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: if 20 typists can type 50 letters in 30 minutes, then how many letters will 40 typists working at the same rate complete in 1 hour ?
Options: a. 400, b. 500, c. 350, d. 250, e. 200

Ex Output:
a


Ex Input:
Problem: a walks at 10 kmph and 4 hours after his start, b cycles after him at 20 kmph. how far from the start does b catch up with a ?
Options: a. 100 km, b. 150 km, c. 80 km, d. 120 km, e. 200 km

Ex Output:
c


Ex Input:
Problem: if a - b = 3 and a ( power 2 ) + b ( power 2 ) = 29, find the value of ab.
Options: a. 5, b. 8, c. 4, d. 10, e. 3

Ex Output:

d