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: the product of two positive integers is 675 and their difference is 2. what is the bigger number ?
Options: a. 21, b. 23, c. 25, d. 27, e. 29
Example Output: d

Example Input: Problem: if the ratio of two number is 6: 7 and lcm of the number is 450 then what is the number.
Options: a. 11, b. 20, c. 25, d. 30, e. 35
Example Output: a

Example Input: Problem: if n is an integer and 101 n ^ 2 is less than or equal to 6400, what is the greatest possible value of n ?
Options: a. 7, b. 8, c. 9, d. 10, e. 11
Example Output:
a