GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 18 Jun 2019, 06:43

### 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

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

# For a certain race, 3 teams were allowed to enter 3 members

Author Message
TAGS:

### Hide Tags

Intern
Joined: 05 Nov 2008
Posts: 6
For a certain race, 3 teams were allowed to enter 3 members  [#permalink]

### Show Tags

06 Nov 2008, 10:03
10
129
00:00

Difficulty:

55% (hard)

Question Stats:

66% (02:11) correct 34% (02:11) wrong based on 1758 sessions

### HideShow timer Statistics

For a certain race, 3 teams were allowed to enter 3 members each. A team earned 6 – n points whenever one of its members finished in nth place, where 1 ≤ n ≤ 5. There were no ties, disqualifications, or withdrawals. If no team earned more than 6 points, what is the least possible score a team could have earned?

A. 0
B. 1
C. 2
D. 3
E. 4
Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 9330
Location: Pune, India
Re: For a certain race, 3 teams were allowed to enter 3 members each. A  [#permalink]

### Show Tags

05 Dec 2010, 19:44
43
1
8
I3igDmsu wrote:
I am struggling with this one, it may be that I don't understand the question and information given.

If there are 3 teams of 3 members each (9 people total), wouldn't the possible finishes for each member of the teams be 1st, 2nd, 3rd,..., 9th?

How is it that 1 <= n <= 5 when there are 9 racers? Do racers 6 through 9 just get 0 points?

Yes, a racer gets points only when he/she ranks 1 - 5.

Break down the question to get a handle on it:
For a certain race, 3 teams were allowed to enter 3 members each.
This means 9 racers.

A team earned 6-n points whenever one of its members finished in nth place, where 1<= n<=5, there were no ties, or withdraw.
Since n varies from 1 to 5, only when a member finishes in one of those positions, does he score something. That something is 6 - n. So person who finishes first, gets 5 points, person who finishes 2nd gets 4 points and so on till the person who finishes 5th gets 1 point. So in all, 5+4+3+2+1 = 15 points were given

If no team earned more than 6 points, what is the least possible score a team could have owned?
No team got more than 6 points. We have to find the minimum score of a team. Since the total is 15 and one score has to be minimized, we should try to maximize the other two scores. Maximum score is 6 so other two teams get 6 points each maximum (e.g. One team gets 5 + 1, another gets 4+2). Then the third team will get a minimum score of 15 - 2*6 = 3
_________________
Karishma
Veritas Prep GMAT Instructor

SVP
Joined: 29 Aug 2007
Posts: 2262

### Show Tags

06 Nov 2008, 10:25
21
11
caiyun wrote:
For a certain race, 3 teams were allowed to enter 3 members each. A team earned 6 – n points whenever one of its members finished in nth place, where 1 ≤ n ≤ 5. There were no ties, disqualifications, or withdrawals. If no team earned more than 6 points, what is the least possible score a team could have earned?

A. 0
B. 1
C. 2
D. 3
E. 4

finishing place = 1, 2, 3, 4, and 5.

possible points:
1st place = 6 - 1 = 5
2nd place = 6 - 2 = 4
3rd place = 6 - 3 = 3
4th place = 6 - 4 = 2
5th place = 6 - 5 = 1

so total points = 5+4+3+2+1 = 15
If we assign maximum scores to 2 teams, then the remaining scores is for the remaining team.
max scores first 2 teams can have = 6 (6+1) + 6 (4+2) = 12
so the remaining team must have = 3 scores

so got D.
_________________
Gmat: http://gmatclub.com/forum/everything-you-need-to-prepare-for-the-gmat-revised-77983.html

GT
##### General Discussion
Current Student
Joined: 28 Dec 2004
Posts: 3108
Location: New York City
Schools: Wharton'11 HBS'12

### Show Tags

06 Nov 2008, 11:11
10
7
OK so total runners is 9..but only the first 5 actually get you any points...right

so lets say teams are T1, T2 and T3

T1 gets 1st spot so (6-1)=5, now we are told that no one scores over 6..so then assume that 2nd runner of T1 gets 6-5=1 point so in all T1 has 6 points..the 3rd runner was below 5th so he doesnt carry in points.anyway..

T2 gets 2nd spot so they 4 points from one of their runners, then their other runner gets 4th spot, and thus T2 also get 6 points..

T3 is left with only one runner who is at 3rd spot..so they get 3 points..

