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 :
Correct Option: , 2
Solution:
Given, $n(C)=73, n(T)=65, n(C \cap T)=x$
$\therefore 65 \geq n(C \cap T) \geq 65+73-100$
$\Rightarrow 65 \geq x \geq 38 \Rightarrow x \neq 36$