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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. In a family, the ages of the siblings are as follows: X is older than Y but younger than Z. W is younger than X but older than V. Who is the oldest sibling? (2023)

A. X
B. Y
C. Z
D. W

Solution

The order of ages is Y < V < W < X < Z. Therefore, Z is the oldest sibling.

Correct Answer: C — Z

Q. In a family, there are three generations. A is the grandfather of B, who is the father of C. D is the sister of B. How is C related to D? (2023)

A. Cousin
B. Sister
C. Brother
D. Aunt

Solution

C is D's cousin as they are children of siblings.

Correct Answer: A — Cousin

Q. In a family, there are three generations. A is the grandfather of B, who is the father of C. If D is the sister of B, how is C related to D? (2023)

A. Brother
B. Sister
C. Cousin
D. Uncle

Solution

C is the child of B, and D is the sibling of B, making C and D siblings.

Correct Answer: C — Cousin

Q. In a family, there are three generations. A is the grandfather of B. B is the father of C. D is the sister of A. How is C related to D? (2023)

A. Niece
B. Nephew
C. Grandchild
D. Grandnephew

Solution

C is the grandchild of A, making C the grandnephew of D.

Correct Answer: D — Grandnephew

Q. In a family, there are three generations. A is the grandfather of B. C is the mother of B. D is the sister of A. How is D related to C?

A. Aunt
B. Sister-in-law
C. Mother
D. Cousin

Solution

D is the sister of A, making her the sister-in-law of C.

Correct Answer: B — Sister-in-law

Q. In a family, there are three generations. A is the grandfather of B. C is the mother of B. D is the sister of C. How is D related to A? (2023)

A. Daughter
B. Daughter-in-law
C. Sister
D. Granddaughter

Solution

D is the sister of C, who is married to B's father, making D the daughter-in-law of A.

Correct Answer: B — Daughter-in-law

Q. In a family, there are three generations. A is the grandmother of B, who is the father of C. D is the sister of A. How is C related to D? (2023)

A. Niece
B. Nephew
C. Grandchild
D. Cousin

Solution

C is the niece of D as D is the sister of A, the grandmother.

Correct Answer: A — Niece

Q. In a family, there are three generations. The grandfather has two sons, each of whom has two children. If the grandfather has a total of six grandchildren, how many children does he have? (2023)

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

Solution

The grandfather has 2 sons, so he has 2 children.

Correct Answer: A — 2

Q. In a family, there are three generations. The grandfather is a lawyer, the father is a doctor, and the son is a student. If the grandfather has two sons, one of whom is the father, what is the profession of the other son? (2023)

A. Lawyer
B. Doctor
C. Engineer
D. Unemployed

Solution

The other son must also be a lawyer, as he is the brother of the father who is a doctor.

Correct Answer: A — Lawyer

Q. In a family, there are two parents and three children. If the father is a teacher and the mother is a doctor, what is the profession of the eldest child if he is studying engineering? (2023)

A. Teacher
B. Doctor
C. Engineer
D. Student

Solution

The eldest child is studying engineering, so he is an engineer.

Correct Answer: C — Engineer

Q. In a family, there are two parents and three children. The father is a teacher, and the mother is a doctor. If the eldest child is a student, what is the profession of the youngest child?

A. Teacher
B. Doctor
C. Student
D. Unemployed

Solution

The youngest child is likely unemployed as they are not mentioned to have a profession.

Correct Answer: D — Unemployed

Q. In a family, there are two parents and three children. The mother is a doctor, and the father is an engineer. If the eldest child is a student, what is the profession of the youngest child?

A. Doctor
B. Engineer
C. Student
D. Not specified

Solution

The profession of the youngest child is not specified.

Correct Answer: D — Not specified

Q. In a family, there are two parents and three children. The mother is a teacher, and the father is an engineer. If one child is a doctor and the other two are students, what is the profession of the third child? (2023)

A. Teacher
B. Engineer
C. Doctor
D. Student

Solution

The third child must be a student, as stated in the question.

Correct Answer: D — Student

Q. In a family, there are two parents and three children. The parents are not siblings. If the father is a teacher and the mother is a doctor, what is the relationship of the children to the parents? (2023)

A. Siblings
B. Cousins
C. Friends
D. Neighbors

Solution

The children are siblings to each other and children of the parents.

Correct Answer: A — Siblings

Q. In a football league, if a team scores an average of 2 goals per match over 12 matches, how many total goals did the team score? (2023)

A. 24
B. 20
C. 22
D. 26

Solution

Total goals = average goals per match * number of matches = 2 * 12 = 24 goals.

Correct Answer: A — 24

Q. In a fruit basket, the ratio of apples to oranges is 2:3. If there are 30 oranges, how many apples are there?

A. 20
B. 25
C. 15
D. 10

Solution

The ratio of apples to oranges is 2:3. If there are 30 oranges, we can set up the proportion: 2/3 = x/30. Solving for x gives us x = 20. Therefore, there are 20 apples.

