CAT WhatsApp Group

Instructions

A survey of 200 people in a community who watched at least one of the three channels — BBC, CNN and DD — showed that 80% of the people watched DD, 22% watched BBC, and 15% watched CNN.

Question 52

What is the maximum percentage of people who can watch all the three channels?

Solution

Let a be the number who watch only one channel, b be the number who watch only 2 channels and c be the number who watch all channels.

a+b+c = 100

a+2b+3c = 80+22+15 =117

Subtracting both equations,

b+2c = 117-100 = 17

Maximum c occurs when b = 0

2c = 17

c = 8.5

Get 3 Free CAT Mock Tests with Expert Video Solutions Get 3 Free CAT Mock Tests

video

View More Questions From Venn Diagrams

Create a FREE account and get:

All Quant CAT complete Formulas and shortcuts PDF
38+ CAT previous year papers with video solutions PDF
5000+ Topic-wise Previous year CAT Solved Questions for Free

maruti sir image

CAT Quant Questions | CAT Quantitative Ability

CAT Profit And Loss Questions CAT Venn Diagrams Questions CAT Averages Questions CAT Probability, Combinatorics Questions CAT Arithmetic Questions

CAT DILR Questions | LRDI Questions For CAT

CAT Games and Tournamnents Questions CAT Table based DI Sets Questions CAT Scheduling Questions CAT Data Interpretation Basics Questions CAT 2D & 3D LR Questions

CAT Verbal Ability Questions | VARC Questions For CAT

CAT Vocabulary Questions CAT Grammar and Sentence Correction Questions CAT Critical Reasoning Questions CAT Reading Comprehension Questions CAT Para Summary Questions