In a certain game of archery the points in each round for the first, second, third and fourth position were 7, 5, 3, 2.

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Source: Manhattan Prep

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
B. 6
C. 9
D. 7
E. Cannot be determined

The OA is E

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This question is an exercise in careful reading.

His total score reflects the rounds in which he placed.

But he received no score if he placed lower than 4th.

So he may not have placed in 10000 rounds or 0 rounds, no way of knowing

E