There are 100 students in a particular class. 60% students play cricket, 30% student play football and 10% students play both the games. What is the number of students who play neither cricket nor football?
- A.25
- B.20
- C.18
- D.15
▶ Answer & Explanation
Correct answer: D. 15
The problem involves set theory, specifically calculating the number of elements in the union and complement of two sets. Given the percentages of students playing cricket, football, and both, we can find the total percentage of students playing at least one game by adding the individual percentages and subtracting the overlap (those playing both). The remaining percentage represents students who play neither game. For 100 students, this translates directly to the number of students.
Source: UPSC csat 2011