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

[BTGmoderatorDC]

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

[Ignite]

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.