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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 the first term of a harmonic progression is 1 and the common difference of the corresponding arithmetic progression is 1, what is the second term?

A. 1/2
B. 1/3
C. 1/4
D. 1/5

Solution

The first term is 1, and the reciprocal of the second term in HP is 1 + 1 = 2. Therefore, the second term is 1/2.

Correct Answer: A — 1/2

Q. If the first term of a harmonic progression is 1 and the common difference of the corresponding arithmetic progression is 2, what is the second term of the harmonic progression?

A. 1/2
B. 1/3
C. 1/4
D. 1/5

Solution

The first term is 1, and the second term's reciprocal will be 1 + 2 = 3. Therefore, the second term is 1/3.

Correct Answer: A — 1/2

Q. If the first term of a harmonic progression is 1 and the second term is 1/2, what is the common difference of the corresponding arithmetic progression?

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

Solution

The reciprocals are 1 and 2, which have a common difference of 1.

Correct Answer: A — 1/2

Q. If the first term of a harmonic progression is 1 and the second term is 1/3, what is the third term?

A. 1/2
B. 1/4
C. 1/6
D. 1/8

Solution

The reciprocals of the terms are 1, 3, and 1/x. The common difference is 2, so 1/x = 3 + 2 = 5, thus x = 1/5.

Correct Answer: C — 1/6

Q. If the first term of a harmonic progression is 3 and the second term is 6, what is the common difference of the corresponding arithmetic progression?

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

Solution

The reciprocals are 1/3 and 1/6. The common difference is (1/6 - 1/3) = -1/6, which corresponds to a common difference of 1 in the arithmetic progression.

Correct Answer: B — 2

Q. If the first term of a harmonic progression is 4 and the common difference of the corresponding arithmetic progression is 2, what is the second term?

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

Solution

The first term is 4, and the reciprocal is 1/4. The second term's reciprocal will be 1/4 + 2 = 9/4, so the second term is 4/9.

Correct Answer: D — 5

Q. If the first term of a harmonic progression is 5 and the common difference of the corresponding arithmetic progression is 2, what is the second term?

A. 2
B. 3
C. 4
D. 6

Solution

The first term in the arithmetic progression is 1/5, and the common difference is 2. Therefore, the second term in the harmonic progression is 1/(1/5 + 2) = 1/(2.2) = 5/11.

Correct Answer: D — 6

Q. If the first term of a harmonic progression is 5 and the common difference of the corresponding arithmetic progression is 2, what is the second term of the harmonic progression?

A. 2.5
B. 3.33
C. 4
D. 6

Solution

The first term is 5, and the second term's reciprocal is 1/5 + 2 = 1/5 + 2/1 = 11/5. Therefore, the second term is 5/11, which is approximately 0.45.

Correct Answer: B — 3.33

Q. If the first term of a harmonic progression is 5 and the second term is 10, what is the third term?

A. 15
B. 20
C. 25
D. 30

Solution

The reciprocals are 1/5 and 1/10. The common difference is -1/10. The third term's reciprocal will be 1/10 - 1/10 = 1/15, so the third term is 15.

Correct Answer: C — 25

Q. If the first term of a harmonic progression is 5 and the second term is 10, what is the fourth term?

A. 15
B. 20
C. 25
D. 30

Solution

The reciprocals are 1/5 and 1/10. The common difference is -1/10. The fourth term's reciprocal will be 1/10 - 1/10 = 1/25, hence the fourth term is 25.

Correct Answer: C — 25

Q. If the first term of a harmonic progression is 5 and the second term is 10, what is the sum of the first three terms?

A. 15
B. 20
C. 25
D. 30

Solution

The first term is 5, the second term is 10, and the third term can be calculated as 1/(1/5 + 1/10) = 3.33. The sum is 5 + 10 + 3.33 = 18.33, which rounds to 20.

Correct Answer: B — 20

Q. If the first term of a series is 10 and the last term is 50 with a common difference of 5, how many terms are in the series? (2023)

A. 8
B. 9
C. 10
D. 11

Solution

The number of terms n can be calculated using the formula: n = (last - first) / difference + 1. Here, n = (50 - 10) / 5 + 1 = 9.

Correct Answer: B — 9

Q. If the first term of an arithmetic progression is 12 and the last term is 48, with a total of 10 terms, what is the common difference?

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

Solution

The last term can be expressed as a + (n-1)d. Here, 48 = 12 + 9d. Solving gives d = 4.

Correct Answer: A — 4

Q. If the first term of an arithmetic progression is 3 and the common difference is 5, what is the sum of the first 6 terms?

A. 90
B. 75
C. 60
D. 45

Solution

Using the sum formula, S_6 = 6/2 * (2*3 + 5*5) = 3 * 33 = 99.

Correct Answer: A — 90

Q. If the first term of an arithmetic progression is 4 and the sum of the first 6 terms is 60, what is the common difference?

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

Solution

Using the sum formula S_n = n/2 * (2a + (n-1)d), we have 60 = 6/2 * (8 + 5d). Solving gives d = 3.

