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: kim has 3 pairs of shoes; each pair is a different color. if kim randomly selects 2 shoes without replacement from the 6 shoes, what is the probability that she will select 2 shoes of the same color ?
Options: a. 2 / 5, b. 1 / 5, c. 1 / 9, d. 1 / 10, e. 1 / 25
answer:
b


question:
Problem: if the average ( arithmetic mean ) of a and b is 45 and the average of b and c is 80, what is the value of c − a ?
Options: a. 25, b. 60, c. 90, d. 140, e. it can not be determined from the information given.
answer:
b


question:
Problem: car dealership x, the total profit from sales increased by 12 percent over the previous years, while the number of cars sold decreased by 12 percent over the previous years. approximately what was the average percent increase in profit per car over the previous year.
Options: a. 18 %, b. 20 %, c. 22 %, d. 27.27 %, e. 35 %
answer:

d