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: if w is the set of all the integers between 10 and 332 , inclusive , that are either multiples of 3 or multiples of 2 or multiples of both , then w contains how many numbers ? 
Options: a ) 111 , b ) 28 , c ) 160 , d ) 213 , e ) 107

Output: d


Input: Consider Input: Problem: in a certain state , the ratio of registered republicans to registered democrats is 3 to 2 , and every registered voter is either a republican or a democrat . if 75 percent of the republicans and 15 percent of the democrats are expected to vote for candidate x , and everyone else is expected to vote for candidate y , by what percent is candidate x expected to win the election ? 
Options: a ) 2 % , b ) 5 % , c ) 8 % , d ) 10 % , e ) 15 %


Output: a