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.
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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: Find the greatest number which on dividing 1255 and 1490, leaves a reminder of 8 and 11 respectively

 Option A: 27

 Option B: 29

 Option C: 33

 Option D: 39

 Option E: 41

Answer: Option B


Question: Question: The perimeters of two squares are 40 cm and 24 cm. Find the perimeter of a third square whose area is equal to the difference of the areas of the two squares .

 Option A: 22 cm

 Option B: 24 cm

 Option C: 32 cm

 Option D: 28 cm

 Option E: 29 cm

Answer:
Option C