# 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, thenA. x = 35B. x = 63C. 39 ≤ x ≤ 63D. x = 39

Given: 63% of the people watch a News Channel whereas 76% watch another channel

To find: x% of the people watch both channel, then value of x

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

n(p)= 63, n(q) = 76, n(p q) = x, n(p q) 100

We know,

n(p q) n(p) + n(q) – n(p q)

100 63 + 76 – x

x 139 – 100

x 39

Now,

n(p q) n(p) and n(p q) n(q)

x 63 and x 76

Hence, 39 x 63

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