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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 angle A and angle B are supplementary, and angle A measures 75 degrees, what is the measure of angle B?

A. 105 degrees
B. 75 degrees
C. 45 degrees
D. 90 degrees

Solution

Supplementary angles sum to 180 degrees. Therefore, angle B = 180 - 75 = 105 degrees.

Correct Answer: A — 105 degrees

Q. If angle A and angle B are supplementary, which of the following is true?

A. Angle A + Angle B = 90 degrees
B. Angle A + Angle B = 180 degrees
C. Angle A - Angle B = 180 degrees
D. Angle A = Angle B

Solution

By definition, supplementary angles add up to 180 degrees.

Correct Answer: B — Angle A + Angle B = 180 degrees

Q. If angle A is 30 degrees and angle B is its complement, what is the measure of angle B?

A. 60 degrees
B. 90 degrees
C. 30 degrees
D. 150 degrees

Solution

The complement of an angle is found by subtracting it from 90 degrees. Thus, angle B = 90 - 30 = 60 degrees.

Correct Answer: A — 60 degrees

Q. If a^0 = 1 for any non-zero number a, what can be inferred about the expression 5^0?

A. It equals 0.
B. It equals 1.
C. It is undefined.
D. It equals 5.

Solution

According to the exponent rule, any non-zero number raised to the power of zero equals 1.

Correct Answer: B — It equals 1.

Q. If a^0 = 1 for any non-zero number a, which of the following is true?

A. 0^0 is also equal to 1.
B. 1^0 is equal to 0.
C. Any number raised to the power of 0 is undefined.
D. Only positive numbers can be raised to the power of 0.

Solution

By convention, 0^0 is often defined as 1 in combinatorics, although it can be considered indeterminate in other contexts.

Correct Answer: A — 0^0 is also equal to 1.

Q. If a^0 = 1 for any non-zero number a, which of the following statements is true?

A. 0 raised to any power is also 1.
B. Any number raised to the power of zero is zero.
C. Only positive numbers can be raised to the power of zero.
D. The exponent zero indicates the multiplicative identity.

Solution

The exponent zero indicates the multiplicative identity, meaning any non-zero number raised to the power of zero equals one.

Correct Answer: D — The exponent zero indicates the multiplicative identity.

Q. If a^3 * a^(-2) = a^x, what is the value of x? (2023)

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

Solution

Using the property of exponents, a^3 * a^(-2) = a^(3 - 2) = a^1, hence x = 1.

Correct Answer: A — 1

Q. If a^3 * b^2 = 64 and a = 2, what is the value of b? (2023)

A. 4
B. 8
C. 16
D. 2

Solution

Substituting a = 2, we have 2^3 * b^2 = 64, which simplifies to 8b^2 = 64. Thus, b^2 = 8, leading to b = 4.

Correct Answer: B — 8

Q. If a^3 = b^2, which of the following is true?

A. a = b^(2/3)
B. b = a^(3/2)
C. a^2 = b^(3/2)
D. b^3 = a^2

Solution

From a^3 = b^2, we can express b in terms of a as b = a^(3/2).

Correct Answer: B — b = a^(3/2)

Q. If a^m * a^n = a^p, what is the value of p?

A. m + n
B. m - n
C. m * n
D. m / n

Solution

According to the laws of exponents, when multiplying like bases, we add the exponents: p = m + n.

Correct Answer: A — m + n

Q. If a^m * a^n = a^p, which of the following is true?

A. m + n = p
B. m - n = p
C. m * n = p
D. m / n = p

Solution

The property of exponents states that when multiplying like bases, you add the exponents: m + n = p.

Correct Answer: A — m + n = p

Q. If a^x = b^y and a = b, what can be inferred about x and y?

A. x = y
B. x > y
C. x < y
D. x and y are unrelated

Solution

If a = b, then a^x = b^y implies x must equal y for the equality to hold.

Correct Answer: A — x = y

Q. If D is sitting opposite to E in a circular table and F is sitting to the left of D, who is sitting to the right of E?

A. D
B. F
C. E
D. None of the above

Solution

Since D is opposite E, F sitting to the left of D means F is also opposite to E. Therefore, the person sitting to the right of E is F.

Correct Answer: B — F

Q. If D is sitting to the immediate right of E and F is sitting opposite D, who is sitting to the left of E?

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

Solution

The arrangement can be visualized as A-B-C-E-D-F. Therefore, A is sitting to the left of E.

