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 the ratio of two number is 6: 7 and lcm of the number is 450 then what is the number.
Options: a. 11, b. 20, c. 25, d. 30, e. 35

Output: a


Input: Consider Input: Problem: a rectangular tiled patio is composed of 96 square tiles. the rectangular patio will be rearranged so that there will be 2 fewer columns of tiles and 4 more rows of tiles. after the change in layout, the patio will still have 96 tiles, and it will still be rectangular. how many rows are in the tile patio before the change in layout ?
Options: a. 5, b. 6, c. 8, d. 13, e. 28

Output: c


Input: Consider Input: Problem: the perimeter of a rectangular yard is completely surrounded by a fence that measures 36 meters. what is the length of the yard if the area of the yard is 40 meters squared ?
Options: a. 12, b. 10, c. 8, d. 14, e. 16


Output: c