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CAT MCQ & Objective Questions

The Common Admission Test (CAT) is a crucial examination for students aspiring to pursue management studies in India. Mastering CAT MCQ and objective questions is essential for scoring well and gaining admission into top institutions. Practicing these types of questions not only enhances your understanding of key concepts but also boosts your confidence during exam preparation.

What You Will Practise Here

Quantitative Aptitude: Key formulas and problem-solving techniques
Data Interpretation: Understanding graphs, charts, and tables
Logical Reasoning: Techniques to tackle complex reasoning problems
Verbal Ability: Vocabulary, grammar, and comprehension skills
General Knowledge: Current affairs and business awareness
Important CAT questions for exams: Previous year papers and sample questions

Exam Relevance

The CAT exam is not only significant for management aspirants but also serves as a benchmark for various competitive exams in India, including CBSE, State Boards, NEET, and JEE. Questions related to CAT concepts often appear in different formats, such as multiple-choice questions (MCQs) and objective-type questions. Familiarity with these patterns can greatly enhance your performance across various subjects.

Common Mistakes Students Make

Overlooking basic concepts while attempting advanced questions
Misinterpreting data in graphs and tables
Neglecting time management during practice sessions
Ignoring the importance of vocabulary in verbal ability sections

FAQs

Question: What are CAT MCQ questions?
Answer: CAT MCQ questions are multiple-choice questions designed to test your understanding of various subjects relevant to management studies.

Question: How can I find CAT objective questions with answers?
Answer: You can access a variety of CAT objective questions with answers through practice papers and online resources tailored for exam preparation.

Now is the time to take charge of your exam preparation! Start solving practice MCQs to test your understanding and improve your performance. Remember, consistent practice is the key to success in mastering CAT and achieving your academic goals.

LRDI (CAT) Quantitative Aptitude (CAT) VARC (CAT)

Q. If a number is divisible by 4, which of the following must be true?

A. It ends in 0
B. It ends in 2
C. Its last two digits form a number divisible by 4
D. It is even

Solution

A number is divisible by 4 if the number formed by its last two digits is divisible by 4.

Correct Answer: C — Its last two digits form a number divisible by 4

Q. If a number is divisible by 7, which of the following is NOT necessarily true?

A. It is odd
B. It is not a prime number
C. It can be a multiple of 14
D. It can be a two-digit number

Solution

A number can be divisible by 7 and still be even, such as 14.

Correct Answer: A — It is odd

Q. If a number is divisible by 8, which of the following must also be true?

A. It is divisible by 2
B. It is divisible by 4
C. It is a multiple of 16
D. It is a prime number

Solution

Any number divisible by 8 is also divisible by 4, as 8 is a multiple of 4.

Correct Answer: B — It is divisible by 4

Q. If a number is divisible by 8, which of the following must be true?

A. It is divisible by 2
B. It is divisible by 3
C. It is divisible by 5
D. It is divisible by 10

Solution

A number divisible by 8 is also divisible by 2, as 8 is a multiple of 2.

Correct Answer: A — It is divisible by 2

Q. If a number is divisible by 9, what can be inferred about the sum of its digits?

A. It is even
B. It is divisible by 3
C. It is divisible by 9
D. It is a prime number

Solution

A number is divisible by 9 if the sum of its digits is also divisible by 9.

Correct Answer: C — It is divisible by 9

Q. If a number is divisible by both 2 and 3, which of the following is true?

A. It is divisible by 5
B. It is divisible by 6
C. It is odd
D. It is a prime number

Solution

A number that is divisible by both 2 and 3 is also divisible by their least common multiple, which is 6.

Correct Answer: B — It is divisible by 6

Q. If a number is divisible by both 2 and 3, which of the following must also be true?

A. It is divisible by 5.
B. It is divisible by 6.
C. It is an odd number.
D. It is a prime number.

Solution

A number divisible by both 2 and 3 is also divisible by their least common multiple, which is 6.

Correct Answer: B — It is divisible by 6.

Q. If a number is divisible by both 2 and 3, which of the following must it also be divisible by?

A. 5
B. 6
C. 4
D. 9

Solution

A number divisible by both 2 and 3 is also divisible by their least common multiple, which is 6.

Correct Answer: B — 6

Q. If a number is divisible by both 2 and 5, what can be said about it?

A. It is odd
B. It is a multiple of 10
C. It is a prime number
D. It is a multiple of 20

Solution

A number divisible by both 2 and 5 must end in 0, making it a multiple of 10.

Correct Answer: B — It is a multiple of 10

Q. If a number is divisible by both 2 and 5, which of the following must be true?

A. It is divisible by 10
B. It is divisible by 15
C. It is divisible by 20
D. It is divisible by 25

Solution

A number divisible by both 2 and 5 is also divisible by 10, as 10 is the least common multiple of 2 and 5.

Correct Answer: A — It is divisible by 10

Q. If a number is divisible by both 3 and 4, which of the following must also be true?

A. It is divisible by 12.
B. It is divisible by 7.
C. It is divisible by 6.
D. It is divisible by 9.

Solution

The least common multiple of 3 and 4 is 12, so any number divisible by both must also be divisible by 12.

Correct Answer: A — It is divisible by 12.

Q. If a number is divisible by both 3 and 5, which of the following is guaranteed to be true?

A. It is divisible by 15
B. It is divisible by 8
C. It is divisible by 10
D. It is divisible by 6

Solution

A number divisible by both 3 and 5 is also divisible by their least common multiple, which is 15.

