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

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In a certain game, scoring plays result in 2, 7, or 11 point [#permalink] New post 03 Jul 2013, 07:34
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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.

Thank you in advance. :-D
[Reveal] Spoiler: OA

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Re: In a certain game, scoring plays result in 2, 7, or 11 point [#permalink] New post 03 Jul 2013, 07:45
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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.

Thank you in advance. :-D


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] New post 03 Jul 2013, 15:52
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.

Thank you in advance. :-D


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] New post 03 Jul 2013, 15:55
Expert's post
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.

Thank you in advance. :-D


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.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
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Re: In a certain game, scoring plays result in 2, 7, or 11 point   [#permalink] 03 Jul 2013, 15:55
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