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.
Q. If 25% of a group like tea, 15% like coffee, and 5% like both, what percentage like either tea or coffee?
A.
35%
B.
30%
C.
25%
D.
20%
Show solution
Solution
Using inclusion-exclusion, the percentage who like either is 25% + 15% - 5% = 35%.
Correct Answer:
A
— 35%
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Q. If 25% of a group like tea, 35% like coffee, and 10% like both, what percentage like only tea?
A.
15%
B.
25%
C.
10%
D.
20%
Show solution
Solution
The percentage who like only tea is 25% - 10% = 15%.
Correct Answer:
A
— 15%
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Q. If 25% of a group of 200 people are students and 10% of the students are part-time workers, how many part-time workers are there?
Show solution
Solution
The number of part-time workers is 25% of 200 = 50 students, and 10% of 50 = 5 part-time workers.
Correct Answer:
C
— 20
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Q. If 25% of a group of 200 people like hiking, 15% like biking, and 5% like both, what percentage like either activity?
A.
35%
B.
30%
C.
25%
D.
20%
Show solution
Solution
Using inclusion-exclusion, the percentage who like either is 25% + 15% - 5% = 35%.
Correct Answer:
A
— 35%
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Q. If 25% of a group of 200 people like sports, 15% like music, and 5% like both, what percentage of people like only sports?
A.
20%
B.
15%
C.
10%
D.
5%
Show solution
Solution
The percentage of people who like only sports is 25% - 5% = 20%.
Correct Answer:
A
— 20%
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Q. If 25% of a group of 200 people like tea, 15% like coffee, and 5% like both, what percentage like only tea?
A.
20%
B.
15%
C.
10%
D.
5%
Show solution
Solution
The number of people who like only tea is 25% of 200 - 5% of 200 = 20%.
Correct Answer:
A
— 20%
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Q. If 25% of a population likes apples, 15% likes oranges, and 5% likes both, what percentage likes either apples or oranges?
A.
35%
B.
30%
C.
25%
D.
20%
Show solution
Solution
Using inclusion-exclusion, the percentage is 25% + 15% - 5% = 35%.
Correct Answer:
A
— 35%
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Q. If 25% of a population likes apples, 15% likes oranges, and 5% likes both, what percentage likes either fruit?
A.
35%
B.
30%
C.
25%
D.
20%
Show solution
Solution
Using inclusion-exclusion, the percentage that likes either fruit is 25% + 15% - 5% = 35%.
Correct Answer:
A
— 35%
Learn More →
Q. If 25% of a population likes apples, 35% likes oranges, and 10% likes both, what percentage likes only apples?
A.
15%
B.
25%
C.
10%
D.
5%
Show solution
Solution
The percentage of people who like only apples is 25% - 10% = 15%.
Correct Answer:
A
— 15%
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Q. If 25% of a population likes chocolate, 15% likes vanilla, and 5% likes both, what percentage likes either chocolate or vanilla?
A.
35%
B.
30%
C.
25%
D.
20%
Show solution
Solution
The percentage of people who like either chocolate or vanilla is 25% + 15% - 5% = 35%.
Correct Answer:
A
— 35%
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Q. If 25% of a population likes reading, 15% likes writing, and 5% likes both, what percentage likes either reading or writing?
A.
35%
B.
30%
C.
25%
D.
20%
Show solution
Solution
Using inclusion-exclusion, the percentage of people who like either activity is: 25% + 15% - 5% = 35%.
Correct Answer:
A
— 35%
Learn More →
Q. If 25% of a population likes reading, 35% likes writing, and 10% likes both, what percentage likes either reading or writing?
A.
50%
B.
60%
C.
70%
D.
80%
Show solution
Solution
Using inclusion-exclusion, the percentage of people who like either activity is 25% + 35% - 10% = 50%.
Correct Answer:
B
— 60%
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Q. If 2x ≡ 4 (mod 6), what is the smallest non-negative integer solution for x?
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Solution
Dividing both sides by 2 gives x ≡ 2 (mod 3), hence the smallest non-negative solution is 2.
Correct Answer:
C
— 2
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Q. If 2^(x+3) = 32, what is the value of x?
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Solution
Since 32 can be expressed as 2^5, we have 2^(x+3) = 2^5, thus x + 3 = 5, leading to x = 2.
