instruction:
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: 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
answer:
b


question:
Problem: find the simple interest on rs. 72,000 at 16 2 / 3 % per year for 9 months.
Options: a. 7500, b. 6500, c. 9000, d. 9500, e. none of them
answer:
c


question:
Problem: 3 men and 8 women complete a task in same time as 6 men and 2 women do. how much fraction of work will be finished in same time if 4 men and 2 women will do that task.
Options: a. 5 / 7, b. 3 / 10, c. 5 / 18, d. 5 / 16, e. 5 / 11
answer:

a