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.
--------
Question: 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

Answer: b


Question: Problem: the product x of two prime numbers is between 17 and 60. if one of the prime numbers is greater than 2 but less than 6 and the other is greater than 13 but less than 25, then x =
Options: a. 18, b. 29, c. 37, d. 44, e. 57

Answer: e


Question: Problem: a sells a bicycle to b and makes a profit of 60 %. b sells the same bicycle to c at a profit of 25 %. if the final s. p. of the bicycle was rs. 225, find out the cost price of the bicycle for a.
Options: a. 237, b. 126, c. 971, d. 611, e. 112.5

Answer:
e