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: lloyd normally works 7.5 hours per day and earns $ 3.50 per hour. for each hour he works in excess of 7.5 hours on a given day, he is paid 1.5 times his regular rate. if lloyd works 10.5 hours on a given day, how much does he earn for that day ?
Options: a. $ 33.75, b. $ 42.00, c. $ 51.75, d. $ 54.00, e. $ 70.00

Ex Output:
b


Ex Input:
Problem: you have been given a physical balance and 7 weights of 40, 42, 36, 33, 47, 52 and 67 kgs. keeping weights on one pan and object on the other, what is the maximum you can weigh less than 169 kgs.
Options: a. 163, b. 166, c. 162, d. 164, e. 165

Ex Output:
e


Ex Input:
Problem: the events a and b are independent, the probability that event a occurs is greater than 0, and the probability that event a occurs is twice the probability that event b occurs. the probability that at least one of events a and b occurs is 8 times the probability that both events a and b occur. what is the probability that event a occurs ?
Options: a. 1 / 12, b. 1 / 8, c. 1 / 6, d. 1 / 3, e. 2 / 3

Ex Output:

d