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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 certain number, if 12 is added to it, the result is a multiple of 5. What can be inferred about the original number?

A. It is a multiple of 5.
B. It is a multiple of 12.
C. It is one less than a multiple of 5.
D. It is one more than a multiple of 5.

Solution

If the original number is x, then x + 12 is a multiple of 5. This implies that x must be one more than a multiple of 5.

Correct Answer: D — It is one more than a multiple of 5.

Q. In a certain number, if 12 is added to it, the result is a multiple of 5. Which of the following could be the original number?

A. 3
B. 8
C. 13
D. 17

Solution

If we add 12 to 8, we get 20, which is a multiple of 5.

Correct Answer: B — 8

Q. In a certain number, if the sum of its digits is a multiple of 3, what can be inferred about the number?

A. It is a prime number.
B. It is an even number.
C. It is a multiple of 3.
D. It is a perfect square.

Solution

A number is divisible by 3 if the sum of its digits is divisible by 3.

Correct Answer: C — It is a multiple of 3.

Q. In a certain numeral system, the digits are represented as follows: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B. What is the decimal equivalent of 'B2'?

A. 10
B. 12
C. 14
D. 16

Solution

'B2' in this system is 11*12^1 + 2*12^0 = 132 + 2 = 134 in decimal.

Correct Answer: C — 14

Q. In a certain numeral system, the digits used are 0, 1, 2, and 3. What is the decimal equivalent of the number '210' in this system?

A. 12
B. 18
C. 20
D. 24

Solution

'210' in base 4 is calculated as 2*4^2 + 1*4^1 + 0*4^0 = 32 + 4 + 0 = 36.

Correct Answer: C — 20

Q. In a certain numeral system, the number '123' represents the decimal number 27. What is the value of '321' in the same system?

A. 72
B. 81
C. 90
D. 99

Solution

'123' in base 3 = 1*3^2 + 2*3^1 + 3*3^0 = 27. '321' in base 3 = 3*3^2 + 2*3^1 + 1*3^0 = 81.

Correct Answer: B — 81

Q. In a certain numeral system, the number '23' represents 15 in decimal. What does '32' represent?

A. 20
B. 21
C. 22
D. 23

Solution

'23' in this system is 15. '32' would represent 22 in decimal.

Correct Answer: C — 22

Q. In a certain polygon, if each exterior angle measures 30 degrees, how many sides does the polygon have? (2023)

A. 6
B. 8
C. 10
D. 12

Solution

The sum of the exterior angles of any polygon is 360 degrees. If each exterior angle is 30 degrees, then the number of sides is 360 / 30 = 12.

Correct Answer: A — 6

Q. In a certain polygon, if one angle measures 120 degrees and the polygon is regular, how many sides does it have?

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

Solution

In a regular polygon, each interior angle can be calculated using the formula (n-2) * 180/n. Setting this equal to 120 degrees and solving for n gives n = 6, indicating a hexagon.

Correct Answer: A — 6

Q. In a certain polygon, if the exterior angle is 30 degrees, how many sides does the polygon have? (2023)

A. 6
B. 8
C. 12
D. 10

Solution

The sum of the exterior angles of any polygon is 360 degrees. Therefore, the number of sides n = 360 / 30 = 12.

Correct Answer: A — 6

Q. In a certain polygon, the exterior angle at each vertex measures 45 degrees. How many sides does this polygon have?

A. 4
B. 5
C. 8
D. 10

Solution

The sum of the exterior angles of any polygon is 360 degrees. If each exterior angle is 45 degrees, the number of sides is 360 / 45 = 8.

Correct Answer: C — 8

Q. In a certain town, the ratio of the number of bicycles to cars is 3:2. If there are 120 bicycles, how many cars are there?

A. 80
B. 60
C. 90
D. 100

Solution

Let the number of cars be x. According to the ratio, 3/2 = 120/x. Cross-multiplying gives 3x = 240, so x = 80.

Correct Answer: A — 80

Q. In a certain town, the ratio of the number of bicycles to the number of cars is 3:2. If there are 120 bicycles, how many cars are there?

A. 80
B. 60
C. 90
D. 100

Solution

Let the number of cars be x. According to the ratio, 3/2 = 120/x. Cross-multiplying gives 3x = 240, so x = 80.

Correct Answer: A — 80

Q. In a certain town, the ratio of the number of men to women is 3:2. If there are 120 men, how many women are there?

A. 80
B. 60
C. 40
D. 100

Solution

If the ratio of men to women is 3:2, then for every 3 men, there are 2 women. If there are 120 men, we can set up the proportion: 3/2 = 120/x. Solving for x gives x = 80. Therefore, there are 80 women.

Correct Answer: A — 80

Q. In a certain town, the ratio of the number of men to women is 3:2. If there are 120 men in the town, how many women are there?

A. 80
B. 60
C. 40
D. 100

Solution

If the ratio of men to women is 3:2, then for every 3 men, there are 2 women. If there are 120 men, then the number of women can be calculated as follows: (2/3) * 120 = 80 women.

Correct Answer: A — 80

Q. In a certain town, the ratio of the number of men to women is 3:4. If there are 120 men in the town, how many women are there?

