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 bag has 9 green balls and 23 pink balls. how many green balls should be added to the bag so that the ratio of green balls and pink balls in the bag becomes 1: 1 ?
Options: a. 10, b. 11, c. 12, d. 13, e. 14

SOLUTION: e

PROBLEM: Problem: if a randomly selected positive single digit multiple of 3 is multiplied by a randomly selected prime number less than 20, what is the probability w that this product will be a multiple of 45 ?
Options: a. 1 / 32, b. 1 / 28, c. 1 / 24, d. 1 / 16, e. 1 / 14

SOLUTION: c

PROBLEM: Problem: a certain company expects quarterly earnings of $ 0.80 per share of stock, half of which will be distributed as dividends to shareholders while the rest will be used for research and development. if earnings are greater than expected, shareholders will receive an additional $ 0.04 per share for each additional $ 0.10 of per share earnings. if quarterly earnings are $ 1.10 per share, what will be the dividend paid to a person who owns 100 shares of the company ' s stock ?
Options: a. $ 92, b. $ 96, c. $ 52, d. $ 120, e. $ 240

SOLUTION:
c