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 a woman donates 10% of her salary of $60,000 to charity, how much does she donate?

A. $6,000
B. $5,000
C. $7,000
D. $8,000

Solution

Donation amount = $60,000 * 0.10 = $6,000.

Correct Answer: A — $6,000

Q. If a woman earns $50,000 a year and receives a 10% raise, what will her new salary be?

A. $55,000
B. $52,000
C. $60,000
D. $50,500

Solution

New salary = $50,000 + ($50,000 * 0.10) = $50,000 + $5,000 = $55,000.

Correct Answer: A — $55,000

Q. If a woman spends 25% of her income on education and her total income is $40,000, how much does she spend on education?

A. $10,000
B. $8,000
C. $12,000
D. $15,000

Solution

Amount spent on education = $40,000 * 0.25 = $10,000.

Correct Answer: A — $10,000

Q. If a woman with blood type A (genotype AO) has a child with a man with blood type B (genotype BO), what are the possible blood types of their child?

A. A, B, AB, O
B. A, B, AB
C. A, O
D. B, O

Solution

The possible blood types from AO x BO are A, B, AB, and O.

Correct Answer: A — A, B, AB, O

Q. If a worker completes a task in 4 hours, how long will it take 3 workers to complete the same task working together?

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

Solution

3 workers can complete the task in 4/3 hours, which is 1 hour and 20 minutes, approximately 2 hours.

Correct Answer: B — 2 hours

Q. If a worker completes a task in 4 hours, how many tasks can he complete in a 40-hour work week?

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

Solution

In a 40-hour week, he can complete 10 tasks (40 hours / 4 hours per task).

Correct Answer: B — 10 tasks

Q. If a worker has a shift from 2 PM to 10 PM, what is the duration of the shift?

A. 6 hours
B. 7 hours
C. 8 hours
D. 9 hours

Solution

The shift lasts for 8 hours.

Correct Answer: C — 8 hours

Q. If a worker has a shift from 9 AM to 5 PM, how many hours do they work?

A. 6 hours
B. 7 hours
C. 8 hours
D. 9 hours

Solution

The worker works for 8 hours (5 PM - 9 AM).

Correct Answer: C — 8 hours

Q. If a worker has a shift from 9:00 AM to 5:00 PM, how many hours do they work?

A. 6 hours
B. 7 hours
C. 8 hours
D. 9 hours

Solution

From 9:00 AM to 5:00 PM is 8 hours.

Correct Answer: C — 8 hours

Q. If a worker has a shift that rotates every week, and this week they work Monday to Friday, which day will they work next week?

A. Saturday
B. Sunday
C. Monday
D. Tuesday

Solution

The shift rotates weekly, so they will work Monday to Friday again next week.

Correct Answer: C — Monday

Q. If a workshop increases participants' emotional intelligence scores by an average of 15 points, what will be the new average if the current average is 82?

A. 97
B. 92
C. 87
D. 85

Solution

New average = Current average + Increase = 82 + 15 = 97.

Correct Answer: B — 92

Q. If a ≡ 2 (mod 3) and b ≡ 1 (mod 3), what is the value of (a * b) mod 3?

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

Solution

a * b ≡ 2 * 1 ≡ 2 (mod 3).

Correct Answer: B — 1

Q. If a ≡ 2 (mod 5) and b ≡ 3 (mod 5), what is the value of (a * b) mod 5?

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

Solution

a * b ≡ 2 * 3 ≡ 6 (mod 5), which is equivalent to 1.

Correct Answer: B — 1

Q. If a ≡ 3 (mod 7) and b ≡ 5 (mod 7), what is a + b (mod 7)?

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

Solution

a + b ≡ 3 + 5 ≡ 8 ≡ 1 (mod 7).

Correct Answer: A — 1

Q. If a ≡ b (mod m) and c ≡ d (mod m), which of the following is necessarily true?

A. a + c ≡ b + d (mod m)
B. a * c ≡ b * d (mod m)
C. a - c ≡ b - d (mod m)
D. All of the above

Solution

All operations (addition, multiplication, and subtraction) preserve congruence in modular arithmetic.

Correct Answer: D — All of the above

Q. If a ≡ b (mod m) and c ≡ d (mod m), which of the following is true?

A. a + c ≡ b + d (mod m)
B. a - c ≡ b - d (mod m)
C. a * c ≡ b * d (mod m)
D. All of the above

Solution

All operations (addition, subtraction, multiplication) maintain congruence under modular arithmetic.

