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: a bag contains 7 green and 8 white balls . if two balls are drawn simultaneously , the probability that both are of the same colour is
Options: a ) 7 / 16 , b ) 7 / 12 , c ) 7 / 19 , d ) 7 / 12 , e ) 7 / 15

Answer: e

Question: Problem: right now , the ratio between the ages of sandy and molly is 4 : 3 . after 6 years , sandy ' s age will be 38 years . what is molly ' s age right now ?
Options: a ) 15 , b ) 18 , c ) 21 , d ) 24 , e ) 27

Answer:
d