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

Input: Consider 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

Output: c


Input: Consider Input: Problem: in a class of 120 students , 25 did not opt for math . 10 did not opt for science and 2 did not opt for either . how many students of the class opted for both math and science ? 
Options: a ) 63 , b ) 95 , c ) 77 , d ) 87 , e ) 48

Output: d


Input: Consider Input: Problem: two vessels p and q contain 62.5 % and 87.5 % of alcohol respectively . if 4 litres from vessel p is mixed with 8 litres from vessel q , the ratio of alcohol and water in the resulting mixture is ? 
Options: a ) 19 : 1 , b ) 19 : 4 , c ) 19 : 8 , d ) 38 : 10 , e ) 38 : 2


Output: d