Correct Answer: A — It is divisible by 15

Q. If a number is divisible by both 3 and 5, which of the following must also be true?

A. It is divisible by 15
B. It is divisible by 8
C. It is divisible by 10
D. It is not divisible by 6

Solution

A number divisible by both 3 and 5 is also divisible by their LCM, which is 15.

Correct Answer: A — It is divisible by 15

Q. If a number is divisible by both 4 and 6, which of the following must also be true? (2023)

A. It is divisible by 12.
B. It is divisible by 24.
C. It is divisible by 10.
D. It is not divisible by 2.

Solution

The least common multiple of 4 and 6 is 12, so any number divisible by both must also be divisible by 12.

Correct Answer: A — It is divisible by 12.

Q. If a number is divisible by both 5 and 10, which of the following can be concluded?

A. It is a multiple of 15.
B. It is a multiple of 20.
C. It is a multiple of 50.
D. It is a multiple of 10.

Solution

Any number divisible by 10 is also a multiple of 10.

Correct Answer: D — It is a multiple of 10.

Q. If a number is divisible by both 6 and 8, which of the following must it also be divisible by?

A. 12
B. 24
C. 18
D. 36

Solution

The least common multiple of 6 and 8 is 24, so any number divisible by both must also be divisible by 24.

Correct Answer: B — 24

Q. If a number is divisible by both 8 and 12, what is the smallest number it could be?

A. 24
B. 48
C. 96
D. 72

Solution

The least common multiple of 8 and 12 is 24, so the smallest number divisible by both is 24.

Correct Answer: B — 48

Q. If a number is divisible by both 8 and 12, which of the following must also be true?

A. It is divisible by 24.
B. It is divisible by 16.
C. It is divisible by 20.
D. It is divisible by 32.

Solution

The least common multiple of 8 and 12 is 24, so any number divisible by both must also be divisible by 24.

Correct Answer: A — It is divisible by 24.

Q. If a number is divisible by both 8 and 12, which of the following must it also be divisible by?

A. 16
B. 24
C. 20
D. 36

Solution

The least common multiple of 8 and 12 is 24, so the number must be divisible by 24.

Correct Answer: B — 24

Q. If a number is divisible by both 9 and 12, which of the following is guaranteed to be true?

A. It is divisible by 36.
B. It is divisible by 108.
C. It is divisible by 27.
D. It is divisible by 18.

Solution

The least common multiple of 9 and 12 is 36, and since 36 is divisible by 18, the number must also be divisible by 18.

Correct Answer: D — It is divisible by 18.

Q. If a number is expressed as 5k + 3 for some integer k, what is the remainder when this number is divided by 5? (2023)

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

Solution

The term 5k is divisible by 5, so the remainder is solely from 3, which is 3.

Correct Answer: D — 3

Q. If a number is expressed as 5k + 3, where k is an integer, what is the remainder when this number is divided by 5?

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

Solution

The remainder is 3, as 5k is divisible by 5.

Correct Answer: D — 3

Q. If a number is increased by 15% and the result is 115, what is the original number?

A. 90
B. 100
C. 105
D. 110

Solution

Let the original number be x. Then, x + 0.15x = 115, or 1.15x = 115. Thus, x = 115 / 1.15 = 100.

Correct Answer: B — 100

Q. If a number is increased by 20% and then decreased by 20%, what is the net change in the number?

A. 0%
B. 4%
C. 2%
D. 5%

Solution

Let the number be 100. After a 20% increase, it becomes 120. After a 20% decrease, it becomes 96. Net change = (96-100)/100 * 100% = -4%.

Correct Answer: A — 0%

Q. If a number leaves a remainder of 1 when divided by 3 and a remainder of 2 when divided by 4, what is the smallest positive integer that satisfies these conditions?

A. 5
B. 10
C. 11
D. 14

Solution

The smallest number that satisfies both conditions is 11 (11 % 3 = 2 and 11 % 4 = 3).

Correct Answer: C — 11

Q. If a number leaves a remainder of 1 when divided by 4 and a remainder of 2 when divided by 5, what is the smallest positive integer that satisfies these conditions?

A. 6
B. 9
C. 11
D. 14

Solution

The smallest number satisfying both conditions is 9, as 9 mod 4 = 1 and 9 mod 5 = 4.

Correct Answer: A — 6

Q. If a number leaves a remainder of 1 when divided by 4 and a remainder of 2 when divided by 5, what is the maximum possible value of this number? (2023)

A. 9
B. 14
C. 19
D. 24

Solution

The maximum number satisfying both conditions is 19 (19 % 4 = 3 and 19 % 5 = 4).

Correct Answer: C — 19

Q. If a number leaves a remainder of 1 when divided by 4 and a remainder of 2 when divided by 5, what is the smallest such number?

A. 9
B. 6
C. 11
D. 14

Solution

The smallest number that satisfies both conditions is 9.

Correct Answer: A — 9

Q. If a number leaves a remainder of 2 when divided by 4 and a remainder of 3 when divided by 5, what is the smallest such number?

A. 2
B. 7
C. 12
D. 17

Solution

The smallest number that satisfies both conditions is 7 (7 % 4 = 3 and 7 % 5 = 2).

Correct Answer: B — 7

Q. If a number leaves a remainder of 2 when divided by 5 and a remainder of 3 when divided by 7, what is the smallest such number?

A. 12
B. 17
C. 23
D. 29

Solution

The smallest number satisfying both conditions is 12, as 12 mod 5 = 2 and 12 mod 7 = 5.

Correct Answer: A — 12

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