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.

Example Input: Problem: out of 40 applicants to a law school, 15 majored in political science, 20 had a grade point average higher than 3.0, and 10 did not major in political science and had a gpa equal to or lower than 3.0. how many e applicants majored in political science and had a gpa higher than 3.0 ?
Options: a. 5, b. 10, c. 15, d. 25, e. 35
Example Output: a

Example Input: Problem: if the radius of a cylinder is made 3 times and so is the height, what is the new volume of the cylinder divided by the old one ?
Options: a. 27., b. 2., c. 6., d. 4., e. 10.
Example Output: a

Example Input: Problem: if 45 % of a class averages 95 % on a test, 50 % of the class averages 78 % on the test, and the remainder of the class averages 60 % on the test, what is the overall class average ? ( round final answer to the nearest percent ).
Options: a. 83 %, b. 84 %, c. 85 %, d. 86 %, e. 87 %
Example Output:
c