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 cyclist bikes x distance at 8 miles per hour and returns over the same path at 10 miles per hour. what is the cyclist ' s average rate for the round trip in miles per hour ?
Options: a. 8.1, b. 8.9, c. 8.6, d. 8.3, e. 9.0
answer:
b


question:
Problem: the speed of a boat in still water is 15 km / hr and the rate of current is 3 km / hr. the distance travelled downstream in 24 minutes is
Options: a. 17.2 km, b. 7.2 km, c. 7.6 km, d. 17.6 km, e. 27.2 km
answer:
b


question:
Problem: bag a contains red, white and blue marbles such that the red to white marble ratio is 1: 3 and the white to blue marble ratio is 2: 3. bag b contains red and white marbles in the ratio of 1: 4. together, the two bags contain 22 white marbles. how many red marbles could be in bag a ?
Options: a. 1, b. 3, c. 4, d. 2, e. 8
answer:

d