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.

[Q]: Problem: each of the three people individually can complete a certain job in 3, 4, and 6 hours, respectively. what is the lowest fraction of the job that can be done in 1 hour by 2 of the people working together at their respective rates ?
Options: a. 1 / 3, b. 9 / 20, c. 8 / 15, d. 5 / 12, e. 2 / 3
[A]: d


[Q]: 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
[A]: d


[Q]: Problem: two tests had the same maximum mark. the pass percentages in the first and the second test were 40 % and 45 % respectively. a candidate scored 216 marks in the second test and failed by 36 marks in that test. find the pass mark in the first test ?
Options: a. 277, b. 266, c. 111, d. 121, e. 224
[A]:
e