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 5 liters of a 20% solution is mixed with 15 liters of a 30% solution, what is the percentage concentration of the resulting mixture?
A.
24%
B.
26%
C.
28%
D.
30%
Show solution
Solution
Total salt = (0.2*5) + (0.3*15) = 1 + 4.5 = 5.5 liters. Total volume = 5 + 15 = 20 liters. Concentration = (5.5/20)*100 = 27.5%.
Correct Answer:
A
— 24%
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Q. If 5 workers can complete a task in 10 days, how many days will it take for 10 workers to complete the same task?
A.
5 days
B.
10 days
C.
15 days
D.
20 days
Show solution
Solution
Work done = Workers * Days. Total work = 5 * 10 = 50 worker-days. For 10 workers, Days = Total work / Workers = 50 / 10 = 5 days.
Correct Answer:
A
— 5 days
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Q. If 50% of a group like reading, 30% like writing, and 10% like both, what percentage like only reading?
A.
40%
B.
30%
C.
20%
D.
10%
Show solution
Solution
The percentage of people who like only reading is 50% - 10% = 40%.
Correct Answer:
A
— 40%
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Q. If 50% of a group of 200 people like apples, 30% like bananas, and 10% like both, what percentage like only apples?
A.
40%
B.
30%
C.
20%
D.
10%
Show solution
Solution
The percentage of people who like only apples is 50% - 10% = 40%.
Correct Answer:
A
— 40%
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Q. If 50% of a group prefers tea, 30% prefers coffee, and 10% prefers both, what is the percentage that prefers either tea or coffee?
A.
70%
B.
80%
C.
60%
D.
50%
Show solution
Solution
The percentage that prefers either tea or coffee is 50% + 30% - 10% = 70%.
Correct Answer:
A
— 70%
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Q. If 50% of students like soccer, 30% like basketball, and 10% like both, what percentage of students like only soccer?
A.
40%
B.
30%
C.
20%
D.
10%
Show solution
Solution
The percentage of students who like only soccer is 50% - 10% = 40%.
Correct Answer:
A
— 40%
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Q. If 5x ≡ 10 (mod 15), what is the value of x?
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Solution
Dividing both sides by 5 gives x ≡ 2 (mod 3), which means x can be 2.
Correct Answer:
C
— 2
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Q. If 6 different colored balls are to be arranged in a row, how many arrangements are possible?
A.
720
B.
600
C.
360
D.
480
Show solution
Solution
The number of arrangements of 6 different colored balls is 6! = 720.
Correct Answer:
A
— 720
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Q. If 60% of a mixture is liquid X and the rest is liquid Y, what is the ratio of liquid Y to liquid X?
A.
1:2
B.
2:3
C.
3:2
D.
1:3
Show solution
Solution
If 60% is X, then 40% is Y. The ratio of Y to X = 40:60 = 2:3.
Correct Answer:
A
— 1:2
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Q. If 60% of students in a school are enrolled in sports, 40% in arts, and 10% in both, what percentage are enrolled in either?
A.
90%
B.
80%
C.
70%
D.
60%
Show solution
Solution
Using inclusion-exclusion, the percentage enrolled in either is 60% + 40% - 10% = 90%.
Correct Answer:
A
— 90%
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Q. If 60% of students in a school are enrolled in sports, 40% in arts, and 10% in both, what percentage are enrolled in only sports?
A.
50%
B.
40%
C.
30%
D.
20%
Show solution
Solution
The percentage of students enrolled in only sports is 60% - 10% = 50%.
Correct Answer:
A
— 50%
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Q. If 60% of students in a school are girls and 40% of the girls play basketball, what percentage of the total students are girls who play basketball?
A.
24%
B.
30%
C.
40%
D.
60%
Show solution
Solution
If 60% are girls and 40% of them play basketball, then 0.6 * 0.4 = 0.24 or 24% of the total students are girls who play basketball.
Correct Answer:
A
— 24%
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Q. If 60% of students like reading fiction, 40% like reading non-fiction, and 10% like both, what percentage of students like only fiction?
A.
50%
B.
40%
C.
30%
D.
20%
Show solution
Solution
The percentage of students who like only fiction is 60% - 10% = 50%.
Correct Answer:
A
— 50%
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Q. If 60% of students like reading fiction, 40% like reading non-fiction, and 10% like both, what percentage like only fiction?
A.
50%
B.
40%
C.
30%
D.
20%
Show solution
Solution
The percentage of students who like only fiction is 60% - 10% = 50%.
Correct Answer:
A
— 50%
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Q. If 60% of students like reading fiction, 40% like reading non-fiction, and 10% like both, what percentage of students like at least one genre?
A.
90%
B.
100%
C.
80%
D.
70%
Show solution
Solution
Using inclusion-exclusion, the percentage is 60% + 40% - 10% = 90%.
