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: 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
answer:
Option E


question:
Question: Little John had $8.50. He spent $1.25 on sweets and gave to his two friends $1.20 and $2.20. How much money was left?

 Option A: $5.85

 Option B: $6.85

 Option C: $ 3.85

 Option D: $2.85

 Option E: $4.85
answer:
Option C


question:
Question: If x/y is an integer, which of the following must also be an integer?
I. xy
II. y/x
III. x

 Option A: I alone

 Option B: II alone

 Option C: III alone

 Option D: I and III

 Option E: None of the above
answer:

Option E