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 no. when divided by 44, gives 432 as quotient and 0 as remainder. what will be the remainder when dividing thesame no. by 31
Options: a. 2, b. 4, c. 5, d. 7, e. 8

Output: c

Input: Consider Input: 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

Output: a

Input: Consider Input: Problem: rahul put his timepiece on the table in such a way that at 6 p. m. hour hand points to north. in which direction the minute hand will point at 9.15 p. m. ?
Options: a. 233, b. 37, c. 27, d. west, e. 271
Output: d