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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

25

b

65

c

56

d

48

answer is A, C, D.

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Detailed Solution

n(A)=56%,   n(B)=65%  and  n(A∩B)=x n(A∪B)=n(A)+n(B)−n(A∩B)  and  65≤n(A∪B)≤100 65≤56+65−x≤100 ⇒0≤56−x≤35   ⇒ −56≤−x≤−21 ⇒21≤x≤56

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