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A survey shows that 73% of the persons working in an office like coffee, whereas 64% in tea. If x denotes the percentage of them who like both coffee and tea, then x cannot be

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answer is B.

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Detailed Solution

$n (A \cap B) = n (A) + n (B) - n (A \cup B) \Rightarrow x \geq 73 + 64 - 100 = 37 n (A \cap B) \leq \min {n (A), n (B)}$

$\Rightarrow x \leq 65 x \in [37, 65]$

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