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.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 500,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

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

Show Tags

28 Aug 2004, 11:18

00:00

A

B

C

D

E

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct
0% (00:00) wrong based on 0 sessions

HideShow timer Statistics

This topic is locked. If you want to discuss this question please re-post it in the respective forum.

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

A team earned 6 â€“ 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?

This question came from the OG, but I think it was a DS questions.

Anyway, there are 3 teams and 9 members altogether.

So if a team finish first, it gets 6 points, second, 5 points, third 4 points and so on.. there's no points for coming in last.

The least possible points a team can get is when the other 2 teams pick up the maximum points. So assuming 2 teams got the maximum of 6 points, then there's still (5+4+3+2+1)-12 = 3 points left for the last team.

Combination of possible points that the three teams can score (given the condition that it cannot exceed 6 points)
(5,0), (5,1)
(4,1), (4,2), (4,0)
(3,2), (3,1), (3,0)

Considering points beyond this would mean scores of
(2,4), (2,3), (2,0) and
(1,0), (1,5), (1,4), (1,3)

However if scores were (2,0) and (1,0) this would mean that there is a possibility that in the total points score other two teams can have distributions exceeding 6 total points.