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The participants in a race consisted of 3 teams with 3 runners on each

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The participants in a race consisted of 3 teams with 3 runners on each  [#permalink]

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New post Updated on: 20 Jan 2015, 12:07
4
12
00:00
A
B
C
D
E

Difficulty:

  95% (hard)

Question Stats:

52% (02:33) correct 48% (02:33) wrong based on 248 sessions

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The participants in a race consisted of 3 teams with 3 runners on each team. A team was awarded 6 –n points if one of its runners finished in nth place, where 1 <= n <= 5. If all of the runners finished the race and if there were no ties, was each team awarded at least one point?

(1) No team was awarded more than a total of 6 points.
(2) No pair of teammates finished in consecutive places among the top five places.

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Originally posted by vannu on 14 Jul 2009, 13:50.
Last edited by Bunuel on 20 Jan 2015, 12:07, edited 1 time in total.
Renamed the topic and edited the question.
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Re: The participants in a race consisted of 3 teams with 3 runners on each  [#permalink]

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New post 14 Jul 2009, 14:03
2
1
Ans will be A

STmt 1: points to be awarded are 1,2,3,4,5, ie, total of 15 points. This stmt says that no team won more than 6, So 2 teams can get max of 6 points, and still we will have 3 points left which must have gone to third team. Sufficient.

Stmt 2: No two teammates finished in consecutive places, ie, no two team members got consecutive points.
It can be that Team A got 1,3, and 5 points, and B got 2 and 4 points and C got nothing.
It can also be that A, B and C got 1,2 and 3 points respectively. So stmt 2 is insufficient.
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Re: The participants in a race consisted of 3 teams with 3 runners on each  [#permalink]

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New post 15 Jul 2009, 06:45
There is a risk of carrying over information given in option 1 while solving option 2. like i did, and concluded that B is sufficient !

here is how I did it.

1-2-3-4-5

if you take A while solving B, you think oh 1-3 * 2-4 * so 5th can be taken by thrid team. but there is no restriction if you take B alone, so it could be 1-3-5 and 2-4

I have to be careful :)
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Re: The participants in a race consisted of 3 teams with 3 runners on each  [#permalink]

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New post 31 Jul 2009, 05:17
1-
There are 5 points to be given.
1st place 5
2nd place 4
3rd place 3
4th place 2 and
5th place 1 points.
Total it makes 15 points.
If no teams awarded greater than 6 points. Than in the worst case, two teams got 6 points. That makes at least 3 points given to the least awarded game. ( 6 + 6 + 3 = 15 )
Sufficient
2-
There is no certainty
say the ranking like.
1-team 1
2-team 2
3-team 1
4-team 2
5-team 1
Then team3 gets 0.
say the ranking like.
1-team 1
2-team 2
3-team 1
4-team 2
5-team 3
Then team3 gets 1.
Soooo, it is insufficient.

Answer is A.
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Re: The participants in a race consisted of 3 teams with 3 runners on each  [#permalink]

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New post 31 Jul 2009, 09:13
The participants in a race consisted of 3 teams with 3 runners on each team. A team was awarded 6 –n points if one of its runners finished in nth place, where 1 <= n <= 5. If all of the runners finished the race and if there were no ties, was each team awarded at least one point?
(1) No team was awarded more than a total of 6 points.
(2) No pair of teammates finished in consecutive places among the top five places.

maximize the points for each team

team one

5 = first,4 secound,3 3rd,2 4th and 1 5th

from 1

team 1 maximum = 5+1 = 6
team 2 max = 4+2 = 6

team 3 = 3

then A is suff

from 2

insuff and insignificant

A
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Re: The participants in a race consisted of 3 teams with 3 runners on each  [#permalink]

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New post 20 Jan 2015, 12:32
vannu wrote:
The participants in a race consisted of 3 teams with 3 runners on each team. A team was awarded 6 –n points if one of its runners finished in nth place, where 1 <= n <= 5. If all of the runners finished the race and if there were no ties, was each team awarded at least one point?

(1) No team was awarded more than a total of 6 points.
(2) No pair of teammates finished in consecutive places among the top five places.


Highest point that can be awarded: 6-1 = 5
Lowest point that can be awarded: 6-5 = 1

Sum of all the points: 5+4+3+2+1= 15

Statement-1: No team got more than 6 points
Now even if two teams got 6 points each, 3 points will be left with third team.
Thus sufficient

Statement-2 No pair of team mate finished consecutive
Members can finish in following manner (For teams A,B,C)
ABABA BCCC or ABCABCABC or any other pattern
So not sufficient!

Hence A
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Re: The participants in a race consisted of 3 teams with 3 runners on each  [#permalink]

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New post 11 Apr 2016, 00:38
Hi

I interpreted the question in a diff way

It says that there a 3 team and 3 runners in each team. So in all 9 runners

Now the scoring techniques

points = 6-n and 1<= n<=5

So i interpreted it as out of the 9 runner completing the exam only the first 5 would be scored and rest would get 0

So for statement 2 where we have that no two team member secure consecutive position then the worst score can be

9th postion- o
7th position - 0
5th position- 1
So atleast 1 point

Hence,sufficient

and the answer should be D.

Can anyone pls clarify this. Am I not understanding the question well.
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Re: The participants in a race consisted of 3 teams with 3 runners on each  [#permalink]

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New post 11 Apr 2016, 23:39
1
1
mbhaduri wrote:
Hi

I interpreted the question in a diff way

It says that there a 3 team and 3 runners in each team. So in all 9 runners

Now the scoring techniques

points = 6-n and 1<= n<=5

So i interpreted it as out of the 9 runner completing the exam only the first 5 would be scored and rest would get 0

So for statement 2 where we have that no two team member secure consecutive position then the worst score can be

9th postion- o
7th position - 0
5th position- 1
So atleast 1 point

Hence,sufficient

and the answer should be D.

Can anyone pls clarify this. Am I not understanding the question well.


You are right almost till the end but you missed one point.

Note this:
(2) No pair of teammates finished in consecutive places among the top five places

So they could have been in consecutive places in the last 3 spots - 9th, 8th and 7th - and the team would have got a total of 0 points in that case.
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The participants in a race consisted of 3 teams with 3 runners on each  [#permalink]

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New post 01 Jul 2018, 15:45
5,4,3,2,1

(1) must distribute above points among 3 teams to be true
Sufficient

(2) 5,3,1 and 4,2 and no points
5,3 and 4,2 and 1
Insufficient

Answer A
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The participants in a race consisted of 3 teams with 3 runners on each &nbs [#permalink] 01 Jul 2018, 15:45
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