In this task, you need to provide the correct option for a given problem from the provided options.

[Q]: Problem: in a group of 22 boys , 13 play basketball and 15 play football . 3 of the boys play neither . how many play both ? 
Options: a ) 18 , b ) 20 , c ) 21 , d ) 22 , e ) 25
[A]: a


[Q]: Problem: the ratio of the two natural numbers is 5 : 6 . if a certain number is added to both the numbers , the ratio becomes 7 : 8 . if the larger number exceeds the smaller number by 10 , find the number added ? 
Options: a ) 17 , b ) 14 , c ) 10 , d ) 16 , e ) 20
[A]: c


[Q]: Problem: in a class of 120 students , 25 did not opt for math . 10 did not opt for science and 2 did not opt for either . how many students of the class opted for both math and science ? 
Options: a ) 63 , b ) 95 , c ) 77 , d ) 87 , e ) 48
[A]:
d