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.

Ex Input:
Problem: in a fuel station the service costs $ 1.65 per car, every liter of fuel costs 0.65 $. assuming that a company owns 12 cars and that every fuel tank contains 55 liters and they are all empty, how much money total will it cost to fuel all cars ?
Options: a. 320 $, b. 380 $, c. 420 $, d. 448.8 $, e. 480 $

Ex Output:
d


Ex Input:
Problem: a can give b 50 meters start and c 100 meters start in a kilometer race. how much start can b give c in a kilometer race ?
Options: a. 111.12, b. 111.67, c. 111.64, d. 52.63, e. 101.12

Ex Output:
d


Ex Input:
Problem: the sum of two numbers is 16 and the sum of their squares is 113. find the numbers.
Options: a. 1 and 2, b. 4 and 5, c. 7 and 8, d. 2 and 3, e. 6 and 7

Ex Output:

c