JEE Mains · Maths · STD 11 - 1. set theory
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 \(65\)
- B \(37\)
- C \(29\)
- D \(55\)
Answer & Solution
Correct Answer
(D) \(55\)
Step-by-step Solution
Detailed explanation
\(n(B) \leq n(A \cup B) \leq n(U)\) \(\Rightarrow 76 \leq 76+63-x \leq 100\) \(\Rightarrow-63 \leq-x \leq-39\) \(\Rightarrow 63 \geq x \geq 39\)
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