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Q.

A survey shows that 56% of the people in a city read newspaper A whereas 65% read newspaper B. If $x %$ of the people read both the newspapers, then a possible value of $x$ can be.

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a

48

b

65

c

25

d

56

answer is A, C, D.

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Detailed Solution

$n (A) = 56 %, n (B) = 65 % a n d n (A \cap B) = x n (A \cup B) = n (A) + n (B) - n (A \cap B) a n d 65 \leq n (A \cup B) \leq 100 65 \leq 56 + 65 - x \leq 100 \Rightarrow 0 \leq 56 - x \leq 35 \Rightarrow - 56 \leq - x \leq - 21 \Rightarrow 21 \leq x \leq 56$

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A survey shows that 56% of the people in a city read newspaper A whereas 65% read newspaper B. If x% of the people read both the newspapers, then a possible value of x can be.