instruction:
In this task, you need to provide the correct option for a given problem from the provided options.
question:
Problem: what is the greatest positive integer e such that 3 ^ e is a factor of 9 ^ 10 ? 
Options: a ) e = 5 , b ) e = 9 , c ) e = 10 , d ) e = 20 , e ) 30
answer:
d


question:
Problem: in a certain large company , the ratio of college graduates with a graduate degree to non - college graduates is 1 : 8 , and ratio of college graduates without a graduate degree to non - college graduates is 2 : 3 . if one picks a random college graduate at this large company , what is the probability e this college graduate has a graduate degree ? 
Options: a ) 1 / 11 , b ) 1 / 12 , c ) 1 / 13 , d ) 3 / 19 , e ) 3 / 43
answer:
d


question:
Problem: the ratio of a and b is 5 : 3 . after 2 years their ratio is 3 : 2 . what is the age of b ? 
Options: a ) 5 , b ) 3 , c ) 6 , d ) 7 , e ) 8
answer:

c