2023 · Q44
A school has 100 students and every student plays either cricket or football or both. The number of students who play cricket is twice the number of students who play football. Also, the number of students who play only cricket is three times the number of students who play only football. The number of students who play both cricket and football is, therefore:
General Mental Ability, Quantitative Aptitude and StatisticsNumber system and arithmetic
- A30
- B28
- C25
- D20
Explanation
Let x be those playing only football and y those playing both; then 3x play only cricket. Total students: 4x + y = 100. Cricket players (3x + y) are twice football players (x + y), so 3x + y = 2x + 2y, giving x = y. Substituting: 5x = 100, so x = 20 and y = 20. Twenty students play both, option (d).