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The participants in a race consisted of 3 teams with 3

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VP
Joined: 22 Nov 2007
Posts: 1077
The participants in a race consisted of 3 teams with 3 [#permalink]

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12 Mar 2008, 10:17
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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 n th 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 team-mates finished in consecutive places among the top five
places.
Senior Manager
Joined: 15 Aug 2007
Posts: 252
Schools: Chicago Booth
Re: gprep logic [#permalink]

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12 Mar 2008, 19:15
1
KUDOS
I am confused... what happens to the person coming in first, gets no points? Should condition be 1 <= n <= 5?

Assuming the condition is 1 <= n <= 5

statement 1: total points awarded for all runners is 5+4+3+2+1=15. So if teams don't get morethan 6 points each, they all must have got atleast one point (e.g, 6,6,3..) - sufficient

statement 2: can't say - for example

1,3,5 places won by team A
2,4 places won by team B
C doesn't get any points

another case:

1,3 places won by team A
2,4 places won by team B
5 won by C
All get atleast one point

so insufficient.
VP
Joined: 22 Nov 2007
Posts: 1077
Re: gprep logic [#permalink]

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12 Mar 2008, 22:18
sreehari wrote:
I am confused... what happens to the person coming in first, gets no points? Should condition be 1 <= n <= 5?

Assuming the condition is 1 <= n <= 5

statement 1: total points awarded for all runners is 5+4+3+2+1=15. So if teams don't get morethan 6 points each, they all must have got atleast one point (e.g, 6,6,3..) - sufficient

statement 2: can't say - for example

1,3,5 places won by team A
2,4 places won by team B
C doesn't get any points

another case:

1,3 places won by team A
2,4 places won by team B
5 won by C
All get atleast one point

so insufficient.

actually OA is A. cond.1 says that 2 teams can reach at maximum 12 points. total points won are 5+4+3+2+1=15, thus last team can reach a minimum of 3 points.
I still can't catch cond2 . any help?
Director
Joined: 05 Jan 2008
Posts: 685
Re: gprep logic [#permalink]

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13 Mar 2008, 02:29
that was a good question

Good explanation Sreehari (+1)
Stmt-2->No pair of team-mates finished in consecutive places among the top five
places.

1,2,3,4,5 are the places and

This means Team players A cannot be at 1,2,3 or 1,3,4 or 1,4,5 thus

1,3,5 -> team A => points would be 5,3,1
2,4-> team B=> points would be 4,2
Team C does not get any points=> 0

or 1,3 position for Team => points would be 5+3
5 position for Team C=> points would 1
2,4 for Team B=> points would be 4+2

Thus Stmt-2 is insufficient
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VP
Joined: 22 Nov 2007
Posts: 1077
Re: gprep logic [#permalink]

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13 Mar 2008, 23:30
prasannar wrote:
that was a good question

Good explanation Sreehari (+1)
Stmt-2->No pair of team-mates finished in consecutive places among the top five
places.

1,2,3,4,5 are the places and

This means Team players A cannot be at 1,2,3 or 1,3,4 or 1,4,5 thus

1,3,5 -> team A => points would be 5,3,1
2,4-> team B=> points would be 4,2
Team C does not get any points=> 0

or 1,3 position for Team => points would be 5+3
5 position for Team C=> points would 1
2,4 for Team B=> points would be 4+2

Thus Stmt-2 is insufficient

that's clear now. thanks
SVP
Joined: 21 Jul 2006
Posts: 1508
Re: gprep logic [#permalink]

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17 Aug 2008, 04:46
can somebody help me with this problem? in statement one, although I understand what sreehari did in his calculation, his calculation is assuming the maximum possibility. Since no team got more than 6 points, doesn't that open the possibility for each team to score less than 6 points? for example, what if 1 team scores nothing, and then the second team gets only 2 points? finally, the third team could get perhaps only 5 points. so how can we be certain that ALL of them had at least 1 point?
Re: gprep logic   [#permalink] 17 Aug 2008, 04:46
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