In a survey of 450 people, it was found that 110 play cricket, 160play

1.	In a survey of 450 people, it was found that 110 play cricket, 160play tennis and 70 play both cricket as well as tennis. How manyplay neither cricket nor tennis?
Answer» If 110 play cricket and of those, 70 play tennis and cricket, then 110 - 70 = 40 play cricket only. If 160 play tennis and of those, 70 play tennis and cricket, then 160 - 70 = 90 play tennis only. Finally, it is given that 70 play both cricket and tennis Hence, Sport playing people : 40 + 90 + 70 = 200 Therefore, Non-sport playing people : 450 - 200 = 250.250 people play neither tennis nor cricket.

In a survey of 450 people, it was found that 110 play cricket, 160play tennis and 70 play both cricket as well as tennis. How manyplay neither cricket nor tennis?

Answer»

If 110 play cricket and of those, 70 play tennis and cricket, then 110 - 70 = 40 play cricket only.

If 160 play tennis and of those, 70 play tennis and cricket, then 160 - 70 = 90 play tennis only.

Finally, it is given that 70 play both cricket and tennis

Hence, Sport playing people : 40 + 90 + 70 = 200

Therefore, Non-sport playing people : 450 - 200 = 250.250 people play neither tennis nor cricket.