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

[Q]: Problem: a starts a business with $ 3500 . after 5 months , b joins with a as his partner . after a year , the profit is divided in the ratio 2 : 3 . b ' s contribution in the capital is
Options: a ) 7000 , b ) 9000 , c ) 8000 , d ) 9900 , e ) 7900
[A]: b

[Q]: Problem: how many of the positive factors of 42 are not factors of 56 ?
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5
[A]: c

[Q]: Problem: a dog takes 5 leaps for every 6 leaps of a hare . if one leap of the dog is equal to 3 leaps of the hare , the ratio of the speed of the dog to that of the hare is :
Options: a ) 1 : 6 , b ) 5 : 6 , c ) 6 : 1 , d ) 5 : 1 , e ) 9 : 1
[A]:
d