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.

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]
06 Nov 2008, 09:03

4

This post was BOOKMARKED

00:00

A

B

C

D

E

Difficulty:

45% (medium)

Question Stats:

65% (02:22) correct
35% (01:30) wrong based on 245 sessions

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?

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

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?

Re: For a certain race, 3 teams were allowed to enter 3 members [#permalink]
27 Jun 2013, 10:48

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.

Re: For a certain race, 3 teams were allowed to enter 3 members [#permalink]
21 Jul 2013, 22:25

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

Re: For a certain race, 3 teams were allowed to enter 3 members [#permalink]
22 Apr 2014, 22:38

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.

Re: For a certain race, 3 teams were allowed to enter 3 members [#permalink]
23 Apr 2014, 04:36

4

This post received KUDOS

Expert's post

1

This post was BOOKMARKED

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. _________________

Re: For a certain race, 3 teams were allowed to enter 3 members [#permalink]
20 Jun 2014, 05:10

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

Experts, can you please evaluate my solution/approach.

Team has to earn 6-n points. And 1 ≤ n ≤ 5 To minimize the total points, select maximum value of n i.e. 5 (for each of team's 3 participants). 3 is the answer.