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: a person incurs a loss of 5 % be selling a watch for rs. 1140. at what price should the watch be sold to earn 5 % profit
Options: a. rs. 1200, b. rs. 1230, c. rs. 1260, d. rs. 1290, e. none of these

Answer: c

Question: 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

Answer: a

Question: Problem: what is the remainder when 7 ^ 74 - 10 ^ 74 is divided by 24 ?
Options: a. 3, b. 1, c. 2, d. 0, e. none of these

Answer:
d