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 least number which when divided by 5, 6, 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder, is :
Options: a. 2377, b. 1683, c. 2677, d. 9972, e. 1611

Answer: b


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: at the end of the month, a certain ocean desalination plant ’ s reservoir contained 30 million gallons of water. this amount is twice the normal level. if this amount represents 75 % of the reservoir ’ s total capacity, how many million gallons short of total capacity is the normal level ?
Options: a. 10, b. 15, c. 20, d. 25, e. 30

Answer:
c