instruction:
In this task, you need to provide the correct option for a given problem from the provided options.
question:
Problem: the ratio of the arithmetic mean of two numbers to one of the numbers is 5 : 9 . what is the ratio of the smaller number to the larger number ?
Options: a ) 1 : 5 , b ) 1 : 6 , c ) 1 : 7 , d ) 1 : 8 , e ) 1 : 9
answer:
e

question:
Problem: in a certain pet shop , the ratio of dogs to cats to bunnies in stock is 3 : 7 : 12 . if the shop carries 375 dogs and bunnies total in stock , how many dogs are there ?
Options: a ) 42 , b ) 66 , c ) 75 , d ) 112 , e ) 154
answer:
c

question:
Problem: for a positive integer n , if 5 ^ n is a factor of 20 ! , but 5 ^ n + 1 is not a factor of 20 ! , what is the value of n ?
Options: a ) 4 , b ) 6 , c ) 7 , d ) 8 , e ) 9
answer:
a