Correct Answer:
C
— 3
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Q. If 3x ≡ 9 (mod 12), what is the value of x?
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Solution
Dividing both sides by 3 gives x ≡ 3 (mod 12), which means x can be 3.
Correct Answer:
B
— 2
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Q. If 3x ≡ 9 (mod 6), what is the value of x?
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Solution
3x = 9 mod 6 simplifies to x = 3 mod 2, so x = 2.
Correct Answer:
C
— 2
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Q. If 4 different books are to be arranged on a shelf, how many arrangements are possible?
Show solution
Solution
The number of arrangements of 4 distinct books is 4! = 24.
Correct Answer:
B
— 24
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Q. If 4 different books are to be arranged on a shelf, how many different arrangements are possible?
Show solution
Solution
The number of arrangements of 4 distinct books is 4! = 24.
Correct Answer:
B
— 24
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Q. If 40 students like Mathematics, 30 like Science, and 10 like both subjects, how many students like only Mathematics?
Show solution
Solution
The number of students who like only Mathematics is 40 - 10 = 30.
Correct Answer:
B
— 20
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Q. If 40 students like Mathematics, 30 like Science, and 10 like both, how many students like only Mathematics?
Show solution
Solution
The number of students who like only Mathematics is 40 - 10 = 30.
Correct Answer:
B
— 20
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Q. If 40 students play cricket, 30 play football, and 10 play both, how many students play only cricket?
Show solution
Solution
The number of students who play only cricket is 40 - 10 = 30.
Correct Answer:
B
— 20
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Q. If 40 students play cricket, 30 play football, and 10 play both, how many students play either cricket or football?
Show solution
Solution
Using inclusion-exclusion, the total is 40 + 30 - 10 = 60.
Correct Answer:
A
— 60
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Q. If 45% of people like tea, 35% like coffee, and 10% like both, what percentage like neither tea nor coffee?
A.
10%
B.
20%
C.
30%
D.
40%
Show solution
Solution
The percentage of people who like either tea or coffee is 45% + 35% - 10% = 70%. Therefore, those who like neither = 100% - 70% = 30%.
Correct Answer:
C
— 30%
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Q. If 45% of people like tea, 35% like coffee, and 15% like both, what percentage of people like neither tea nor coffee?
A.
25%
B.
15%
C.
30%
D.
20%
Show solution
Solution
The percentage of people who like either tea or coffee is 45% + 35% - 15% = 65%. Therefore, those who like neither is 100% - 65% = 35%.
Correct Answer:
A
— 25%
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Q. If 45% of people prefer tea, 35% prefer coffee, and 15% prefer both, what is the percentage of people who prefer only tea?
A.
30%
B.
20%
C.
15%
D.
25%
Show solution
Solution
The percentage of people who prefer only tea is |Tea| - |Both| = 45% - 15% = 30%.
Correct Answer:
A
— 30%
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Q. If 4x ≡ 1 (mod 9), what is the smallest positive integer solution for x?
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Solution
The multiplicative inverse of 4 mod 9 is 7, since 4 * 7 = 28 ≡ 1 (mod 9).
Correct Answer:
A
— 1
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Q. If 4x ≡ 8 (mod 12), what is the smallest non-negative integer solution for x?
Show solution
Solution
Dividing both sides by 4 gives x ≡ 2 (mod 3), so the smallest non-negative solution is 2.
Correct Answer:
C
— 2
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Q. If 4x ≡ 8 (mod 12), what is the smallest non-negative solution for x?
Show solution
Solution
Dividing the equation by 4 gives x ≡ 2 (mod 3). The smallest non-negative solution is x = 2.
Correct Answer:
C
— 2
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Q. If 4^(x-1) = 1/16, what is the value of x? (2023)
Show solution
Solution
Since 1/16 can be expressed as 4^(-2), we have 4^(x-1) = 4^(-2), thus x - 1 = -2, leading to x = -1.
Correct Answer:
C
— 2
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Q. If 4^(x-1) = 64, what is the value of x?
Show solution
Solution
Since 64 can be expressed as 4^3, we have 4^(x-1) = 4^3, thus x - 1 = 3, leading to x = 4.
Correct Answer:
B
— 4
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