Correct Answer:
A
— 90%
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Q. If 60% of students like reading, 40% like writing, and 10% like both, what percentage of students like only writing?
A.
30%
B.
40%
C.
10%
D.
50%
Show solution
Solution
The percentage of students who like only writing is 40% - 10% = 30%.
Correct Answer:
A
— 30%
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Q. If 60% of students like reading, 40% like writing, and 10% like both, what percentage of students like either reading or writing?
A.
90%
B.
80%
C.
70%
D.
60%
Show solution
Solution
Using inclusion-exclusion, the percentage is 60% + 40% - 10% = 90%.
Correct Answer:
A
— 90%
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Q. If 60% of students like reading, 40% like writing, and 10% like both, what percentage of students like only reading?
A.
50%
B.
40%
C.
30%
D.
20%
Show solution
Solution
The percentage of students who like only reading is 60% - 10% = 50%.
Correct Answer:
A
— 50%
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Q. If 60% of students play cricket, 40% play football, and 10% play both, what is the percentage of students who play either cricket or football?
A.
90%
B.
100%
C.
80%
D.
70%
Show solution
Solution
Using inclusion-exclusion, the percentage of students who play either sport is 60% + 40% - 10% = 90%.
Correct Answer:
A
— 90%
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Q. If 60% of students play cricket, 40% play football, and 10% play both, what percentage of students play only cricket?
A.
50%
B.
40%
C.
30%
D.
20%
Show solution
Solution
The percentage of students who play only cricket is 60% - 10% = 50%.
Correct Answer:
A
— 50%
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Q. If 60% of students play cricket, 40% play football, and 10% play both, what percentage of students play either cricket or football?
A.
90%
B.
80%
C.
70%
D.
60%
Show solution
Solution
Using inclusion-exclusion, the percentage of students who play either cricket or football is: 60% + 40% - 10% = 90%.
Correct Answer:
B
— 80%
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Q. If 60% of students play cricket, 40% play football, and 10% play both, what percentage of students play only one sport?
A.
90%
B.
80%
C.
70%
D.
60%
Show solution
Solution
The percentage playing only cricket is 60% - 10% = 50%, and only football is 40% - 10% = 30%. Thus, total playing only one sport is 50% + 30% = 80%.
Correct Answer:
B
— 80%
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Q. If 60% of students play cricket, 50% play football, and 30% play both, what percentage of students play either cricket or football?
A.
50%
B.
60%
C.
80%
D.
100%
Show solution
Solution
Using inclusion-exclusion, the percentage playing either is 60% + 50% - 30% = 80%.
Correct Answer:
C
— 80%
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Q. If 60% of students play football, 40% play basketball, and 10% play both, what percentage of students play either football or basketball?
A.
90%
B.
80%
C.
70%
D.
60%
Show solution
Solution
Using inclusion-exclusion, the percentage of students who play either sport is: 60% + 40% - 10% = 90%.
Correct Answer:
A
— 90%
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Q. If 60% of students play football, 40% play basketball, and 10% play both, what percentage of students play either sport?
A.
90%
B.
80%
C.
70%
D.
60%
Show solution
Solution
Using inclusion-exclusion, the percentage playing either sport is 60% + 40% - 10% = 90%.
Correct Answer:
A
— 90%
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Q. If 70% of students in a school play cricket, 50% play football, and 20% play both, what percentage of students play either cricket or football?
A.
100%
B.
90%
C.
80%
D.
70%
Show solution
Solution
Using inclusion-exclusion, the percentage of students who play either cricket or football is 70% + 50% - 20% = 100%.
Correct Answer:
B
— 90%
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Q. If 70% of students in a school play football, 50% play basketball, and 20% play both, what percentage of students play either football or basketball?
A.
100%
B.
90%
C.
80%
D.
70%
Show solution
Solution
Using inclusion-exclusion, the percentage of students who play either sport is 70% + 50% - 20% = 100%.
Correct Answer:
B
— 90%
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Q. If 70% of students play football, 50% play basketball, and 20% play both, what percentage of students play either football or basketball?
A.
100%
B.
90%
C.
80%
D.
70%
Show solution
Solution
Using inclusion-exclusion, the percentage of students who play either sport is 70% + 50% - 20% = 100%.
Correct Answer:
B
— 90%
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Q. If 7x ≡ 3 (mod 5), what is the value of x?
Show solution
Solution
To solve 7x ≡ 3 (mod 5), we first reduce 7 mod 5 to get 2x ≡ 3 (mod 5). The solution is x ≡ 4 (mod 5), which corresponds to 2.
Correct Answer:
C
— 3
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Q. If 7^(2x) = 49, what is the value of x? (2023)
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Solution
Since 49 can be expressed as 7^2, we have 7^(2x) = 7^2, thus 2x = 2, leading to x = 1.
Correct Answer:
B
— 1
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