LUANDATO wrote:In a certain game of archery the points in each round for the first,second,third and fourth position were 7,5,3,2 . No other points were given. Ross participated in several rounds in the competition and the product of his score was 21000. In How many Rounds Did he participate?
[A] 8
6
[C] 9
[D] 7
[E] Cannot be determined

The OA is E.

Brent@GMATPrepNow wrote:

LUANDATO wrote:In a certain game of archery the points in each round for the first,second,third and fourth position were 7,5,3,2 . No other points were given. Ross participated in several rounds in the competition and the product of his score was 21000. In How many Rounds Did he participate?
[A] 8
6
[C] 9
[D] 7
[E] Cannot be determined

Here's how I read it: in each round of play the player receives 7 points, 5 points, 3 points, or 2 points.
21000 = (2)(2)(2)(3)(5)(5)(5)(7)
So, it appears that Ross got three 2's, one 3, three 5's and one 7
Since there's no other way to get a product of 21000 (using 2's, 3's, 5's and 7's only), then Ross must have played 8 rounds.

Am I missing something?

Cheers,
Brent