ABC26GN2489 · Percentage

Subject: General Aptitude · Chapter: Percentage · Exam: · Marks: · Difficulty:

Out of 450 students of a school, 325 play football, 175 play cricket and 50 neither play football nor cricket. How many students play both football and cricket?

(a)50

(b)75

(c)100

(d)225

Answer

Answer (as printed): C

Explanation

$n(\mathrm{A})=325, n(\mathrm{B})=175, n(\mathrm{A} \cup \mathrm{B})=450-50=400$. Required number $=n(\mathrm{A} \cap \mathrm{B})$ $$\begin{aligned} & =n(\mathrm{A})+n(\mathrm{B})-n(\mathrm{A} \cup \mathrm{B}) \\ & =325+175-400=100 . \end{aligned}$$

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