Question

Out of 48 students, 1/3rd play cricket and basketball; 1/4th play cricket and football; 1/6th play football and basketball. No students play only basketball. Number of students playing only cricket is double of students playing only football. Find fraction of students playing cricket.

Answer 1

Hi friend here's your answer.....
See first it's saying no student play basketball so 1/3 is first fraction of children play cricket.
Then it's saying That number of students playing only cricket is double of students playing football so fraction will be 1/12
So now 1/3+1/12=5/12
Hope it helps you :)

Answer 2

cricket plus basketball equals 16

football plus cricket =12

football plus basketball equals 8

remaining students equals 48-36=12

number of students playing basketball =0

let,only football playing students=x

cricket =2x

now,2 times x + 1 times x=12

x=4

cricket students=12+16+8=36

fraction = 36/48

3/4