A survey shows that 63% of the people in a city read newspaper A whereas 76% read newspaper B. If x% of the people read both the newspapers, then a possible value of x can be
A
37
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B
29
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C
65
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D
55
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Solution
The correct option is D55 max{n(A),n(B)}≤n(A∪B)≤n(U) ⇒n(B)≤n(A∪B)≤n(U) ⇒76≤76+63−x≤100 ⇒39≤x≤63