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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 Team A wins 60% of its matches in a league of 10 teams, how many matches does Team A win if it plays 9 matches?

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

Solution

If Team A wins 60% of its matches, then in 9 matches, it wins 0.6 * 9 = 5.4, which rounds to 6 matches.

Correct Answer: B — 6

Q. If the 1st term of an arithmetic progression is 4 and the common difference is 3, what is the sum of the first 10 terms?

A. 70
B. 80
C. 90
D. 100

Solution

The sum of the first n terms S_n = n/2 * (2a + (n-1)d). Here, S_10 = 10/2 * (2*4 + 9*3) = 5 * (8 + 27) = 5 * 35 = 175.

Correct Answer: B — 80

Q. If the 2nd term of a geometric progression is 8 and the 4th term is 32, what is the common ratio?

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

Solution

Let the first term be a and the common ratio be r. Then, 2nd term = ar = 8 and 4th term = ar^3 = 32. Dividing these gives r^2 = 4, so r = 2.

Correct Answer: A — 2

Q. If the 2nd term of a GP is 12 and the 4th term is 48, what is the common ratio?

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

Solution

Let the first term be a and the common ratio be r. Then, 2nd term = ar = 12 and 4th term = ar^3 = 48. Dividing these gives r^2 = 4, so r = 2.

Correct Answer: A — 2

Q. If the 2nd term of a GP is 8 and the 4th term is 32, what is the common ratio?

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

Solution

Let the first term be a and the common ratio be r. Then, 2nd term = ar = 8 and 4th term = ar^3 = 32. Dividing gives r^2 = 4, so r = 2.

Correct Answer: A — 2

Q. If the 2nd term of an arithmetic progression is 10 and the 5th term is 16, what is the common difference?

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

Solution

Let the first term be a and the common difference be d. From the equations a + d = 10 and a + 4d = 16, we can solve for d to find it is 2.

Correct Answer: A — 2

Q. If the 2nd term of an arithmetic progression is 10 and the 5th term is 16, what is the 3rd term?

A. 12
B. 11
C. 10
D. 13

Solution

Let the first term be a and the common difference be d. From a + d = 10 and a + 4d = 16, we can find a + 2d = 12, which is the 3rd term.

Correct Answer: A — 12

Q. If the 2nd term of an arithmetic progression is 15 and the 4th term is 25, what is the common difference?

A. 5
B. 10
C. 15
D. 20

Solution

Let the first term be a and the common difference be d. From the equations a + d = 15 and a + 3d = 25, we can find d = 5.

Correct Answer: A — 5

Q. If the 2nd term of an arithmetic progression is 8 and the 4th term is 14, what is the 1st term?

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

Solution

Let the first term be a and the common difference be d. From the equations a + d = 8 and a + 3d = 14, we can find a = 6.

Correct Answer: A — 6

Q. If the 2nd term of an arithmetic progression is 8 and the 5th term is 14, what is the 3rd term?

A. 10
B. 11
C. 12
D. 9

Solution

Let the first term be a and the common difference be d. From the equations a + d = 8 and a + 4d = 14, we can find the 3rd term a + 2d = 10.

Correct Answer: A — 10

Q. If the 2nd term of an arithmetic progression is 8 and the 5th term is 20, what is the first term?

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

Solution

Let the first term be a and the common difference be d. From the equations a + d = 8 and a + 4d = 20, we can solve for a to find it equals 4.

Correct Answer: A — 4

Q. If the 3rd term of a geometric sequence is 12 and the common ratio is 2, what is the first term? (2023)

A. 3
B. 6
C. 4
D. 8

Solution

The 3rd term is given by ar^2. So, 12 = a(2^2) => a = 12/4 = 3.

Correct Answer: B — 6

Q. If the 3rd term of a GP 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. Then, the 3rd term is ar^2 = 27. Thus, a * 3^2 = 27, giving a = 3.

Correct Answer: B — 9

Q. If the 3rd term of an arithmetic progression is 12 and the 7th term is 24, what is the common difference?

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

Solution

Let the first term be a and the common difference be d. We have a + 2d = 12 and a + 6d = 24. Subtracting these gives 4d = 12, so d = 3.

Correct Answer: B — 4

Q. If the 3rd term of an arithmetic progression is 15 and the 6th term is 24, what is the common difference?

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

Solution

Let the first term be a and the common difference be d. From the equations a + 2d = 15 and a + 5d = 24, solving gives d = 3.

Correct Answer: B — 4

Q. If the 3rd term of an arithmetic progression is 15 and the 7th term is 27, what is the common difference?

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

Solution

Let the first term be a and the common difference be d. From the equations a + 2d = 15 and a + 6d = 27, solving gives d = 3.

