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# In a certain game, scoring plays result in 2, 7, or 11 point

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Manager
Joined: 22 Apr 2013
Posts: 88
In a certain game, scoring plays result in 2, 7, or 11 point [#permalink]

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03 Jul 2013, 08:34
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55% (hard)

Question Stats:

59% (02:25) correct 41% (01:29) wrong based on 111 sessions

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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 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.

This question is listed in "Math Workout for the New GMAT", 4th Edition, The Princeton Review, as a high level GMAT question.

Is this actually a valid question? The product of the scores given in option 2 has a prime factorization of {2, 2, 5, 7, 7, 7}. The factorization contains one "5" and no "11's". I don't see how this is possible if 6860 is supposed to be the products of 2^x*7^y*11^z.

The original answer and explanation is based on this factorization, giving an answer of 2 scores of 2 points by the team.

[Reveal] Spoiler: OA

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Re: In a certain game, scoring plays result in 2, 7, or 11 point [#permalink]

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03 Jul 2013, 08:45
2
KUDOS
Expert's post
MzJavert wrote:
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.

This question is listed in "Math Workout for the New GMAT", 4th Edition, The Princeton Review, as a high level GMAT question.

Is this actually a valid question? The product of the scores given in option 2 has a prime factorization of {2, 2, 5, 7, 7, 7}. The factorization contains one "5" and no "11's". I don't see how this is possible if 6860 is supposed to be the products of 2^x*7^y*11^z.

The original answer and explanation is based on this factorization, giving an answer of 2 scores of 2 points by the team.

I think you have a valid point there. Though it might be a simple typo and the stem should read: "scoring plays result in 2, 5, 7, or 11 points only."

Similar questions to practice:
in-a-certain-game-a-large-container-is-filled-with-red-yel-144902.html (OG PS)
in-a-certain-game-a-large-bag-is-filled-with-blue-green-126425.html (MGMAT PS)

Hope it helps.
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Re: In a certain game, scoring plays result in 2, 7, or 11 point [#permalink]

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03 Jul 2013, 16:52
Bunuel wrote:
MzJavert wrote:
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.

This question is listed in "Math Workout for the New GMAT", 4th Edition, The Princeton Review, as a high level GMAT question.

Is this actually a valid question? The product of the scores given in option 2 has a prime factorization of {2, 2, 5, 7, 7, 7}. The factorization contains one "5" and no "11's". I don't see how this is possible if 6860 is supposed to be the products of 2^x*7^y*11^z.

The original answer and explanation is based on this factorization, giving an answer of 2 scores of 2 points by the team.

I think you have a valid point there. Though it might be a simple typo and the stem should read: "scoring plays result in 2, 5, 7, or 11 points only."

Similar questions to practice:
in-a-certain-game-a-large-container-is-filled-with-red-yel-144902.html (OG PS)
in-a-certain-game-a-large-bag-is-filled-with-blue-green-126425.html (MGMAT PS)

Hope it helps.

I agree the factorization has 5 and no 11, but no where in the Question it says that team scored 11. It only says team can score 11.

So, in that case we can answer it as team scored "2" two times.

Does it make any sense or I am too sleepy to think so ?
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Re: In a certain game, scoring plays result in 2, 7, or 11 point [#permalink]

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03 Jul 2013, 16:55
Mountain14 wrote:
Bunuel wrote:
MzJavert wrote:
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.

This question is listed in "Math Workout for the New GMAT", 4th Edition, The Princeton Review, as a high level GMAT question.

Is this actually a valid question? The product of the scores given in option 2 has a prime factorization of {2, 2, 5, 7, 7, 7}. The factorization contains one "5" and no "11's". I don't see how this is possible if 6860 is supposed to be the products of 2^x*7^y*11^z.

The original answer and explanation is based on this factorization, giving an answer of 2 scores of 2 points by the team.

