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.

Example Input: Problem: in 5 football games thus far this season, barry has run for 98, 107, 85, 89, and 91 yards. at a minimum, how many yards m will he need to gain this sunday if he wants to keep his season average above 100 yards ?
Options: a. 101, b. 116, c. m = 130, d. m = 131, e. m = 141
Example Output: d

Example Input: Problem: when positive integer n is divided by 7, the remainder is 1. when n is divided by 11, the remainder is 5. what is the smallest positive integer k such that k + n is a multiple of 77 ?
Options: a. 2, b. 4, c. 6, d. 8, e. 10
Example Output: c

Example Input: Problem: the s. i. on a certain sum of money for 2 years at 8 % per annum is half the c. i. on rs. 4000 for 2 years at 10 % per annum. the sum placed on s. i. is ?
Options: a. 2197, b. 1267, c. 1750, d. 2267, e. 2625
Example Output:
e