Correct Answer: B — 4

Q. If the 3rd term of an arithmetic sequence is 12 and the 7th term is 24, what is the common difference? (2023)

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

Solution

Let the first term be a and the common difference be d. Then, a + 2d = 12 and a + 6d = 24. Solving these gives d = 3.

Correct Answer: B — 3

Q. If the 5th term of an arithmetic progression is 15 and the 10th term is 30, what is the common difference?

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

Solution

Let the first term be a and the common difference be d. From the equations a + 4d = 15 and a + 9d = 30, we can find d = 3.

Correct Answer: A — 3

Q. If the 5th term of an arithmetic progression is 20 and the 10th term is 35, what is the first term?

A. 5
B. 10
C. 15
D. 20

Solution

Let the first term be a and the common difference be d. From the equations a + 4d = 20 and a + 9d = 35, we can solve for a to find it is 10.

Correct Answer: B — 10

Q. If the 6th term of an arithmetic progression is 30 and the 9th term is 45, what is the common difference?

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

Solution

Let the first term be a and the common difference be d. From the equations a + 5d = 30 and a + 8d = 45, we can find d = 5.

Correct Answer: A — 5

Q. If the 7th term of an arithmetic progression is 25 and the common difference is 3, what is the 1st term?

A. 10
B. 15
C. 20
D. 5

Solution

Using the formula for the nth term, a + 6d = 25. Substituting d = 3 gives a + 18 = 25, thus a = 7.

Correct Answer: A — 10

Q. If the 7th term of an arithmetic progression is 50 and the common difference is 5, what is the first term?

A. 25
B. 30
C. 35
D. 40

Solution

Using the formula for the nth term, a + 6d = 50. Substituting d = 5 gives a + 30 = 50, hence a = 20.

Correct Answer: B — 30

Q. If the amount after 2 years at compound interest is Rs. 1210 and the principal is Rs. 1000, what is the rate of interest?

A. 10%
B. 5%
C. 12%
D. 15%

Solution

Using the formula A = P(1 + r)^t, we have 1210 = 1000(1 + r)^2. Solving gives r = 0.1 or 10%.

Correct Answer: A — 10%

Q. If the angles of a triangle are in the ratio 2:3:4, what is the measure of the largest angle?

A. 60 degrees
B. 80 degrees
C. 90 degrees
D. 120 degrees

Solution

Let the angles be 2x, 3x, and 4x. The sum of angles in a triangle is 180 degrees. Therefore, 2x + 3x + 4x = 180. Solving gives x = 20, so the largest angle is 4x = 80 degrees.

Correct Answer: B — 80 degrees

Q. If the area of a circle is 154 cm², what is the radius of the circle? (Use π = 22/7)

A. 7 cm
B. 14 cm
C. 21 cm
D. 28 cm

Solution

Area = πr². 154 = (22/7)r². Solving gives r² = 154 * 7 / 22 = 49, so r = 7 cm.

Correct Answer: A — 7 cm

Q. If the area of a circle is 154 square units, what is the radius of the circle? (Use π = 22/7)

A. 7 units
B. 14 units
C. 11 units
D. 21 units

Solution

Area = πr². 154 = (22/7)r². Solving gives r² = 154 * 7 / 22 = 49, so r = 7 units.

Correct Answer: A — 7 units

Q. If the area of a parallelogram is 120 square meters and the base is 15 meters, what is the height?

A. 8 meters
B. 10 meters
C. 12 meters
D. 15 meters

Solution

Area = base × height. Thus, 120 = 15 × height, giving height = 120/15 = 8 meters.

Correct Answer: B — 10 meters

Q. If the area of a parallelogram is 120 square units and the base is 15 units, what is the height?

A. 8 units
B. 10 units
C. 12 units
D. 15 units

Solution

Area = base × height. Thus, 120 = 15 × height, giving height = 120/15 = 8 units.

Correct Answer: B — 10 units

Q. If the area of a parallelogram is given by the formula base times height, what happens to the area if the height is halved?

A. The area remains the same
B. The area doubles
C. The area is halved
D. The area increases by 25%

Solution

If the height of a parallelogram is halved, the area is also halved, as area = base × height.

Correct Answer: C — The area is halved

Q. If the area of a quadrilateral is given by the formula A = 1/2 * d1 * d2 * sin(θ), where d1 and d2 are the lengths of the diagonals and θ is the angle between them, which type of quadrilateral does this formula apply to?

A. Rectangle
B. Parallelogram
C. Kite
D. Trapezium

Solution

This formula applies to a kite, where the diagonals intersect at an angle.

Correct Answer: C — Kite

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