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

Input: Consider Input: Problem: x starts a business with rs . 45000 . y joins in the business after 3 months with rs . 24000 . what will be the ratio in which they should share the profit at the end of the year ? 
Options: a ) 1 : 2 , b ) 2 : 1 , c ) 3 : 2 , d ) 2 : 3 , e ) 5 : 2

Output: e


Input: Consider Input: Problem: in a circuit board factory , all circuit boards that pass a verification process are certified . every board that fails the verification process is indeed faulty , but 1 / 8 of those that pass are also faulty . approximately how many faulty circuit boards exist in a group of 3200 circuit boards where 64 fail inspection ? 
Options: a ) 72 , b ) 192 , c ) 456 , d ) 256 , e ) 264

Output: c


Input: Consider Input: Problem: in a college the ratio of the numbers of boys to the girls is 8 : 5 . if there are 135 girls , the total number of students in the college is ? 
Options: a ) 562 , b ) 351 , c ) 452 , d ) 416 , e ) 512


Output: b