instruction:
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.
question:
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
answer:
Option C


question:
Question: A man can row a boat at 20 kmph in still water. If the speed of the stream is 6 kmph, what is the time taken to row a distance of 66 km downstream?

 Option A: 30/83 hours

 Option B: 33/13 hours

 Option C: 31/13 hours

 Option D: 30/13 hours

 Option E: 30/14 hours
answer:
Option B


question:
Question: Of the families in City X in 1998, 30 percent owned a personal computer. The number of families in City X owning a computer in 2002 was 20 percent greater than it was in 1998, and the total number of families in City X was 8 percent greater in 2002 than it was in 1998. what percent of the families in City X owned a personal computer in 2002?

 Option A: 50.12%

 Option B: 52.66%

 Option C: 56.33%

 Option D: 33.33%

 Option E: 74.12%
answer:

Option D