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 set is defined as {x | x is a letter in the English alphabet that is a vowel}, which of the following letters is NOT in the set?

A. A
B. E
C. I
D. Y

Solution

The vowels in the English alphabet are A, E, I, O, and U. The letter Y is sometimes considered a vowel but is not classified as one in this context.

Correct Answer: D — Y

Q. If a set is defined as {x | x is a natural number and x < 10}, which of the following is a valid element of this set?

A. 10
B. 5
C. 0
D. 15

Solution

The valid element of the set is 5, as it is a natural number and less than 10.

Correct Answer: B — 5

Q. If a set is defined as {x | x is a natural number and x < 10}, which of the following is the correct representation of this set?

A. {1, 2, 3, 4, 5, 6, 7, 8, 9}
B. {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}
C. {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
D. {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11}

Solution

The correct representation of the set is {1, 2, 3, 4, 5, 6, 7, 8, 9}, as it includes all natural numbers less than 10.

Correct Answer: A — {1, 2, 3, 4, 5, 6, 7, 8, 9}

Q. If a set is defined as {x | x is a natural number and x < 10}, which of the following is the largest element in this set?

A. 8
B. 9
C. 10
D. 7

Solution

The largest natural number less than 10 is 9, making it the largest element in the defined set.

Correct Answer: B — 9

Q. If a set is defined as {x | x is a natural number and x < 5}, which of the following elements is NOT part of this set?

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

Solution

The element '5' is not part of the set because the constraint specifies that x must be less than 5.

Correct Answer: C — 5

Q. If a set is defined as {x | x is a natural number less than 20 and even}, which of the following numbers is included in the set?

A. 1
B. 3
C. 10
D. 21

Solution

The even natural numbers less than 20 are 2, 4, 6, 8, 10, 12, 14, 16, and 18. Therefore, 10 is included in the set.

Correct Answer: C — 10

Q. If a set is defined as {x | x is a positive integer and x is a divisor of 12}, which of the following is NOT an element of this set?

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

Solution

The divisors of 12 are 1, 2, 3, 4, and 6, so 5 is not an element of this set.

Correct Answer: D — 5

Q. If a set is defined as {x | x is a positive integer and x is a multiple of 3}, which of the following is NOT an element of this set?

A. 3
B. 6
C. 9
D. 10

Solution

The number '10' is not a multiple of 3, hence it is not an element of the set.

Correct Answer: D — 10

Q. If a set is defined as {x | x is a prime number less than 10}, which of the following elements is NOT in the set?

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

Solution

The set includes prime numbers less than 10, which are 2, 3, 5, and 7. The number 4 is not a prime number.

Correct Answer: D — 4

Q. If a set is defined as {x | x is a prime number less than 20}, which of the following elements is NOT included in the set?

A. 2
B. 3
C. 4
D. 19

Solution

The number 4 is not a prime number, hence it is not included in the set of prime numbers less than 20.

Correct Answer: C — 4

Q. If a set is defined as {x | x is a prime number less than 20}, which of the following elements is NOT included in this set?

A. 2
B. 3
C. 4
D. 19

Solution

The number 4 is not a prime number, hence it is not included in the set of prime numbers less than 20.

Correct Answer: C — 4

Q. If a set is defined as {x | x is an even number greater than 0 and less than 20}, which of the following is NOT an element of this set?

A. 2
B. 4
C. 10
D. 21

Solution

The number 21 is not included in the set as it does not meet the criteria of being less than 20.

Correct Answer: D — 21

Q. If a set is defined as {x | x is an integer and 1 ≤ x ≤ 10}, which of the following is a valid operation on this set?

A. Adding 5 to each element.
B. Removing all even numbers.
C. Doubling each element.
D. All of the above.

Solution

All the operations listed can be validly performed on the set defined by the constraints.

Correct Answer: D — All of the above.

Q. If a set is defined by the constraint of being a natural number, which of the following is included?

A. -1
B. 0
C. 1
D. 2.5

Solution

1 is a natural number, while -1 and 0 are not considered natural numbers, and 2.5 is not an integer.

Correct Answer: C — 1

Q. If a set is defined by the constraints 'x is a natural number and x < 10', which of the following is an element of this set?

