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In a certain game, scoring plays result in 2, 7, or 11 points only. How many times did a team playing this game score 2

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by BTGmoderatorDC » Mon Aug 03, 2020 6:22 pm

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Answers

A

B

C

D

E

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Difficulty—

In a certain game, scoring plays result in 2, 7, or 11 points only. How many times did a team playing this game score 2 points on a play?

1) The team scored 7 points on a scoring play exactly 3 times.
2) The product of the point values from all of the team's scoring plays is 6860.


OA B

Source: Princeton Review
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Re: In a certain game, scoring plays result in 2, 7, or 11 points only. How many times did a team playing this game scor

by Ignite » Mon Aug 03, 2020 8:51 pm
We need to find how many times the team scored 2 s

1. We know that the team scored 7 points three times. But no information about the number of times they scored 2 points, nor can we find the same from the available information.

2. If we find prime factors of 6860 we get: 2 x 2 x 5 x 7 x 7 x 7
From this, we find the number of 2 points scored by the team is TWO times.

So [2] is sufficient.

Answer B

But the question says "scoring plays result in 2, 7, or 11 points only", while in the prime factors of 6860 we find a 5 and no 11. I think that 11 should actually be 5 or that 5 should be available in points. There's a problem with the question.


Thanks,
Ignite.
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