D it is

caiyun wrote:
For a certain race, 3 teams were allowed to enter 3 members each. A team earned 6 – n points whenever one of its members finished in nth place, where 1 ≤ n ≤ 5. There were no ties, disqualifications, or withdrawals. If no team earned more than 6 points, what is the least possible score a team could have earned?

A. 0
B. 1
C. 2
D. 3
E. 4
VP
Joined: 17 Jun 2008
Posts: 1330

### Show Tags

07 Nov 2008, 06:12
8
5
Plz see below.
Attachments

untitled.JPG [ 20.25 KiB | Viewed 58206 times ]

Manager
Affiliations: Beta Gamma Sigma
Joined: 14 Aug 2008
Posts: 195
Schools: Harvard, Penn, Maryland
Re: For a certain race, 3 teams were allowed to enter 3 members each. A  [#permalink]

### Show Tags

31 May 2009, 10:09
9
should be 3 points.

the teams scored 6 - n points for each prize won.

this results in 5 points for first, 4 for second, etc.

The total number of points given for the race is 5 + 4 + 3 + 2 + 1, or 15 points awarded to all 3 teams combined.

since no team was awarded more than 6, then to get the least possible score, assume two teams earned 6 points.

15 - 2 (6) = 3

there are only 3 more points to be awarded, so the least possible score for the losing team would be 3.
Manager
Affiliations: Beta Gamma Sigma
Joined: 14 Aug 2008
Posts: 195
Schools: Harvard, Penn, Maryland
Re: For a certain race, 3 teams were allowed to enter 3 members each. A  [#permalink]

### Show Tags

31 May 2009, 13:59
1
1
if both teams earned 6 the last team would earn the least.

Since 6 is the limit, and the total points awarded is 15, then 6+6+3=15. if one scored 5, it would be 6+5+4, and the least score would be 4, and vice versa, so that if both teams score 6 you get the least possible score for the last team
Intern
Joined: 12 May 2009
Posts: 44
Location: Mumbai
Re: For a certain race, 3 teams were allowed to enter 3 members each. A  [#permalink]

### Show Tags

01 Jun 2009, 05:44
1
Consider a team member comes last gets last point, that will be 5 in our case, the team will earn 6-5 = 1 point,
Similarly the minimum possibility is that the team lasted in all the 3 events.
so 3* 1 = 3 points is the minimum.

If this answer is not in OA, then we need to substitite with different combinations.

Thanks,
Manager
Affiliations: Beta Gamma Sigma
Joined: 14 Aug 2008
Posts: 195
Schools: Harvard, Penn, Maryland
Re: For a certain race, 3 teams were allowed to enter 3 members each. A  [#permalink]

### Show Tags

01 Jun 2009, 13:10
each team has three members, so it could place 1st and 5th to get 6 points, or second and fourth.

Team 1: 1st and 5th - 5+1= 6 points
Team 2: 2nd and 4th - 4+2=6 points

Team 3: 3rd place - 3 points

the least possible score team 3 could have would be 3 points.
Manager
Joined: 25 May 2009
Posts: 130
Concentration: Finance
GMAT Date: 12-16-2011
Re: For a certain race, 3 teams were allowed to enter 3 members each. A  [#permalink]

### Show Tags

07 Jun 2009, 18:06
I am struggling with this one, it may be that I don't understand the question and information given.

If there are 3 teams of 3 members each (9 people total), wouldn't the possible finishes for each member of the teams be 1st, 2nd, 3rd,..., 9th?

How is it that 1 <= n <= 5 when there are 9 racers? Do racers 6 through 9 just get 0 points?
Intern
Joined: 28 Jan 2010
Posts: 29

### Show Tags

01 Mar 2010, 07:49
1
1
Scores are 5,4,3,2 and 1.
Giving maximum score to the first two teams so that the third team has the minimum.
5+1 = 6; 4+2= 6; 3
Hence 3.
Intern
Joined: 09 Aug 2010
Posts: 1
Re: For a certain race, 3 teams were allowed to enter 3 members each. A  [#permalink]

### Show Tags

05 Dec 2010, 16:50
I3igDmsu wrote:
I am struggling with this one, it may be that I don't understand the question and information given.

If there are 3 teams of 3 members each (9 people total), wouldn't the possible finishes for each member of the teams be 1st, 2nd, 3rd,..., 9th?

How is it that 1 <= n <= 5 when there are 9 racers? Do racers 6 through 9 just get 0 points?

