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: in a survey of 340 employees, 104 of them are uninsured, 54 work part time, and 12.5 percent of employees who are uninsured work part time. if a person is to be randomly selected from those surveyed, what is the probability that the person will neither work part time nor be uninsured ?
Options: a. 7 / 12, b. 8 / 41, c. 39 / 68, d. 1 / 8, e. 41 / 91

Answer: c

Question: Problem: 3 ltr of water is added with 9 ltr of a solution containing 57 % of alcohol in the water. the % of alcohol in the new mixture is ?
Options: a. 41.5 %, b. 42.75 %, c. 43 %, d. 45 %, e. 45.75 %

Answer: b

Question: Problem: if 2 ^ 4, 3 ^ 3, and 13 ^ 3 are factors of the product of 1,452 and w, where w is a positive integer, what is the smallest possible value of w ?
Options: a. 198, b. 288, c. 363, d. 396, e. 468

Answer:
e