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: the total age of a and b is 12 year more than the total age of b and c. c is how many years younger than a ?
Options: a. 12, b. 24, c. data inadequate, d. none of these, e. 34

Answer: a


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: the length of a rectangular landscape is 3 times its breadth. there is a playground in it whose area is 1600 square mtr & which is 1 / 3 rd of the total landscape. what is the length of the landscape ?
Options: a. 90, b. 160, c. 150, d. 120, e. 140

Answer:
c