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: after giving a discount of rs. 45 the shopkeeper gets a loss of 10 %, if the cost price is rs. 180. find the markup % ?
Options: a. 0.21, b. 0.2, c. 0.17, d. 0.21, e. 0.15

Output: e


Input: Consider Input: Problem: in 5 football games thus far this season, barry has run for 98, 107, 85, 89, and 91 yards. at a minimum, how many yards m will he need to gain this sunday if he wants to keep his season average above 100 yards ?
Options: a. 101, b. 116, c. m = 130, d. m = 131, e. m = 141

Output: d


Input: Consider Input: Problem: if the radius of a circle that centers at the origin is 5, how many points q on the circle have integer coordinates ?
Options: a. 4, b. 8, c. 12, d. 15, e. 20


Output: c