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 2019. 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?

- 2500
- 2000
- 1600
- 4545

2500

CAT Online Coaching

Starts Sat, September 21st, 2019

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.

Choice A is the correct answer.

CAT 2020

Enroll at 44,000/-

Next Weekend Batch Starts Sat, Sept 21st, 2019

Register Online, get Rs 4000/- off

Intakes Closing Soon!

Copyrights © 2019 All Rights Reserved by 2IIM.com - A Fermat Education Initiative.

Privacy Policy | Terms & Conditions

CAT^{®} (Common Admission Test) is a registered trademark of the Indian Institutes of Management. This website is not endorsed or approved by IIMs.

2IIM Online CAT Coaching

A Fermat Education Initiative,

10-C, Kalinga Colony, Bobbili Raja Salai

K.K.Nagar, Chennai. India. Pin - 600 078

**Phone:** (91) 44 4505 8484

**Mobile:** (91) 99626 48484

**WhatsApp:** WhatsApp Now

**Email: **prep@2iim.com