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: two trains, one from howrah to patna and the other from patna to howrah, start simultaneously. after they meet, the trains reach their destinations after 10 hours and 8 hours respectively. the ratio of their speeds is
Options: a. 4: 9, b. 4: 3, c. 4: 12, d. 4: 8, e. 4: 5
answer:
e


question:
Problem: what is the area of a regular hexagon with sides 1 in. long ?
Options: a. 1.59 square inch, b. 2.59 square inch, c. 3.59 square inch, d. 4.59 square inch, e. 2.69 square inch
answer:
b


question:
Problem: at a certain restaurant, the average ( arithmetic mean ) number of customers served for the past x days was 85. if the restaurant serves 120 customers today, raising the average to 90 customers per day, what is the value of x ?
Options: a. 2, b. 5, c. 6, d. 15, e. 30
answer:

c