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: a and b invests rs. 8000 and rs. 12000 in a business. after 4 months, a withdraws half of his capital and 2 months later, b withdraws one - third of his capital. in what ratio should they share the profits at the end of the year ?
Options: a. 32: 99, b. 82: 31, c. 8: 15, d. 34: 89, e. 35: 21
Example Output: c

Example Input: Problem: there are 27 different 3 - digit integers that can be formed using only the digits 3, 4 and 5. if all 27 of the integers were listed, what would their sum be ?
Options: a. 11,888, b. 11,988, c. 12,088, d. 12,188, e. 12,288
Example Output: b

Example Input: Problem: a palindrome is a number that reads the same front - to - back as it does back - to - front ( e. g. 202, 575, 1991, etc. ) p is the smallest integer greater than 200 that is both a prime and a palindrome. what is the sum of the digits of p ?
Options: a. 3, b. 4, c. 5, d. 6, e. 7
Example Output:
e