Correct Answer: A — 20

Q. In a fruit basket, the ratio of apples to oranges is 7:5. If there are 35 apples, how many oranges are there?

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

Solution

The ratio of apples to oranges is 7:5. If there are 35 apples, the number of oranges can be calculated as (35 apples * 5 oranges) / 7 apples = 25 oranges.

Correct Answer: A — 25

Q. In a function f(x) = ax^2 + bx + c, if a > 0, what can be inferred about the direction of the graph?

A. The graph opens upwards.
B. The graph opens downwards.
C. The graph is a straight line.
D. The graph is a constant function.

Solution

When a > 0 in a quadratic function, the graph opens upwards, indicating that the vertex is the minimum point.

Correct Answer: A — The graph opens upwards.

Q. In a function f(x) = ax^2 + bx + c, if a > 0, what can be said about the graph of the function?

A. It opens upwards.
B. It opens downwards.
C. It has a maximum point.
D. It is a straight line.

Solution

If a > 0 in a quadratic function, the graph opens upwards, indicating that it has a minimum point.

Correct Answer: A — It opens upwards.

Q. In a function f(x) = ax^2 + bx + c, what does the coefficient 'a' determine about the graph?

A. The y-intercept of the graph.
B. The direction of the parabola's opening.
C. The x-intercepts of the graph.
D. The slope of the graph.

Solution

'a' determines the direction of the parabola's opening; if 'a' is positive, it opens upwards, and if negative, it opens downwards.

Correct Answer: B — The direction of the parabola's opening.

Q. In a function f(x) = ax^2 + bx + c, what does the coefficient 'a' determine?

A. The direction of the parabola's opening.
B. The y-intercept of the graph.
C. The slope of the graph.
D. The x-intercepts of the graph.

Solution

The coefficient 'a' in a quadratic function determines whether the parabola opens upwards (a > 0) or downwards (a < 0).

Correct Answer: A — The direction of the parabola's opening.

Q. In a function f(x) = ax^2 + bx + c, what does the value of 'a' determine about the graph?

A. The y-intercept of the graph.
B. The direction of the parabola.
C. The x-intercepts of the graph.
D. The maximum value of the function.

Solution

'a' determines the direction of the parabola; if 'a' is positive, it opens upwards, and if negative, it opens downwards.

Correct Answer: B — The direction of the parabola.

Q. In a function f(x) = ax^2 + bx + c, what does the value of 'a' determine?

A. The direction in which the parabola opens.
B. The x-intercepts of the graph.
C. The y-intercept of the graph.
D. The maximum value of the function.

Solution

'a' determines the direction of the parabola; if 'a' is positive, it opens upwards, and if negative, it opens downwards.

Correct Answer: A — The direction in which the parabola opens.

Q. In a function f(x) = x^3 - 3x, what is the nature of the critical points?

A. All critical points are local maxima.
B. All critical points are local minima.
C. There are both local maxima and minima.
D. There are no critical points.

Solution

The function has critical points where the first derivative is zero, which can be analyzed to find both local maxima and minima.

Correct Answer: C — There are both local maxima and minima.

Q. In a function f(x), if f(a) = f(b) for a ≠ b, what can be inferred about the function?

A. The function is one-to-one.
B. The function is constant.
C. The function is quadratic.
D. The function is increasing.

Solution

If f(a) = f(b) for a ≠ b, it indicates that the function is not one-to-one, which means it does not pass the horizontal line test.

Correct Answer: B — The function is constant.

Q. In a game, the probability of winning is 0.25. If a player plays 4 times, what is the probability of winning at least once?

A. 0.75
B. 0.84
C. 0.93
D. 0.99

Solution

The probability of losing all 4 games is (0.75)^4 = 0.3164. Therefore, the probability of winning at least once is 1 - 0.3164 = 0.6836, approximately 0.84.

Correct Answer: B — 0.84

Q. In a geometric progression, if the 1st term is 4 and the 5th term is 64, what is the common ratio?

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

Solution

Let the common ratio be r. The 5th term is given by ar^4 = 64. Thus, 4r^4 = 64 => r^4 = 16 => r = 2.

Correct Answer: C — 4

Q. In a geometric progression, if the 3rd term is 27 and the common ratio is 3, what is the first term?

A. 3
B. 9
C. 1
D. 27

Solution

Let the first term be a. The 3rd term is a * r^2 = a * 3^2 = 9a. Setting 9a = 27 gives a = 3.

Correct Answer: B — 9

Q. In a geometric progression, if the first term is 3 and the common ratio is 2, what is the 5th term?

A. 48
B. 24
C. 12
D. 6

Solution

The nth term of a GP is given by a * r^(n-1). Here, a = 3, r = 2, and n = 5. Thus, the 5th term = 3 * 2^(5-1) = 3 * 16 = 48.

Correct Answer: A — 48

Q. In a geometric progression, if the first term is 4 and the common ratio is 1/2, what is the 6th term?

A. 0.25
B. 0.5
C. 1
D. 2

Solution

The 6th term is given by a * r^(n-1) = 4 * (1/2)^(6-1) = 4 * (1/32) = 4/32 = 0.125.

Correct Answer: A — 0.25

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