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: how many prime numbers are between 29 / 3 and 87 / 6 ?
Options: a. 1, b. 2, c. 3, d. 4, e. 5

Answer: b


Question: Problem: find the maximum value of the function f ( x ) = x − 5 if x is a number between - 5 and 13.
Options: a. 6, b. 7, c. 8, d. 9, e. none

Answer: c


Question: Problem: an empty wooden vessel weighs 8 % of its total weight when filled with paint. if the weight of a partially filled vessel is one half that of a completely filled vessel, what fraction of the vessel is filled.
Options: a. 3 / 7, b. 5 / 9, c. 1 / 24, d. 4 / 9, e. 2 / 5

Answer:
a