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: if a lends rs. 3150 to b at 8 % per annum and b lends the same sum to c at 12.5 % per annum then the gain of b in a period of 2 years is ?
Options: a. 280, b. 295, c. 283.5, d. 245, e. 200
answer:
c

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: every disk in a bag is either blue, yellow or green. the ratio of blue disks to yellow disks to green disks in this bag is 3: 7: 8. if the total number of disks in the bag is 126, how many more green disks than blue disks are in the bag ?
Options: a. 25, b. 28, c. 30, d. 35, e. 40
answer:
d