Correct Answer: B — 3

Q. If the first term of an arithmetic progression is 7 and the common difference is -2, what is the 6th term?

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

Solution

The nth term is given by a + (n-1)d. Here, a = 7, d = -2, and n = 6. So, the 6th term = 7 + (6-1)(-2) = 7 - 10 = -3.

Correct Answer: A — -1

Q. If the first term of an arithmetic progression is 7 and the common difference is 2, what is the 15th term?

A. 37
B. 39
C. 35
D. 40

Solution

Using the formula for the nth term, a + (n-1)d = 7 + 14*2 = 7 + 28 = 35.

Correct Answer: A — 37

Q. If the first term of an arithmetic progression is 7 and the common difference is -2, what is the 8th term?

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

Solution

Using the formula for the nth term, a + (n-1)d = 7 + (8-1)(-2) = 7 - 14 = -7.

Correct Answer: A — -1

Q. If the first term of an arithmetic progression is 7 and the last term is 37, with a total of 16 terms, what is the common difference?

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

Solution

Using the formula for the last term, l = a + (n-1)d, we have 37 = 7 + (16-1)d. Solving gives d = 2.

Correct Answer: A — 2

Q. If the first term of an arithmetic progression is 8 and the last term is 50, with a total of 10 terms, what is the common difference? (2023)

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

Solution

Using the formula for the nth term, we have 50 = 8 + (10-1)d. Solving for d gives us d = 5.

Correct Answer: B — 5

Q. If the first term of an arithmetic sequence is 5 and the common difference is 3, what is the 10th term? (2023)

A. 32
B. 35
C. 30
D. 28

Solution

The nth term of an arithmetic sequence is given by a + (n-1)d. Here, a = 5, d = 3, n = 10. So, 5 + (10-1)3 = 32.

Correct Answer: A — 32

Q. If the first three terms of a harmonic progression are 1, 1/2, and 1/3, what is the common difference of the corresponding arithmetic progression?

A. 1/6
B. 1/3
C. 1/2
D. 1

Solution

The reciprocals are 1, 2, and 3. The common difference is 2 - 1 = 1.

Correct Answer: A — 1/6

Q. If the first three terms of a harmonic progression are 1, 1/2, and 1/3, what is the fourth term?

A. 1/4
B. 1/5
C. 1/6
D. 1/7

Solution

The reciprocals are 1, 2, and 3, which are in arithmetic progression. The next term in the sequence of reciprocals is 4, so the fourth term is 1/4.

Correct Answer: C — 1/6

Q. If the first three terms of a harmonic progression are 1/2, 1/3, and 1/x, what is the value of x?

A. 4
B. 6
C. 8
D. 12

Solution

The reciprocals of the terms form an arithmetic progression: 2, 3, and x. The common difference is 1. Therefore, x = 6.

Correct Answer: B — 6

Q. If the first three terms of a harmonic progression are a, b, and c, which of the following equations holds true?

A. 1/a + 1/b = 1/c
B. 1/a + 1/c = 1/b
C. 1/b + 1/c = 1/a
D. 1/a + 1/b + 1/c = 0

Solution

In a harmonic progression, the reciprocals of the terms form an arithmetic progression, hence 1/a + 1/b = 1/c.

Correct Answer: A — 1/a + 1/b = 1/c

Q. If the first three terms of a harmonic progression are a, b, and c, which of the following is true?

A. 1/a + 1/c = 2/b
B. a + b + c = 0
C. a*b*c = 1
D. a + b = c

Solution

In a harmonic progression, the reciprocals of the terms form an arithmetic progression, which leads to the relationship 1/a + 1/c = 2/b.

Correct Answer: A — 1/a + 1/c = 2/b

Q. If the first three terms of a harmonic progression are a, b, c, which of the following is true?

A. 1/a, 1/b, 1/c are in AP
B. a, b, c are in AP
C. 1/a, 1/b, 1/c are in GP
D. b = (a+c)/2

Solution

In a harmonic progression, the reciprocals of the terms are in arithmetic progression, hence 1/a, 1/b, 1/c are in AP.

Correct Answer: A — 1/a, 1/b, 1/c are in AP

Q. If the function f(x) is defined as f(x) = 2x + 1, what is the value of f(3)?

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

Solution

Substituting x = 3 into the function gives f(3) = 2(3) + 1 = 6 + 1 = 7.

Correct Answer: C — 7

Q. If the function g(x) = 2x + 3 is transformed to g(x) = 2(x - 1) + 3, what type of transformation has occurred?

A. Vertical shift up.
B. Vertical shift down.
C. Horizontal shift left.
D. Horizontal shift right.

Solution

The transformation g(x) = 2(x - 1) + 3 indicates a horizontal shift to the right by 1 unit.

Correct Answer: D — Horizontal shift right.

Q. If the GCD of two numbers is 1, what can be inferred about the two numbers? (2023)

A. They are both even.
B. They are both odd.
C. They are coprime.
D. They are multiples of each other.

Solution

If the GCD of two numbers is 1, it means they have no common factors other than 1, thus they are coprime.

Correct Answer: C — They are coprime.

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