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

Ex Input:
Problem: if x and y are both odd prime numbers and x < y , how many distinct positive integer e factors does 2 xy have ?
Options: a ) 3 , b ) 4 , c ) 6 , d ) 8 , e ) 12

Ex Output:
d

Ex Input:
Problem: teas worth rs . 126 per kg and rs . 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2 . if the mixture is worth rs 157 per kg , the price of the third variety per kg will be ?
Options: a ) rs . 147.50 , b ) rs . 785.50 , c ) rs . 179.50 , d ) rs . 258.50 , e ) none of these

Ex Output:
c

Ex Input:
Problem: compound x contains elements a and b at an approximate ratio , by weight , of 2 : 10 . approximately how many grams of element b are there in 108 grams of compound x ?
Options: a ) 90 , b ) 162 , c ) 250 , d ) 270 , e ) 322

Ex Output:
a