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

Example Input: Problem: there are 2 available positions and 50 candidates , one half of whom are democrats and another half are republicans . if it was decided that the positions would be filled at random , then what is the probability e that the both positions will be taken by members of just one party ?
Options: a ) 1 / 25 , b ) 12 / 49 , c ) 1 / 4 , d ) 24 / 49 , e ) 1 / 2
Example Output: d

Example Input: Problem: the ratio between the number of sheep and the number of horses at the stewart farm is 5 to 7 , if each horse is fed 230 ounces of horse food per day and the farm needs a total 12,880 ounces of horse food per day , what is the number of sheep in the farm ?
Options: a ) 18 , b ) 28 , c ) 40 , d ) 56 , e ) 60
Example Output: c

Example Input: Problem: divide $ 1162 among a , b , c in the ratio 35 : 28 : 20 .
Options: a ) 490 , 490,490 , b ) 360 , 392,460 , c ) 490 , 392,280 , d ) 260 , 160,60 , e ) 492 , 390,280
Example Output:
c