TASK DEFINITION: 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.
PROBLEM: Problem: if a - b = 6 and a 2 + b 2 = 50, find the value of ab.
Options: a. a. 7, b. b. 12, c. c. 15, d. d. 18, e. e. 20

SOLUTION: a

PROBLEM: Problem: the ratio of the volumes of two cubes is 1331: 2197. what is the ratio of their total surface areas ?
Options: a. 121: 169, b. 169: 122, c. 81: 124, d. 81: 126, e. 81: 129

SOLUTION: a

PROBLEM: Problem: a 1400 m long train crosses a tree in 100 sec, how much time will it take to pass a platform 700 m long ?
Options: a. 288, b. 190, c. 150, d. 188, e. 12

SOLUTION:
c