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

[Q]: Problem: in what ratio should a 20 % methyl alcohol solution be mixed with a 50 % methyl alcohol solution so that the resultant solution has 40 % methyl alcohol in it ? 
Options: a ) 1 : 3 , b ) 1 : 2 , c ) 2 : 3 , d ) 2 : 1 , e ) 3 : 1
[A]: b


[Q]: Problem: the ratio of spinsters to cats is 2 to 7 . if there are 55 more cats than spinsters , how many spinsters are there ? 
Options: a ) 20 , b ) 21 , c ) 22 , d ) 23 , e ) 24
[A]: c


[Q]: Problem: set x consists of the integers from 0 to 12 , inclusive , while set y consists of the integers from 6 to 10 , inclusive . how many distinct integers do belong to the both sets at the same time ? 
Options: a ) 4 , b ) 10 , c ) 5 , d ) 9 , e ) 8
[A]:
c