In a school of 100 students, 600 play chess and 300 play football. If 50 students play both chess and football, the numb...

Question

In a school of 100 students, 600 play chess and 300 play football. If 50 students play both chess and football, the number of students who play neither is ________.

A. 200  B. 150  C. 100  D. 50

Accepted Answer

150 students play neither chess nor football. Wait — the numbers 600 and 300 look large for a school of 100. In GATE problems like this the school typically has 1,000 students; reading the question with total = 1,000 makes all values sensible. We use the two-set inclusion-exclusion formula to find how many students fall inside at least one activity, then subtract from the total to find the 'neither' count.