Question

There are 100 children in a colony. Of them, 70 watch Disney channel, 50 watch both Cartoon network and Disney channels, and 20 watch none of these. Find the number of children who watch only cartoon network.
A. 40
B. 30
C. 20
D. 10

Answer 1

Correct Answer - D

Given n(D)= 70
`n(D cup C)=100-20=80`
`n(D cap C)=50`
`(D cup C)=n(D)+n ( C)-n(D cap C)`
80= 70+n( C) - 50
`rArr n( C) = 60`
`therefore ` The number of children who watch only cartoon network = 60- 50 = 10
Hence , the correct option is (d )