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 ?  Answers
A) 75	B) 100	C) 125	D) 150	E) none of these

Rationale: "explanation : students who play cricket , n ( a ) = 325 students who play football , n ( b ) = 175 total students who play either or both games , = n ( a ∪ b ) = 450 − 50 = 400 required number , n ( a ∩ b ) = n ( a ) + n ( b ) − n ( a ∪ b ) = 325 + 175 − 400 = 100 option b"
Answer: B