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

[Q]: Problem: the ratio of the arithmetic mean of two numbers to one of the numbers is 5 : 7 . what is the ratio of the smaller number to the larger number ?
Options: a ) 2 : 3 , b ) 2 : 5 , c ) 3 : 7 , d ) 4 : 9 , e ) 5 : 6
[A]: c

[Q]: Problem: a dog have birth to 12 puppies , 2 female and 10 male . what is the ratio of the female puppies to the male ?
Options: a ) 1 / 5 , b ) 1 / 6 , c ) 1 / 10 , d ) 2 / 12 , e ) 1 / 8
[A]: a

[Q]: Problem: how many of the positive factors of 10 , 16 and how many common factors are there in numbers ?
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5
[A]:
c