≥ 2
B. x < 2
C. x > 2
D. x ≤ 2

Solution

7x + 1 ≥ 15 => 7x ≥ 14 => x ≥ 2

Correct Answer: A — x ≥ 2

Q. If 7x - 3 = 4x + 6, what is the value of x?

A. 3
B. 2
C. 1
D. 0

Solution

Subtracting 4x from both sides gives 3x - 3 = 6, then adding 3 gives 3x = 9, leading to x = 3.

Correct Answer: B — 2

Q. If 7x = 21, what is the value of x?

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

Solution

Dividing both sides by 7 gives x = 3.

Correct Answer: C — 3

Q. If 7x ≡ 3 (mod 5), what is the value of x?

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

Solution

To solve 7x ≡ 3 (mod 5), we first reduce 7 mod 5 to get 2x ≡ 3 (mod 5). The solution is x ≡ 4 (mod 5), which corresponds to 2.

Correct Answer: C — 3

Q. If 7^(2x) = 49, what is the value of x? (2023)

A. 0
B. 1
C. 2
D. 3

Solution

Since 49 can be expressed as 7^2, we have 7^(2x) = 7^2, thus 2x = 2, leading to x = 1.

Correct Answer: B — 1

Q. If 7^(x) = 1/49, what is the value of x? (2023)

A. -2
B. 2
C. 0
D. -1

Solution

Since 1/49 can be expressed as 7^(-2), we have 7^x = 7^(-2), thus x = -2.

Correct Answer: A — -2

Q. If 7^(x) = 49, what is the value of x?

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

Solution

49 = 7^2, so x = 2.

Correct Answer: B — 2

Q. If 8 liters of a mixture contains 25% sugar, how much sugar is in the mixture?

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

Solution

Sugar in the mixture = 25% of 8L = 0.25 * 8 = 2L.

Correct Answer: B — 2 liters

Q. If 8 liters of paint can cover 100 square meters, how many liters are needed to cover 250 square meters?

A. 15 liters
B. 16 liters
C. 20 liters
D. 25 liters

Solution

8 liters cover 100 square meters, so for 250 square meters, (250/100) * 8 = 20 liters.

Correct Answer: C — 20 liters

Q. If 8 people can complete a project in 12 days, how many people are needed to complete the project in 6 days?

A. 12 people
B. 16 people
C. 20 people
D. 24 people

Solution

If 8 people take 12 days, then the total work is 8 * 12 = 96 person-days. To complete in 6 days, needed people = 96 / 6 = 16 people.

Correct Answer: B — 16 people

Q. If 8 people can finish a project in 12 days, how many people are needed to finish the project in 6 days?

A. 12 people
B. 16 people
C. 20 people
D. 24 people

Solution

Work done = People * Days. 8 * 12 = 96 person-days. To finish in 6 days, needed = 96 / 6 = 16 people.

Correct Answer: B — 16 people

Q. If 8 workers can build a wall in 12 days, how many days will it take for 4 workers to build the same wall?

A. 24 days
B. 30 days
C. 36 days
D. 48 days

Solution

If 8 workers take 12 days, then 4 workers will take 12 * (8/4) = 24 days.

Correct Answer: C — 36 days

Q. If 8 workers can build a wall in 15 days, how many days will it take for 4 workers to build the same wall?

A. 30 days
B. 35 days
C. 40 days
D. 45 days

Solution

8 workers take 15 days, so total work = 8 * 15 = 120 worker-days. For 4 workers, days = 120 / 4 = 30 days.

Correct Answer: C — 40 days

Q. If 8 workers can complete a job in 12 days, how many days will it take for 4 workers to complete the same job?

A. 24 days
B. 30 days
C. 36 days
D. 48 days

Solution

If 8 workers take 12 days, then 4 workers will take 12 * (8/4) = 24 days.

Correct Answer: C — 36 days

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