Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid.

Ex Input:
Problem: a and b invests rs. 2500 and rs. 4000 respectively in a business. if a doubles his capital after 6 months. in what ratio should a and b divide that year ' s profit ?
Options: a. 11: 5, b. 15: 16, c. 15: 2, d. 9: 9, e. 11: 1

Ex Output:
b


Ex Input:
Problem: out of 40 applicants to a law school, 15 majored in political science, 20 had a grade point average higher than 3.0, and 10 did not major in political science and had a gpa equal to or lower than 3.0. how many e applicants majored in political science and had a gpa higher than 3.0 ?
Options: a. 5, b. 10, c. 15, d. 25, e. 35

Ex Output:
a


Ex Input:
Problem: sam ’ s car was fined when he gave joe and peter a ride, so they decided to help sam pay the fine. joe paid $ 6 more than 1 / 4 of the fine and peter paid $ 6 less than 1 / 3 of the fine, leaving pay $ 10 less than 1 / 2 the fine to complete the payment. what fraction of the fine did sam pay ?
Options: a. $ 50, b. $ 40, c. $ 35, d. $ 44, e. $ 45

Ex Output:

a