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: the average runs scored by a batsman in 30 matches is 50. in the next 15 matches the batsman scored an average of 26 runs. find his average in all the 45 matches ?
Options: a. 31, b. 42, c. 29, d. 97, e. 27

Output: b


Input: Consider Input: Problem: the average runs scored by a batsman in 20 matches is 40. in the next 10 matches the batsman scored an average of 30 runs. find his average in all the 30 matches ?
Options: a. 31, b. 36.67, c. 88, d. 13, e. 12

Output: b


Input: Consider Input: Problem: each of the products produced yesterday was checked by worker x or worker y. 0.5 % of the products checked by worker x are defective and 0.8 % of the products checked by worker y are defective. if the total defective rate of all the products checked by worker x and worker y is 0.55 %, what fraction of the products was checked by worker y ?
Options: a. 1 / 3, b. 1 / 4, c. 1 / 5, d. 1 / 6, e. 1 / 8


Output: d