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: a / ( b / c. in the expression above, a, b, and c are different numbers and each is one of the numbers 2, 3, or 6. what is the largest possible value of the expression ?
Options: a. 2 / 18, b. 6 / 3, c. 30 / 2, d. 18 / 2, e. 6 / 18
answer:
d


question:
Problem: a certain protective additive increases from 50 days to 60 days the time between required maintenance checks on an industrial vehicle. by what percent is the time between maintenance checks increased by using the additive ?
Options: a. 25 %, b. 33 1 / 3 %, c. 50 %, d. 66 2 / 3 %, e. 20 %
answer:
e


question:
Problem: two bike riders ride in opposite directions around a circular track, starting at the same time from the same point. biker a rides at a speed of 16 kmph and biker b rides at a speed of 14 kmph. if the track has a diameter of 40 km, after how much time ( in hours ) will the two bikers meet ?
Options: a. 8.18 hrs., b. 6.18 hrs., c. 4.18 hrs., d. 1.18 hrs., e. 7.18 hrs.
answer:

c