I think you have a valid point there. Though it might be a simple typo and the stem should read: "scoring plays result in 2, 5, 7, or 11 points only."

Similar questions to practice:
in-a-certain-game-a-large-container-is-filled-with-red-yel-144902.html (OG PS)
in-a-certain-game-a-large-bag-is-filled-with-blue-green-126425.html (MGMAT PS)

Hope it helps.

I agree the factorization has 5 and no 11, but no where in the Question it says that team scored 11. It only says team can score 11.

So, in that case we can answer it as team scored "2" two times.

Does it make any sense or I am too sleepy to think so ?

Yes, the total score does not have to have 11 as its factor.
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Intern
Joined: 25 Feb 2017
Posts: 3
Game data sufficiency problem - help wanted also. [#permalink]

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27 Feb 2017, 17:34
In a certain game, scoring point results in 2, 5, or 7 points only. How many times did a team playing this game score 2 points on a play?

1) The team scored 7 points exactly 3 times.
2) The product for the point values for all of the teams scoring plays was 6860.

SPOILER
My issue:
After finding 1 alone insufficient, I got stuck after factoring to 2x2x5x7x7x7. How do you figure out how many times 2 was scored once you have the prime factors?

Also wondering what difficulty level this problem would be considered?

Thanks
Intern
Joined: 03 Feb 2017
Posts: 21
Re: Game data sufficiency problem - help wanted also. [#permalink]

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27 Feb 2017, 21:14
1
KUDOS
Team can score only 2 5 and 7 points, we have to find number of times team scored 2.

Lets look at the information is statements
1) The team scored 7 points exactly 3 times. (there is no way you could determine number of times team scored 2 from this information)
2) The product for the point values for all of the teams scoring plays was 6860. (This also could not tell us the number of times team scored 2)

Taking 1 and 2 together, team scored 7 points exactly 3 times => product =21
And product of all the scores is 6860. Dividing 6860 by 21 gives us the product of scores in from of 2 and 5.
6860/21=980. So, this 980 is the product of point values in 2 and 5 as we have already removed 7 by dividing.
Number of times 2 and 5 were scored = 980/2*5 =98. So, 98 times team scored 2 as well as 5. Answer should be C
Intern
Joined: 25 Feb 2017
Posts: 3
Re: Game data sufficiency problem - help wanted also. [#permalink]

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27 Feb 2017, 22:00
From the answer page in the book:

B First take a look at Statement (1). Knowing that the team scored 7 points exactly three times does not help you to determine how many times the team scored any of the other point increments. Statement (1) is not sufficient. Your remaining choices are (B), (C) and (E). Now, look at Statement (2). This statement may initially look insufficient, but since the point increments are prime factors, you should first factor 6,860 to get 2 x 2 x 5 x 7 x 7 x 7. Therefore, knowing the product of the points is 6,860, you can determine the number of times 2 points were scored. Choose (B).

What I don't get, is how do you find the number of times 2 was scored based solely on the prime factorization?

Thanks.
Math Expert
Joined: 02 Sep 2009
Posts: 39755
Re: Game data sufficiency problem - help wanted also. [#permalink]

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27 Feb 2017, 22:08
Drowsypirate wrote:
In a certain game, scoring point results in 2, 5, or 7 points only. How many times did a team playing this game score 2 points on a play?

1) The team scored 7 points exactly 3 times.
2) The product for the point values for all of the teams scoring plays was 6860.

SPOILER
My issue:
After finding 1 alone insufficient, I got stuck after factoring to 2x2x5x7x7x7. How do you figure out how many times 2 was scored once you have the prime factors?

Also wondering what difficulty level this problem would be considered?

Thanks

Merging topics. Please refer to the discussion above.

Also, please follow the rules when posting a question: https://gmatclub.com/forum/rules-for-po ... 33935.html
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Re: Game data sufficiency problem - help wanted also.   [#permalink] 27 Feb 2017, 22:08
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