A survey shows that 73%

Question:

A survey shows that $73 \%$ of the persons working in an office like coffee, whereas $65 \%$ like tea. If $x$ denotes the percentage of them, who like both coffee and tea, then $x$ cannot be :

  1. (1) 63

  2. (2) 36

  3. (3) 54

  4. (4) 38


Correct Option: , 2

Solution:

Given, $n(C)=73, n(T)=65, n(C \cap T)=x$

$\therefore 65 \geq n(C \cap T) \geq 65+73-100$

$\Rightarrow 65 \geq x \geq 38 \Rightarrow x \neq 36$

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Nestor Fitzgerald
March 9, 2023, 6:49 p.m.
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