# 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 failed in some topics of a test is given and the total number of students is being appeared for the exam is asked.

Question 25: In an examination, 35% of students failed in quants and 42% of students failed in verbal while 14% failed in both the topics. If 222 students passed in both the topics, how many students appeared to write the examination?

1. 500
2. 600
3. 700
4. 800

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##### Method of solving this CAT Question from Percentages: Finding out percent of students failing either one would help.

Percent of students failing quants = 35
Percent of students failing verbal = 42
Sum = 35 + 42 = 77
Percent of students failing both = 14
=> Percent of students failing either one = 77 – 14 = 63. Thus, 37% students passed in both the topics
=> 37% of x = 222
=> x = 600

The question is " how many students appeared to write the examination? "
The total number of students is 600.

##### Hence, the answer is 600.

Choice B is the correct answer.

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