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: The ratio between the speeds of two trains is 7 : 8. If the second train runs 400 kms in 4 hours, then the speed of the first train is:

 Option A: 70 km/hr

 Option B: 75 km/hr

 Option C: 84 km/hr

 Option D: 87.5 km/hr

 Option E: 88.5 km/hr

Output: Option D


Input: Consider Input: Question: In a certain Gun shooting competition prizes were awarded as follows: the first place winner receives 11 points, the second place winner receives 7 points, the third place winner receives 5 points and the fourth place winner receives 2 points . No other points were awarded. John participated several times in the competition. The product of all the points he received was 84700. How many times did he participate in the competition.

 Option A: 7

 Option B: 5

 Option C: 3

 Option D: 2

 Option E: cannot be determined

Output: Option E


Input: Consider Input: Question: Over a ten-year period Pat's income rose from $15,000 to $35,000. What was the percent increase in her income?

 Option A: 33 [1][/3]%

 Option B: 42.8%

 Option C: 133 [1][/3]%

 Option D: 142.8%

 Option E: 233 [1][/3] %


Output: Option C