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: a train traveled the first d miles of its journey it an average speed of 50 miles per hour, the next d miles of its journey at an average speed of y miles per hour, and the final d miles of its journey at an average speed of 160 miles per hour. if the train ' s average speed over the total distance was 96 miles per hour, what is the value of y ?
Options: a. 68, b. 84, c. 90, d. 120, e. 160

Output: e

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: pipe a fills a swimming pool in 4 hours. pipe b empties the pool in 6 hours. if pipe a was opened at 9: 00 am and pipe b at 10: 00 am, at what time will the pool be full ?
Options: a. 19: 00, b. 17: 00, c. 16: 00, d. 18: 00, e. 20: 00
Output: a