A. 80
B. 90
C. 100
D. 110

Solution

If the ratio of men to women is 3:4, then for every 3 men, there are 4 women. If there are 120 men, we can set up the proportion: 3/4 = 120/x. Solving for x gives x = 160. Therefore, there are 160 women.

Correct Answer: C — 100

Q. In a certain town, the ratio of the number of men to women is 3:4. If there are 120 men, how many women are there?

A. 80
B. 90
C. 100
D. 110

Solution

If the ratio of men to women is 3:4, then for every 3 men, there are 4 women. If there are 120 men, we can set up the proportion: 3/4 = 120/x. Cross-multiplying gives us 3x = 480, so x = 160. Therefore, there are 160 women.

Correct Answer: C — 100

Q. In a chess tournament, each player plays against every other player exactly once. If there are 12 players, how many games are played?

A. 66
B. 72
C. 60
D. 78

Solution

The number of games played is given by n(n-1)/2. For 12 players, it is 12(12-1)/2 = 66 games.

Correct Answer: A — 66

Q. In a chess tournament, each player plays every other player exactly once. If there are 10 players, how many games are played?

A. 45
B. 50
C. 40
D. 55

Solution

The number of games played is given by n(n-1)/2. For 10 players, it is 10(10-1)/2 = 45.

Correct Answer: A — 45

Q. In a chess tournament, each player plays every other player once. If there are 12 players, how many games are played?

A. 66
B. 72
C. 60
D. 78

Solution

The number of games played is given by n(n-1)/2. For 12 players, it is 12(12-1)/2 = 66 games.

Correct Answer: A — 66

Q. In a chess tournament, if each player plays against every other player exactly once, and there are 10 players, how many games are played?

A. 45
B. 50
C. 90
D. 100

Solution

The number of games played is given by the combination formula n(n-1)/2. For 10 players, it is 10(10-1)/2 = 45 games.

Correct Answer: A — 45

Q. In a circle, if a central angle measures 80 degrees, what is the measure of the inscribed angle that subtends the same arc?

A. 20 degrees
B. 40 degrees
C. 80 degrees
D. 160 degrees

Solution

The inscribed angle is half the measure of the central angle that subtends the same arc. Therefore, the inscribed angle measures 80/2 = 40 degrees.

Correct Answer: B — 40 degrees

Q. In a circle, if a chord is drawn, which of the following statements is true regarding the angles formed?

A. The angles subtended by the chord at the center are equal.
B. The angles subtended by the chord at the circumference are equal.
C. The angles subtended at the center are half of those at the circumference.
D. The angles subtended at the circumference are equal to those at the center.

Solution

The angles subtended by the same chord at the circumference are equal.

Correct Answer: B — The angles subtended by the chord at the circumference are equal.

Q. In a circle, if a chord is perpendicular to a radius at its endpoint, what can be inferred about the chord?

A. It is the longest chord.
B. It bisects the circle.
C. It is a diameter.
D. It is bisected by the radius.

Solution

A radius that is perpendicular to a chord at its endpoint bisects the chord.

Correct Answer: D — It is bisected by the radius.

Q. In a circle, if an angle subtended by an arc at the center is 80 degrees, what is the angle subtended by the same arc at any point on the remaining part of the circle? (2023)

A. 40 degrees
B. 80 degrees
C. 60 degrees
D. 20 degrees

Solution

The angle subtended at the circumference is half the angle subtended at the center. Therefore, it is 80/2 = 40 degrees.

Correct Answer: A — 40 degrees

Q. In a circle, if an angle subtended by an arc at the center is 80 degrees, what is the angle subtended by the same arc at any point on the circumference?

A. 20 degrees
B. 40 degrees
C. 80 degrees
D. 160 degrees

Solution

The angle subtended at the circumference is half the angle subtended at the center. Therefore, the angle at the circumference is 80/2 = 40 degrees.

Correct Answer: B — 40 degrees

Q. In a circle, if the angle subtended by an arc at the center is 60 degrees, what is the angle subtended at any point on the remaining part of the circle?

A. 30 degrees
B. 60 degrees
C. 90 degrees
D. 120 degrees

Solution

The angle subtended at the circumference is half of that at the center, so it is 30 degrees.

Correct Answer: A — 30 degrees

Q. In a circle, if the angle subtended by an arc at the center is 60 degrees, what is the angle subtended at any point on the circumference?

A. 30 degrees
B. 60 degrees
C. 90 degrees
D. 120 degrees

Solution

The angle subtended at the circumference is half of that at the center, so it is 30 degrees.

Correct Answer: A — 30 degrees

Q. In a circle, if the length of an arc is 10 cm and the radius is 5 cm, what is the angle in radians subtended by the arc at the center? (2021)

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

Solution

The angle in radians is given by the formula θ = s/r, where s is the arc length. Thus, θ = 10/5 = 2 rad.

Correct Answer: B — 2 rad

Q. In a circle, if the radius is doubled, how does the area change?

A. It remains the same.
B. It doubles.
C. It quadruples.
D. It increases by a factor of eight.

Solution

If the radius is doubled, the area increases by a factor of four (since area is proportional to the square of the radius).

Correct Answer: C — It quadruples.

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