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 a certain deck of cards, each card has a positive integer written on it, in a multiplication game a child draws a card and multiplies the integer on the card with the next large integer. if the each possible product is between 35 and 200, then the least and greatest integer on the card would be
Options: a. 3 and 15, b. 3 and 20, c. 4 and 13, d. 4 and 14, e. 5 and 14
Example Output: e

Example Input: Problem: 6 men and 8 women can complete a work in 10 days. 26 men and 48 women can finish the same work in 2 days. 15 men and 20 women can do the same work in - days.
Options: a. 4 days, b. 6 days, c. 2 days, d. 8 days, e. 10 days
Example Output: a

Example Input: Problem: 5 % people of a village in sri lanka died by bombardment, 20 % of the remainder left the village on account of fear. if now the population is reduced to 3553, how much was it in the beginning ?
Options: a. 2988, b. 2776, c. 4400, d. 4675, e. 881
Example Output:
d