stonecold wrote:

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.

A) 7

B) 5

C) 3

D) 2

E) cannot be determined

Note:- Question is a bit modified version of

MGMAT.

The main reason that the answer is E is because we do not know if he came 5th or 6th or any other rank. Because for those positions no points were awarded .

Case 1: Suppose there are 10 people in the competition and John came 5th once and 8th once and the product of the remainder of the points were 84700. Here John participated 9 times .

Case 2:Suppose there are 10 people in the competition and John came 5th, 8th and 10th once and the product of the remainder of the points were 84700. Here John participated 10 times .

Hence number of times he participated cannot be determined

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- Stne