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A survey shows that $63 %$ of the Americans like cheese whereas $76 %$ like apples. If $x %$ of the Americans like both cheese and apples then

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An Intiative by Sri Chaitanya

x = 39

x = 63

39 \leq x \leq 63

30 \leq x \leq 80

answer is C.

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Detailed Solution

A \cup B \leq 100

$63 + 76 - x \leq 100$

$139 - x \leq 100$

$- x \leq - 39$

$x \geq 39$

$0 \leq n (A \cap B) \leq n (A)$

$0 \leq x \leq 63$

$39 \leq x \leq 63$

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