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

Ex Input:
Problem: two assembly line inspectors , lauren and steven , inspect widgets as they come off the assembly line . if lauren inspects every fifth widget , starting with the fifth , and steven inspects every third , starting with the third , how many of the 98 widgets produced in the first hour of operation are not inspected by either inspector ? 
Options: a ) 91 , b ) 59 , c ) 53 , d ) 47 , e ) 45

Ex Output:
c


Ex Input:
Problem: the h . c . f . of two numbers is 23 and the other two factors of their l . c . m . are 13 and 14 . the larger of the two numbers is 
Options: a ) 276 , b ) 299 , c ) 312 , d ) 322 , e ) none

Ex Output:
d


Ex Input:
Problem: the number of people who purchased book a is twice the number of people who purchased book b . the number of people who purchased both books a and b is 500 , which is twice the number of people who purchased only book b . what is the number of people z who purchased only book a ? 
Options: a ) 250 , b ) 500 , c ) 750 , d ) 1000 , e ) 1500

Ex Output:

d