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Question
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 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
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Solution
The correct option is D 55
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
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
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