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.

Input: Consider Input: Problem: if a / b = 4 / 3, then ( 3 a + 2 b. / ( 3 a - 2 b. = ?
Options: a. 6, b. 3, c. 5, d. - 1, e. none

Output: b


Input: Consider Input: Problem: points a, b, c, and d, in that order, lie on a line. if ab = 3 cm, ac = 4 cm, and bd = 8 cm, what is cd, in centimeters ?
Options: a. 7, b. 2, c. 3, d. 4, e. 5

Output: a


Input: Consider Input: Problem: p, q and r have rs. 7000 among themselves. r has two - thirds of the total amount with p and q. find the amount with r ?
Options: a. rs. 3000, b. rs. 3600, c. rs. 2400, d. rs. 2800, e. none of these


Output: d