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: john and david can finish a job together in 2 hours. if john can do the job by himself in 3 hours, what percent of the job does david do ?
Options: a. 36.33 %, b. 33.33 %, c. 39.33 %, d. 40.33 %, e. 33 %

Output: b


Input: Consider Input: Problem: what is the greatest positive integer n such that 3 ^ n is a factor of 36 ^ 100 ?
Options: a. 100, b. 200, c. 300, d. 600, e. 900

Output: b


Input: Consider Input: Problem: the perimeter of a triangle is 36 cm and the inradius of the triangle is 2.5 cm. what is the area of the triangle
Options: a. a. 72, b. b. 45, c. c. 729, d. d. 34, e. e. 35


Output: b