CAT 2024 Slot 3 QA Question 7: In a group of $250$ students, the percentage of girls was at least $44\%$ and at most $60\%$. The rest of the students were boys. Each student opted for either swimming or running or both. If $50\%$ o

Question

In a group of $250$ students, the percentage of girls was at least $44\%$ and at most $60\%$. The rest of the students were boys. Each student opted for either swimming or running or both. If $50\%$ o

Accepted Answer

Let the number of girls be $G$. Then the number of boys is $250 - G$.

$44\%\,	ext{ of }\,250\leqG\leq60\%\,	ext{ of }\,250$
$110\leq G\leq 150$

Since every student chose swimming or running or both, use:

$	ext{Both} = 	ext{Swimming} + 	ext{Running} - 	ext{Total}$

For boys,

$	ext{Both boy