Education and Career Forum

In a class of 60 students 22 of them play volleyball, 12 of them play both volleyball
and kho-kho, 17 of them do not take part in any of the games. The number of
students who play only kho-kho is...........
how to solve the question to get the answer ?
please reply

First of all, you have to assign a value to the number of students, who play kho-kho.
Let the value be "x"
Given total number of students = 60
number of students who do not take part in any of the game=17
Then students who take part in the games = (60-17) = 43
students who play only volleyball = 22-12
students who play only kho-kho = X-12
students who play both = 12

Therefore addition all the students who play one or both the games or who does not play any game.

60=(22-12)+(x-12)+12+17
60=x+27
x=60-27
x=33
Therefore number of students who play kho-kho =33
number of students who play only kho-kho=33-12=21

This question can be solved easily by venn diagram. However, it is not possible to give you the solution by venn diagram here, hence solving in another way.

No. of students who play = 60-17 = 43
No. of students who play both volleyball and Kho kho = 12
No. of students who play only volleyball = 22-12 =10
thus, No. of students who play only kho = 43- (12+10) = 21