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 cyclist bikes x distance at 8 miles per hour and returns over the same path at 10 miles per hour. what is the cyclist ' s average rate for the round trip in miles per hour ?
Options: a. 8.1, b. 8.9, c. 8.6, d. 8.3, e. 9.0

Output: b


Input: Consider Input: Problem: 2.205 divided by 0.3 gives
Options: a. 7.35, b. 6.25, c. 8.15, d. 6.95, e. none of these

Output: a


Input: Consider Input: Problem: a man invests some money partly in 15 % stock at 105 and partly in 8 % stock at 40. to obtain equal dividends from both, he must invest the money in the ratio :
Options: a. 3: 4, b. 3: 5, c. 7: 5, d. 16: 15, e. none


Output: c