Check GMAT Club Decision Tracker for the Latest School Decision Releases https://gmatclub.com/AppTrack

It is currently 26 May 2017, 07:08

Close

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

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

  post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Manager
Manager
User avatar
Joined: 22 Apr 2013
Posts: 88
Followers: 1

Kudos [?]: 34 [0], given: 95

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

Show Tags

New post 03 Jul 2013, 08:34
3
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

61% (02:26) correct 39% (01:31) wrong based on 107 sessions

HideShow timer Statistics

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

_________________

I do not beg for kudos.

Expert Post
2 KUDOS received
Math Expert
User avatar
P
Joined: 02 Sep 2009
Posts: 38897
Followers: 7738

Kudos [?]: 106204 [2] , given: 11609

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

Show Tags

New post 03 Jul 2013, 08:45
2
This post received
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.

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.
_________________

New to the Math Forum?
Please read this: All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

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?
Extra-hard Quant Tests with Brilliant Analytics

Manager
Manager
User avatar
B
Joined: 14 Jan 2013
Posts: 153
Concentration: Strategy, Technology
GMAT Date: 08-01-2013
GPA: 3.7
WE: Consulting (Consulting)
Followers: 4

Kudos [?]: 285 [0], given: 30

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

Show Tags

New post 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.

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 ? :| :(
_________________

"Where are my Kudos" ............ Good Question = kudos

"Start enjoying all phases" & all Sections

__________________________________________________________________
http://gmatclub.com/forum/collection-of-articles-on-critical-reasoning-159959.html

http://gmatclub.com/forum/percentages-700-800-level-questions-130588.html

http://gmatclub.com/forum/700-to-800-level-quant-question-with-detail-soluition-143321.html

Expert Post
Math Expert
User avatar
P
Joined: 02 Sep 2009
Posts: 38897
Followers: 7738

Kudos [?]: 106204 [0], given: 11609

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

Show Tags

New post 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.

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 the Math Forum?
Please read this: All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

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?
Extra-hard Quant Tests with Brilliant Analytics

Intern
Intern
avatar
Joined: 25 Feb 2017
Posts: 3
Followers: 0

Kudos [?]: 0 [0], given: 1

GMAT ToolKit User
Game data sufficiency problem - help wanted also. [#permalink]

Show Tags

New post 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
1 KUDOS received
Intern
Intern
User avatar
B
Joined: 03 Feb 2017
Posts: 18
Followers: 0

Kudos [?]: 9 [1] , given: 19

Premium Member CAT Tests
Re: Game data sufficiency problem - help wanted also. [#permalink]

Show Tags

New post 27 Feb 2017, 21:14
1
This post received
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
Intern
avatar
Joined: 25 Feb 2017
Posts: 3
Followers: 0

Kudos [?]: 0 [0], given: 1

GMAT ToolKit User
Re: Game data sufficiency problem - help wanted also. [#permalink]

Show Tags

New post 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.
Expert Post
Math Expert
User avatar
P
Joined: 02 Sep 2009
Posts: 38897
Followers: 7738

Kudos [?]: 106204 [0], given: 11609

Re: Game data sufficiency problem - help wanted also. [#permalink]

Show Tags

New post 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
_________________

New to the Math Forum?
Please read this: All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

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?
Extra-hard Quant Tests with Brilliant Analytics

Re: Game data sufficiency problem - help wanted also.   [#permalink] 27 Feb 2017, 22:08
    Similar topics Author Replies Last post
Similar
Topics:
3 A basketball team plays 10 games, and it scores 12 points on average. hazelnut 2 03 Apr 2017, 22:33
1 Experts publish their posts in the topic A certain electronic memory game is played by answering equa ankitD 5 10 Feb 2013, 07:24
10 Experts publish their posts in the topic In order to play a certain game, 24 players must be split in enigma123 19 19 Nov 2016, 21:29
11 Experts publish their posts in the topic A certain football team played x games last season, of which enigma123 7 02 Dec 2016, 07:59
10 Experts publish their posts in the topic In a certain game played with red chips and blue chips, each rite2deepti 7 20 Sep 2015, 00:51
Display posts from previous: Sort by

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

  post reply Question banks Downloads My Bookmarks Reviews Important topics  


cron

GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group and phpBB SEO

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.