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: the average weight of a group of persons increased from 48 kg to 51 kg, when two persons weighing 78 kg and 93 kg join the group. find the initial number of members in the group ?
Options: a. 87, b. 67, c. 23, d. 75, e. 25
answer:
c


question:
Problem: mrs. evans gave a test to her freshmen economics class, which has 29 students enrolled and 19 of them answered question 1 correctly. if 24 answered question 2 correctly and 5 did not take the test then how many answered both questions correctly ?
Options: a. 3, b. 9, c. 11, d. 17, e. 19
answer:
e


question:
Problem: in a maths test, students were asked to find 5 / 16 of a certain number. one of the students by mistake found 5 / 6 th of that number and his answer was 150 more than the correct answer. find the number.
Options: a. 125, b. 288, c. 384, d. 400, e. 500
answer:

b