instruction:
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.
question:
Problem: the total age of a and b is 12 year more than the total age of b and c. c is how many years younger than a ?
Options: a. 12, b. 24, c. data inadequate, d. none of these, e. 34
answer:
a


question:
Problem: at a certain university, 65 % of the professors are women, and 70 % of the professors are tenured. if 90 % of the professors are women, tenured, or both, then what percent of the men are tenured ?
Options: a. 25, b. 37.5, c. 50, d. 62.5, e. 75
answer:
d


question:
Problem: 31 of the scientists that attended a certain workshop were wolf prize laureates, and 18 of these 31 were also nobel prize laureates. of the scientists that attended that workshop and had not received the wolf prize, the number of scientists that had received the nobel prize was 3 greater than the number of scientists that had not received the nobel prize. if 50 of the scientists attended that workshop, how many of them were nobel prize laureates ?
Options: a. a. 11, b. b. 18, c. c. 24, d. d. 29, e. d. 36
answer:

d