Correct Answer: D — A

Q. If F is to the left of G and H is to the right of F, which of the following must be true?

A. G is to the right of H
B. F is to the left of H
C. H is to the left of G
D. G is to the left of F

Solution

Since F is to the left of G and H is to the right of F, it follows that F must be to the left of H.

Correct Answer: B — F is to the left of H

Q. If f(x) = 3x^2 + 2x - 5, what is f(1)?

A. 0
B. 1
C. 2
D. -5

Solution

Substituting x = 1 into the function gives f(1) = 3(1)^2 + 2(1) - 5 = 3 + 2 - 5 = 0.

Correct Answer: B — 1

Q. If five friends A, B, C, D, and E are sitting in a circle, and A is not next to B, who can be seated next to A?

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

Solution

Since A cannot sit next to B, C, D, or E can be seated next to A. Therefore, C is a valid option.

Correct Answer: A — C

Q. If five friends are arranged in a line such that X is at one end, Y is to the immediate right of Z, and W is to the immediate left of Y, which of the following is true?

A. Z is at the other end
B. W is to the left of Z
C. X is to the right of W
D. Y is in the middle

Solution

Since W is to the immediate left of Y and Y is to the immediate right of Z, Y must be in the middle of the arrangement.

Correct Answer: D — Y is in the middle

Q. If five friends are sitting in a circle and A is not next to B, while C is sitting between A and D, who is sitting next to B? (2023)

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

Solution

Since C is between A and D, and A is not next to B, E must be next to B.

Correct Answer: D — E

Q. If five friends are sitting in a circle and A is not next to B, while C is sitting between A and D, who is sitting next to E?

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

Solution

Since C is between A and D, and A is not next to B, E must be next to D.

Correct Answer: D — D

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

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

Solution

Arranging the friends based on the given information, we find that B is opposite to D.

Correct Answer: B — B

Q. If five friends P, Q, R, S, and T are sitting in a circle facing the center, and R is between P and Q, who is sitting opposite to S?

A. P
B. Q
C. R
D. T

Solution

Since R is between P and Q, we can place them in the circle. S will then be opposite T, as there are only five friends.

Correct Answer: D — T

Q. If five friends P, Q, R, S, and T are sitting in a circle facing the center, and P is between Q and R, while S is opposite T, who is sitting next to R?

A. P
B. Q
C. S
D. T

Solution

P is between Q and R, which means Q is on one side of P and R on the other. Since S is opposite T, the only person next to R must be P.

Correct Answer: A — P

Q. If five friends P, Q, R, S, and T are sitting in a circle facing the center, and R is between P and Q, who is sitting directly opposite S?

A. P
B. Q
C. R
D. T

Solution

Since R is between P and Q, we can place them in a circle. S must be placed such that T is directly opposite S, as there are only five friends.

Correct Answer: D — T

Q. If hybrid set G is formed by the union of sets H and I, which of the following is true?

A. Set G will have fewer elements than set H.
B. Set G will have fewer elements than set I.
C. Set G will have at least as many elements as the larger of set H or set I.
D. Set G cannot contain any elements from set H.

Solution

The union of two sets will always have at least as many elements as the larger of the two sets, including unique elements.

Correct Answer: C — Set G will have at least as many elements as the larger of set H or set I.

Q. If hybrid sets are used to represent different categories of data, which of the following is a potential benefit? (2023)

A. Increased complexity in data analysis.
B. Reduction in data redundancy.
C. Limited data representation.
D. Inability to categorize data.

Solution

Hybrid sets can help reduce redundancy by combining different categories of data into a single representation.

Correct Answer: B — Reduction in data redundancy.

Q. If in a circular arrangement, A is sitting between B and C, and D is sitting opposite A, who is sitting next to D?

A. E
B. F
C. G
D. H

Solution

With A between B and C, and D opposite A, F must be next to D in the arrangement.

Correct Answer: B — F

Q. If in a circular arrangement, A is sitting next to B and C is sitting opposite A, who is sitting next to C? (2023)

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

Solution

Since C is opposite A, and A is next to B, D must be next to C.

Correct Answer: C — D

Q. If in a circular arrangement, A is sitting next to B and C is sitting opposite A, who is sitting to the right of C?

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

Solution

If A is next to B and C is opposite A, then E must be to the right of C in the circular arrangement.

Correct Answer: B — E

Q. If in a circular arrangement, A is sitting to the right of B and C is sitting to the left of A, who is sitting opposite B?

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

Solution

The arrangement is B-A-C. The person sitting opposite B would be E.

Correct Answer: B — E

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