The question is from CAT Set theory. It is about venn diagrams. We just need to draw the diagram without any mistakes to solve this one. CAT exam is known to test on basics rather than high funda ideas. CAT also tests multiple ideas in the same question, and 2IIMs CAT question bank provides you with CAT questions that can help you gear for CAT Exam CAT 2023. Set Theory (especially constructing venn diagrams) is a frequently tested topic. Make sure you know the basics from this chapter.

Question 20: In a survey it was found that 10% people don’t use Facebook, Twitter or Whatsapp.8% uses all the three. There are 15% who use Facebook and Twitter only, 20% who use Twitter and Whatsapp only and 20% who use Facebook and Whatsapp only. Number of people that use only Facebook, only Twitter and only Whatsapp are equal. If the survey was conducted on 1000 people, answer the following:

- How many people use Whatsapp only?

- 20
- 9
- 15
- 90

- What is the ratio of number of people that uses Whatsapp only to the people using either Whats app or Facebook or both?

- \\frac{1}{6}\\)
- \\frac{25}{75}\\)
- \\frac{1}{3}\\)
- \\frac{1}{9}\\)

90 and 1/9

Try upto 40 hours for free

Learn from the best!

Limited Seats Available - Register Now!

Let the no. of people that use only Facebook = only Twitter = only Whatsapp = x

Let’s construct of venn diagram:

From the figure we can see that x + x + x + 8 + 20 + 20 + 15 + 10 = 100

=> 3x = 100 – 73

=> x = \\frac{27}{3}\\) = 9

1. Thus the of no people who use Whatsapp only = 9% or 9 x 1000/100 = 90

2. % of people that use Whatsapp only = 9

% of people that use either Whatsapp or Facebook or both = 20 + 20 + 8 + 9 + 9 +15 = 81

Thus the ratio = \\frac{9}{81}\\) = \\frac{1}{9}\\)

The question is **"How many people use Whatsapp only?"**

The question is **"What is the ratio of number of people that uses Whatsapp only to the people using either Whats app or Facebook or both?"**

Copyrights © 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,

58/16, Indira Gandhi Street,

Kaveri Rangan Nagar, Saligramam, Chennai 600 093

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

**Mobile:** (91) 99626 48484

**WhatsApp:** WhatsApp Now

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