JEE Main · 2020 · 05 Sep 2020 · Shift 1 · Sets Relations and Functions

With $73\%$ liking coffee and $65\%$ liking tea, the overlap $x$ is squeezed from both sides. Since at most $100\%$ can like at least one drink, $73+65-x\le 100$, which forces $x\ge 38$; and the overlap cannot exceed the smaller group, so $x\le 65$. The feasible range is $38\le x\le 65$, and $36$ falls below it, so $x$ cannot be $36$.