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: Machine P and Machine Q are each used to manufacture 770 sprockets. It takes Machine P 10 hours longer to produce 770 sprockets than Machine Q. Machine Q produces 10% more sprockets per hour than Machine A. How many sprockets per hour does Machine A produce?

 Option A: 3

 Option B: 5

 Option C: 7

 Option D: 9

 Option E: 11

Output: Option C


Input: Consider Input: Question: In a queue that comprises of 7 students. Sam and Tom are in the queue, what is the probability that they will be standing next to each other in the queue?

 Option A:  7%

 Option B:  14%

 Option C:  21%

 Option D:  28%

 Option E:  35%

Output: Option C


Input: Consider Input: Question: If n is an integer, then the least possible value of |33 - 5n| is?

 Option A: 0

 Option B: 1

 Option C: 2

 Option D: 3

 Option E: 4


Output: Option C