JEE PYQ: Sets And Relations Question 10
Question 10 - 2020 (05 Sep Shift 1)
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) 63
(2) 36
(3) 54
(4) 38
Show Answer
Answer: (2)
Solution
Given, $n(C) = 73$, $n(T) = 65$, $n(C \cap T) = x$
$\therefore 65 \geq n(C \cap T) \geq 65 + 73 - 100$
$\Rightarrow 65 \geq x \geq 38 \Rightarrow x \neq 36$
BETA
