TASK DEFINITION: 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.
PROBLEM: 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.

SOLUTION: b

PROBLEM: Problem: lucy bought a 1 - year, 10000 certificate of deposit that paid interest at an annual rate of 8 percent compunded semiannually. what was the total amount of interest paid on this certificate at maturity ?
Options: a. 10464, b. 864, c. 816, d. 800, e. 480

SOLUTION: d

PROBLEM: Problem: if x + y = 260, x - y = 200, for integers of x and y, y = ?
Options: a. 200, b. 230, c. 50, d. 115, e. 150

SOLUTION:
b