Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • A survey shows that 63% of the people watch a News Channel whereas 76% watch another channel. If x% of the people watch both channel, then (A) x = 35    (B) x = 63    (C) 39 ≤ x ≤ 63    (D) x = 39

A survey shows that 63% of the people watch a News Channel whereas 76% watch another channel. If x% of the people watch both channel, then
(A) x = 35    (B) x = 63    (C) 39 \leq x \leq 69   (D) x = 39
 

Answers (1)

Let p% of people watch a channel and q% of people watch another channel

        n(p\cap q) = x\% \text{ and }n(p\cup q) \leq 100

        So, n(p\cup q) \geq n(p) + n(q) - n(p\cap q)

            100 \geq 63 + 76 - x

                x \geq 39

            Now n(p)  = 63.

            n(p\cap q) \leq n(p)

            x \leq 63

            So, 39 \leq x \leq 63

Hence, the correct option is (C).

Posted by

infoexpert22

View full answer

Similar Questions

Latest Question