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: a waitress ' s income consists of her salary and tips. during one week, her tips were 3 / 4 of her salary. what fraction of her income for the week came from tips ?
Options: a. 1 / 9, b. 1 / 6, c. 3 / 7, d. 4 / 9, e. 5 / 9

SOLUTION: c

PROBLEM: Problem: if a and b are the roots of the equation x 2 - 9 x + 9 = 0, then the value of a 2 + b 2 is :
Options: a. 63, b. 24, c. 17, d. 6, e. 5

SOLUTION: a

PROBLEM: Problem: the true discount on a bill of rs. 2260 is rs. 360. what is the banker ' s discount ?
Options: a. rs. 428, b. rs. 422, c. rs. 412, d. rs. 442, e. none of these

SOLUTION:
a