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: the perimeter of an isosceles right triangle is 12 + 12 sq rt 2. what is the length of the hypotenuse of the triangle ?
Options: ['a. 5', 'b. 6', 'c. 7', 'd. 8.485', 'e. 8']

Output: d

Input: Consider Input: Problem: a train 50 m long takes 6 sec to cross a man walking at 5 kmph in a direction opposite to that of the train. find the speed of the train ?
Options: a. 15 kmph, b. 25 kmph, c. 35 kmph, d. 45 kmph, e. 55 kmph

Output: b

Input: Consider Input: Problem: a small pool filled only with water will require an additional 700 gallons of water in order to be filled to 80 % of its capacity. if pumping in these additional 700 gallons of water will increase the amount of water in the pool by 30 %, what is the total capacity of the pool in gallons ?
Options: a. 1000, b. 1250, c. 1300, d. 1600, e. 2125
Output: e