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: find the greatest number which leaves the same remainder when it divides 16, 46 and 82.
Options: a. 18, b. 8, c. 12, d. 16, e. none of these
Example Output: e

Example Input: Problem: a and b together can complete work in 6 days. a alone starts working and leaves it after working for 4 days completing only half of the work. in how many days it can be completed if the remaining job is undertaken by b ?
Options: a. 4, b. 12, c. 5, d. 6, e. 7
Example Output: b

Example Input: Problem: 8 percent of the programmers in a startup company weigh 200 pounds or more. 20 - 5 percent of the programmers that are under 200 pounds in that same company weigh 100 pounds or less. what percent of the programmers in the startup company weigh between 100 and 200 pounds ?
Options: a. 15 %, b. 20 %, c. 25 %, d. 69 %, e. 75 %
Example Output:
d