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: 54671 - 14456 - 31466 = ?
Options: a. 2449, b. 5449, c. 8749, d. 8449, e. 6468

Answer: c


Question: Problem: the average age of 8 men increases by 2 years when two women are included in place of two men of ages 20 and 22 years. find the average age of the women ?
Options: a. 87, b. 98, c. 30, d. 29, e. 37

Answer: d


Question: Problem: two spherical balls lie on the ground touching. if one of the balls has a radius of 7 cm, and the point of contact is 10 cm above the ground, what is the radius of the other ball ( in centimeters ) ?
Options: a. 30 / 7, b. 50 / 3, c. 70 / 4, d. 80 / 5, e. 90 / 8

Answer:
c