You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option.

Input: Consider Input: Question: A pharmaceutical company received $3 million in royalties on the first $20 million in sales of and then $8 million in royalties on the next $108 million in sales. By approximately what percentage did the ratio of royalties to sales decrease from the first $20 million in sales to the next $108 million in sales?

Option A: 8%

Option B: 15%

Option C: 46%

Option D: 52%

Option E: 56%

Output: Option C

Input: Consider Input: Question: The greatest common factor of 16 and the positive integer n is 4, and the greatest common factor of n and 45 is 3. Which of the following could be the greatest common factor of n and 210?

Option A: 3

Option B: 14

Option C: 30

Option D: 42

Option E: 70

Output: Option D

Input: Consider Input: Question: Village P's population is 1200 greater than Village Q's population. If Village Q's population were reduced by 800 people, then Village P's population would be 6 times as large as Village Q's population. What is Village Q's current population?

Option A: 1050

Option B: 1100

Option C: 1150

Option D: 1200

Option E: 1250
Output: Option D