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 : 8 . what is the ratio of the smaller number to the larger number ? 
Options: a ) 1 : 8 , b ) 1 : 6 , c ) 1 : 5 , d ) 1 : 4 , e ) 1 : 3
answer:
d


question:
Problem: sara bought both german chocolate and swiss chocolate for some cakes she was baking . the swiss chocolate cost $ 3.6 per pound , and german chocolate cost $ 3 per pound . if the total the she spent on chocolate was $ 36 and both types of chocolate were purchased in whole number of pounds , how many total pounds of chocolate she purchased ? 
Options: a ) 7 , b ) 8 , c ) 10 , d ) 15 , e ) 36 / 3
answer:
e


question:
Problem: how many prime numbers between 1 and 100 are factors of 67830 ? 
Options: a ) 4 , b ) 5 , c ) 6 , d ) 3 , e ) 2
answer:

c