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

Ex Input:
Problem: there are 180 doctors and nurses at a hospital . if the ratio of doctors to nurses is 2 to 3 , how many nurses are at the hospital ?
Options: a ) 100 , b ) 104 , c ) 108 , d ) 112 , e ) 116

Ex Output:
c

Ex Input:
Problem: a certain university will select 1 of 4 candidates eligible to fill a position in the mathematics department and 2 of 10 candidates eligible to fill 2 identical positions in the computer science department . if none of the candidates is eligible for a position in both departments , how many different sets of 3 candidates are there to fill the 3 positions ?
Options: a ) 42 , b ) 70 , c ) 140 , d ) 180 , e ) 315

Ex Output:
d

Ex Input:
Problem: ramesh , xyz and rajeev put a partnership . profit is 36000 , if ramesh and xyz ratio is 5 : 4 and xyz and rajeev 8 : 9 . find rajeev ' s share .
Options: a ) 14000 , b ) 15000 , c ) 16000 , d ) 12000 , e ) 17000

Ex Output:
d