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 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: in a survey of 340 employees, 104 of them are uninsured, 54 work part time, and 12.5 percent of employees who are uninsured work part time. if a person is to be randomly selected from those surveyed, what is the probability that the person will neither work part time nor be uninsured ?
Options: a. 7 / 12, b. 8 / 41, c. 39 / 68, d. 1 / 8, e. 41 / 91

SOLUTION: c

PROBLEM: Problem: a student has to obtain 35 % of the total marks to pass. he got 100 marks and failed by 40 marks. the maximum marks are ?
Options: a. 280, b. 400, c. 420, d. 480, e. 520

SOLUTION:
b