A. 10
B. 5
C. 0
D. -3

Solution

5 is a natural number and is less than 10, making it a valid element of the set defined by the given constraints.

Correct Answer: B — 5

Q. If a set is defined by the constraints 'x is a real number and x^2 < 16', which of the following is NOT an element of this set?

A. −3
B. 3
C. 4
D. −4

Solution

4 is not an element of the set because it does not satisfy the constraint x^2 < 16 (since 4^2 = 16).

Correct Answer: C — 4

Q. If a set is defined by the constraints 'x is a real number and x^2 < 4', which of the following intervals represents this set?

A. (-2, 2)
B. (-4, 4)
C. (-2, 2]
D. [0, 2)

Solution

The interval (-2, 2) represents all real numbers whose square is less than 4.

Correct Answer: A — (-2, 2)

Q. If a set is defined by the constraints 'x is an integer and x > 5', which of the following is NOT an element of this set?

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

Solution

5 is not an element of the set because it does not satisfy the constraint 'x > 5'.

Correct Answer: C — 5

Q. If a set is defined by the constraints of being a vowel and a letter in the English alphabet, which of the following is an example of an element in this set?

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

Solution

A is a vowel and meets the constraints of being a letter in the English alphabet.

Correct Answer: C — A

Q. If a set is defined by the constraints of being both a multiple of 3 and less than 30, which of the following is an element of this set?

A. 9
B. 10
C. 15
D. 31

Solution

9 is a multiple of 3 and less than 30, making it a valid element of the defined set.

Correct Answer: A — 9

Q. If a set of students is defined by the constraint of having a GPA above 3.5, which of the following students would be included?

A. Alice with a GPA of 3.4
B. Bob with a GPA of 3.6
C. Charlie with a GPA of 3.5
D. Diana with a GPA of 3.2

Solution

Bob is the only student with a GPA above 3.5, thus he is included in the set.

Correct Answer: B — Bob with a GPA of 3.6

Q. If a shift starts at 10 PM and ends at 6 AM, how long is the shift?

A. 6 hours
B. 8 hours
C. 10 hours
D. 4 hours

Solution

The shift lasts for 8 hours from 10 PM to 6 AM.

Correct Answer: A — 6 hours

Q. If a shift starts at 10 PM and lasts for 8 hours, what time does it end?

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

Solution

An 8-hour shift starting at 10 PM ends at 6 AM.

Correct Answer: A — 6 AM

Q. If a shift starts at 11:00 PM and ends at 7:00 AM, how many hours does it cover?

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

Solution

The shift covers 8 hours.

Correct Answer: C — 8 hours

Q. If a shift starts at 6 PM and lasts for 8 hours, what time does it end?

A. 2 AM
B. 10 PM
C. 12 AM
D. 8 PM

Solution

The shift ends at 2 AM (6 PM + 8 hours).

Correct Answer: B — 10 PM

Q. If a shift starts at 6:00 AM and lasts for 8 hours, what time does it end?

A. 2:00 PM
B. 1:00 PM
C. 3:00 PM
D. 4:00 PM

Solution

6:00 AM + 8 hours = 2:00 PM.

Correct Answer: A — 2:00 PM

Q. If a shift starts at 9:00 AM and ends at 5:00 PM, how many hours is the shift?

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

Solution

The shift is 8 hours long.

Correct Answer: B — 8 hours

Q. If a shirt costs $25 and is on a 20% discount, what is the sale price?

A. $20
B. $22
C. $24
D. $25

Solution

Discount = 20% of $25 = $5. Sale price = $25 - $5 = $20.

Correct Answer: B — $22

Q. If a shirt costs $30 and is on a 20% discount, what is the sale price?

A. $24
B. $25
C. $26
D. $27

Solution

Discount = 20% of $30 = $6. Sale price = $30 - $6 = $24.

Correct Answer: A — $24

Q. If a shirt costs $40 after a 20% discount, what was its original price?

A. $50
B. $45
C. $40
D. $60

Solution

Let the original price be x. Then, x - 0.2x = 40, so 0.8x = 40, thus x = 50.

Correct Answer: A — $50

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