Correct Answer: D — All of the above

Q. If A ≤ B and B < C, which of the following is true?

A. A < C
B. C < A
C. B = A
D. C < B

Solution

From A ≤ B and B < C, we can conclude A < C.

Correct Answer: A — A < C

Q. If A(1, 2, 3) and B(4, 5, 6) are two points in space, what is the vector AB?

A. (3, 3, 3)
B. (2, 3, 4)
C. (1, 1, 1)
D. (0, 0, 0)

Solution

Vector AB = B - A = (4-1, 5-2, 6-3) = (3, 3, 3).

Correct Answer: A — (3, 3, 3)

Q. If A(1, 2, 3) and B(4, 5, 6) are two points, what is the vector AB?

A. (3, 3, 3)
B. (3, 3, 0)
C. (0, 0, 0)
D. (1, 1, 1)

Solution

Vector AB = B - A = (4-1, 5-2, 6-3) = (3, 3, 3).

Correct Answer: A — (3, 3, 3)

Q. If A(2, 3, 4) and B(1, 0, -1) are two points in space, find the vector AB.

A. (1, 3, 5)
B. (1, -3, -5)
C. (1, 3, -5)
D. (1, -3, 5)

Solution

AB = B - A = (1 - 2, 0 - 3, -1 - 4) = (-1, -3, -5) = (1, 3, 5) in the opposite direction.

Correct Answer: A — (1, 3, 5)

Q. If A, B, and C invest in a business in the ratio of 1:2:3 and the total profit is $120,000, how much does C receive?

A. $30,000
B. $40,000
C. $50,000
D. $60,000

Solution

C's share = (C's ratio / Total ratio) * Total profit = (3 / 6) * 120000 = $60,000.

Correct Answer: B — $40,000

Q. If A, B, and C invest in a business in the ratio of 2:3:5 and the total profit is $50,000, how much does A receive?

A. $10,000
B. $15,000
C. $20,000
D. $25,000

Solution

Total parts = 2 + 3 + 5 = 10. A's share = (2/10) * 50000 = $10,000.

Correct Answer: B — $15,000

Q. If A, B, C, D, and E are seated in a circle and A is between B and C, who is sitting opposite D?

A. B
B. C
C. E
D. A

Solution

If A is between B and C, then E must be opposite D.

Correct Answer: C — E

Q. If A, B, C, D, and E are seated in a circle and A is not next to B, which of the following statements must be true?

A. C is next to D
B. E is next to A
C. B is next to D
D. C is not next to E

Solution

Since A is not next to B, it is possible for B to be next to D, making this statement true in some arrangements.

Correct Answer: C — B is next to D

Q. If A, B, C, D, and E are sitting in a circle and A is to the right of B, who is sitting to the left of D if C is opposite A?

A. B
B. E
C. A
D. C

Solution

Arranging A, B, C, D, and E, we find that E is to the left of D.

Correct Answer: B — E

Q. If A, B, C, D, E, and F are seated in a circle and A is between B and C, who is sitting directly opposite D?

A. E
B. F
C. B
D. C

Solution

By arranging A, B, and C, we can find the positions of D, E, and F. The person opposite D will be F.

Correct Answer: B — F

Q. If Alice has a meeting at 10 AM and it lasts for 2 hours, what time will she be free?

A. 11 AM
B. 12 PM
C. 1 PM
D. 10 AM

Solution

Alice will be free at 12 PM after her 2-hour meeting.

Correct Answer: B — 12 PM

Q. If all birds can fly and a penguin is a bird, what can we conclude?

A. Penguins can fly
B. Penguins cannot fly
C. All birds are penguins
D. Some birds cannot fly

Solution

Although penguins are birds, they are an exception and cannot fly.

Correct Answer: B — Penguins cannot fly

Q. If all birds can fly and some animals cannot fly, which of the following must be true?

A. Some animals are not birds.
B. All animals are birds.
C. All birds are animals.
D. Some birds cannot fly.

Solution

Since not all animals can fly, it must be true that some animals are not birds, as all birds can fly.

Correct Answer: A — Some animals are not birds.

Q. If all birds can fly and some birds are penguins, which of the following statements is true?

A. Penguins can fly.
B. Not all birds can fly.
C. All penguins are birds.
D. Some birds cannot fly.

Solution

The premise contradicts itself, as it states that all birds can fly while also stating that some birds are penguins, which cannot fly.

Correct Answer: B — Not all birds can fly.

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