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: the sector of a circle has radius of 24 cm and central angle 135 o. find its perimeter ?
Options: a. 91.5 cm, b. 11.5 cm, c. 104.6 cm, d. 92.5 cm, e. 99.5 cm

SOLUTION: c

PROBLEM: Problem: the overall age of x and y is 19 year greater than the overall age of y and z. z is how many decades younger that x ?
Options: a. 11, b. 15, c. 12, d. 19, e. 20

SOLUTION: d

PROBLEM: Problem: 10 men and 15 women together can complete a work in 6 days. it takes 100 days for one man alone to complete the same work. how many days will be required for one woman alone to complete the same work ?
Options: a. 127 days, b. 667 days, c. 177 days, d. 187 days, e. 225 days

SOLUTION:
e