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: if a / b = 1 / 3, b / c = 2, c / d = 1 / 2, d / e = 3 and e / f = 1 / 10, then what is the value of abc / def ?
Options: a. 27 / 4, b. 27 / 8, c. 3 / 4, d. 3 / 20, e. 1 / 4

Output: d


Input: Consider Input: Problem: at joes steakhouse the hourly wage for a chef is 20 % greater than that of a dishwasher, and the hourly wage of a dishwasher is half as much as the hourly wage of a manager. if a managers wage is $ 6.50 per hour, how much less than a manager does a chef earn each hour ?
Options: a. $ 2.6, b. $ 2.40, c. $ 3.40, d. $ 4.40, e. $ 5.40

Output: a


Input: Consider Input: Problem: during a certain season, a team won 70 percent of its first 100 games and 50 percent of its remaining games. if the team won 70 percent of its games for the entire season, what was the total number of games that the team played ?
Options: a. 180, b. 170, c. 156, d. 150, e. 100


Output: e