# CAT Quantitative Aptitude Questions | CAT Percentage Questions - Variables

###### CAT Questions | Percentages Problems| Total number of students

The question is from CAT Percentages. CAT exam is known to test on basics rather than high funda ideas. 2IIMs CAT question bank provides you with CAT questions that can help you gear for CAT Exam CAT 2023. Percentages is an important topic for CAT. In this question, number of students who passed some topics of a test is given and the total number of students is being asked.

Question 21: In a practice paper at 2iim.com, questions were given from 5 topics. Out of the appearing students, 10% passed in all topics while 10% did not pass in any. Of the remaining, 20% passed in one topic only and 25% in two topics only. If 24% of the total students passed 4 topics only and 500 students passed in 3 topics only, find the total number of students who appeared in the examination?

1. 2500
2. 2000
3. 1600
4. 4545

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##### Method of solving this CAT Question from Percentages: Finding out how many percentage of students passed only 3 topics would help.

Let the number of appearing students be 100.
Pass only in 0 topic – 10
1 – 16 (20% of 80)
2 – 20 (25% of 80)
3 – 20% (100 – (16+20+24+20))
4 – 24%
5 – 20%
Therefore, 20% of x = 500 => x = 2500

The question is " If 24% of the total students passed 4 topics only and 500 students passed in 3 topics only, find the total number of students who appeared in the examination?"
The total number of students is 2500.

##### Hence, the answer is 2500.

Choice A is the correct answer.

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