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

[Q]: Problem: the number of stamps that p and q had were in the ratio of 7 : 4 respectively . after p gave q 8 stamps , the ratio of the number of p ' s stamps to the number of q ' s stamps was 6 : 5 . as a result of the gift , p had how many more stamps than q ? 
Options: a ) 4 , b ) 8 , c ) 12 , d ) 16 , e ) 20
[A]: b


[Q]: Problem: the ratio between the current age of a and b is 6 : 7 . if b is 4 years old than a . what will be the ratio of the ages of a and b after 4 years ? 
Options: a ) 7 : 8 , b ) 8 : 9 , c ) 4 : 6 , d ) 4 : 8 , e ) 5 : 8
[A]: a


[Q]: Problem: two numbers are in ratio 4 : 5 and their lcm is 180 . the smaller number is 
Options: a ) 9 , b ) 15 , c ) 36 , d ) 45 , e ) none
[A]:
c