Try thinking of this as only the top 5 individuals from the teams can earn points for their teams, the rest of the 4 people who didn't place in the top 5 don't matter.
Director
Joined: 29 Nov 2012
Posts: 732
Re: For a certain race, 3 teams were allowed to enter 3 members  [#permalink]

### Show Tags

26 Jun 2013, 01:19
Is this a combination and probability question?
Math Expert
Joined: 02 Sep 2009
Posts: 55668
Re: For a certain race, 3 teams were allowed to enter 3 members  [#permalink]

### Show Tags

26 Jun 2013, 01:31
1
fozzzy wrote:
Is this a combination and probability question?

No, it's min/max problem.
_________________
Manager
Joined: 18 Oct 2011
Posts: 83
Location: United States
Concentration: Entrepreneurship, Marketing
GMAT Date: 01-30-2013
GPA: 3.3
Re: For a certain race, 3 teams were allowed to enter 3 members  [#permalink]

### Show Tags

27 Jun 2013, 11:48
Since no team scored more than 6 points one team must have 1st, 2nd and 3rd place only otherwise the total will exceed 6. Fourth place will yeild 2 points which cannot go to the team which had a member that placed 1st. Since we are looking at minimizing points for a team, we would place 4th place with the team that also got 2nd place. Similarly, we would also allocate 5th place to the team that got 1st place. Therefore, 3 is the lowest point total possible for a team with this scenario.

Intern
Joined: 21 Jul 2013
Posts: 1
Re: For a certain race, 3 teams were allowed to enter 3 members  [#permalink]

### Show Tags

21 Jul 2013, 15:34
1
This wording of this problem is still misleading because how can Team 1 and 2 both get 6 points total if it says there were no ties?
Math Expert
Joined: 02 Sep 2009
Posts: 55668
Re: For a certain race, 3 teams were allowed to enter 3 members  [#permalink]

### Show Tags

21 Jul 2013, 22:17
shriyasp wrote:
This wording of this problem is still misleading because how can Team 1 and 2 both get 6 points total if it says there were no ties?

"No ties" means that there were no ties between members/runners not between teams.
_________________
Intern
Joined: 19 Nov 2012
Posts: 21
Re: For a certain race, 3 teams were allowed to enter 3 members  [#permalink]

### Show Tags

21 Jul 2013, 23:25
1
Hi Everyone

My explanation -

Since n is less than equal to 5 and if a player finishes at nth position the team will get 6-n points
so the team will get minimum points if all of it's members finish at nth position earning 3(6-n) points
As it is a min/max problem the score will be minimum when n=5 so 3(6-5)=3
Intern
Status: MBA Aspirant
Joined: 24 Aug 2012
Posts: 40
Location: India
Re: For a certain race, 3 teams were allowed to enter 3 members  [#permalink]

### Show Tags

22 Apr 2014, 23:38
Minimum possible score which team can earn through each member is 1. There are 3 members in each team. So, minimum possible score for a team is 1+1+1=3.

thats how i thought it to be. Experts please let me know if its correct.
Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 9330
Location: Pune, India
Re: For a certain race, 3 teams were allowed to enter 3 members  [#permalink]

### Show Tags

23 Apr 2014, 05:36
10
5
aniketb wrote:
Minimum possible score which team can earn through each member is 1. There are 3 members in each team. So, minimum possible score for a team is 1+1+1=3.

thats how i thought it to be. Experts please let me know if its correct.

From what I understand from your explanation, I don't think your method is correct.

Note that only one person will get a score of 1. There are 3 teams with 3 athletes each so there are a total of 9 athletes competing in the race.
The first 5 positions, will be given points 5, 4, 3, 2 and 1. So theoretically, a team could gather a max of 5+4+3 = 12 points if its three athletes get positions 1st, 2nd and 3rd. Also, theoretically, a team could get 0 points if its 3 athletes occupy the last 3 positions!

There are a total of 5+4+3+2+1 = 15 points up for grabs among the 9 athletes.

But you are given that the max points a team got was 6. Say, its two athletes got ranks 1st and 5th and hence scored 5 and 1 respectively.
To give minimum points to one team, we need to give max points to the other team too i.e. 6 (say, its two athletes got ranks 2nd and 4th).
So out of a total of 15 points, 6 each are allotted to two teams leaving you with 3 points for the third team (one of its athletes came in 3rd)

That is the reason 3 is the minimum points a team could get.
_________________
Karishma
Veritas Prep GMAT Instructor

Re: For a certain race, 3 teams were allowed to enter 3 members   [#permalink] 23 Apr 2014, 05:36

Go to page    1   2   3    Next  [ 42 posts ]

Display posts from previous: Sort by