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.

Input: Consider Input: Problem: what is the greatest positive integer n such that 3 ^ n is a factor of 36 ^ 100 ?
Options: a. 100, b. 200, c. 300, d. 600, e. 900

Output: b


Input: Consider Input: Problem: what least number must be subtracted from 13294 so that the remainder is exactly divisible by 97 ?
Options: a. 3, b. 5, c. 7, d. 9, e. 10

Output: b


Input: Consider Input: Problem: how many unique positive odd integers less than 90 are equal to the product of a positive multiple of 5 and an odd number ?
Options: a. 4, b. 9, c. 11, d. 12, e. 15


Output: b