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 5x ≡ 10 (mod 15), what is the value of x?

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

Solution

Dividing both sides by 5 gives x ≡ 2 (mod 3), which means x can be 2.

Correct Answer: C — 2

Q. If 5y - 10 = 0, what is the value of y?

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

Solution

5y = 10; y = 10 ÷ 5 = 2.

Correct Answer: A — 2

Q. If 5^(x+1) = 125, what is the value of x?

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

Solution

125 = 5^3, so x + 1 = 3, hence x = 2.

Correct Answer: B — 2

Q. If 5^(x-1) = 25, what is the value of x?

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

Solution

Since 25 = 5^2, we have 5^(x-1) = 5^2, thus x - 1 = 2, giving x = 3.

Correct Answer: A — 2

Q. If 5^x = 125, what is the value of x?

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

Solution

125 = 5^3 => x = 3

Correct Answer: C — 3

Q. If 5^x = 25, what is the value of x?

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

Solution

Since 25 = 5^2, we have 5^x = 5^2, thus x = 2.

Correct Answer: B — 2

Q. If 6 different colored balls are to be arranged in a row, how many arrangements are possible?

A. 720
B. 600
C. 360
D. 480

Solution

The number of arrangements of 6 different colored balls is 6! = 720.

Correct Answer: A — 720

Q. If 6 people can finish a job in 8 days, how many people are needed to finish the job in 4 days?

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

Solution

6 people take 8 days, so total work = 6 * 8 = 48 person-days. To finish in 4 days, needed people = 48 / 4 = 12 people.

Correct Answer: C — 12 people

Q. If 6 workers can build a wall in 8 days, how many workers are needed to build the wall in 4 days?

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

Solution

Work = 6 workers * 8 days = 48 worker-days. To finish in 4 days, needed = 48 worker-days / 4 days = 12 workers.

Correct Answer: C — 12 workers

Q. If 6 workers can finish a job in 15 days, how many days will it take for 3 workers to finish the same job?

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

Solution

Total work = 6 workers * 15 days = 90 worker-days. For 3 workers, days = 90 / 3 = 30 days.

Correct Answer: C — 40 days

Q. If 6 workers can finish a job in 15 days, how many workers are needed to finish the job in 10 days?

A. 8 workers
B. 9 workers
C. 10 workers
D. 12 workers

Solution

If 6 workers take 15 days, then to finish in 10 days, we need (6 * 15) / 10 = 9 workers.

Correct Answer: D — 12 workers

Q. If 60% of a class of 50 students are girls, how many boys are there?

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

Solution

Number of girls = 60% of 50 = 30. Number of boys = 50 - 30 = 20.

Correct Answer: A — 20

Q. If 60% of a group of 500 are at risk, how many are not at risk?

A. 150
B. 200
C. 250
D. 300

Solution

At risk = 60% of 500 = 0.6 * 500 = 300. Not at risk = 500 - 300 = 200.

Correct Answer: B — 200

Q. If 60% of a mixture is liquid X and the rest is liquid Y, what is the ratio of liquid Y to liquid X?

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

Solution

If 60% is X, then 40% is Y. The ratio of Y to X = 40:60 = 2:3.

Correct Answer: A — 1:2

Q. If 60% of a number is 120, what is 80% of the same number?

A. 160
B. 180
C. 200
D. 240

Solution

Let the number be x. Then, 60% of x = 120. So, x = 120 / 0.6 = 200. Therefore, 80% of x = 0.8 * 200 = 160.

Correct Answer: C — 200

Q. If 60% of a society supports a new policy and there are 500 members in total, how many members support the policy?

A. 300
B. 250
C. 200
D. 350

Solution

60% of 500 is calculated as (60/100) * 500 = 300.

Correct Answer: A — 300

Q. If 60% of students in a school are enrolled in sports, 40% in arts, and 10% in both, what percentage are enrolled in only sports?

A. 50%
B. 40%
C. 30%
D. 20%

Solution

The percentage of students enrolled in only sports is 60% - 10% = 50%.

Correct Answer: A — 50%

Q. If 60% of students in a school are enrolled in sports, 40% in arts, and 10% in both, what percentage are enrolled in either?

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

Solution

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

Correct Answer: A — 90%

Q. If 60% of students in a school are girls and 40% of the girls play basketball, what percentage of the total students are girls who play basketball?

A. 24%
B. 30%
C. 40%
D. 60%

Solution

If 60% are girls and 40% of them play basketball, then 0.6 * 0.4 = 0.24 or 24% of the total students are girls who play basketball.

Correct Answer: A — 24%

Q. If 60% of students like reading fiction, 40% like reading non-fiction, and 10% like both, what percentage of students like only fiction?

A. 50%
B. 40%
C. 30%
D. 20%

Solution

The percentage of students who like only fiction is 60% - 10% = 50%.

Correct Answer: A — 50%

Q. If 60% of students like reading fiction, 40% like reading non-fiction, and 10% like both, what percentage like only fiction?

A. 50%
B. 40%
C. 30%
D. 20%

Solution

The percentage of students who like only fiction is 60% - 10% = 50%.

Correct Answer: A — 50%

Q. If 60% of students like reading fiction, 40% like reading non-fiction, and 10% like both, what percentage of students like at least one genre?

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

Solution

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

Correct Answer: A — 90%

Q. If 60% of students like reading, 40% like writing, and 10% like both, what percentage of students like only writing?

A. 30%
B. 40%
C. 10%
D. 50%

Solution

The percentage of students who like only writing is 40% - 10% = 30%.

Correct Answer: A — 30%

Q. If 60% of students like reading, 40% like writing, and 10% like both, what percentage of students like either reading or writing?

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

Solution

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

Correct Answer: A — 90%

Q. If 60% of students like reading, 40% like writing, and 10% like both, what percentage of students like only reading?

A. 50%
B. 40%
C. 30%
D. 20%

Solution

The percentage of students who like only reading is 60% - 10% = 50%.

Correct Answer: A — 50%

Q. If 60% of students play cricket, 40% play football, and 10% play both, what is the percentage of students who play either cricket or football?

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

Solution

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

Correct Answer: A — 90%

Q. If 60% of students play cricket, 40% play football, and 10% play both, what percentage of students play only one sport?

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

Solution

The percentage playing only cricket is 60% - 10% = 50%, and only football is 40% - 10% = 30%. Thus, total playing only one sport is 50% + 30% = 80%.

Correct Answer: B — 80%

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

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

Solution

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

Correct Answer: B — 80%

Q. If 60% of students play cricket, 40% play football, and 10% play both, what percentage of students play only cricket?

A. 50%
B. 40%
C. 30%
D. 20%

Solution

The percentage of students who play only cricket is 60% - 10% = 50%.

Correct Answer: A — 50%

Q. If 60% of students play cricket, 50% play football, and 30% play both, what percentage of students play either cricket or football?

A. 50%
B. 60%
C. 80%
D. 100%

Solution

Using inclusion-exclusion, the percentage playing either is 60% + 50% - 30% = 80%.

Correct Answer: C — 80%

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