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

[Q]: Problem: if both 5 ^ 3 and 3 ^ 4 are factors of n x ( 2 ^ 5 ) x ( 12 ^ 2 ) x ( 7 ^ 3 ) x ( 10 ^ 2 ) , what is the smallest possible positive value of n ? 
Options: a ) 15 , b ) 45 , c ) 75 , d ) 125 , e ) 150
[A]: b


[Q]: Problem: a pet store holds cats and dogs . if the difference between the number of cats and the number of dogs is 3 . what could be the ratio of cats to dogs in the pet store ? 
Options: a ) 12 : 15 , b ) 1 : 4 , c ) 1 : 5 , d ) 2 : 5 , e ) 1 : 3
[A]: a


[Q]: Problem: what is the square root of 81 ? 
Options: a ) 2 , b ) 8 , c ) 12 , d ) 9 , e ) 16
[A]:
d