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word problem

by sanjib » Sat Jul 11, 2009 11:33 am
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.

Need detail explanation please.
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Source: — Data Sufficiency |
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by Naruto » Sun Jul 12, 2009 1:26 am
IMO D

Statement 1 alone is sufficient as among 9 runners if we work out possibilities with the condition that no team received more than 6 points its obvious that atleast one member of each team had to be in the first 5 positions, thus ensuring a point.

Statement 2 alone is sufficient too because if no pair of runners in the same team were in consecutive position, again one of the members of each team had to be in first 5 positions.

What is OA?
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IMO

by kc_raj » Sun Jul 12, 2009 7:03 am
IMO A,

A because there are 1-2-3-4-5 points to be given to 5 teammates from total of 9, no team can get more than 6 so if you want to cram max points to each team you can have 1+5 for one team, 2+4 to second team, and 3 for third team, so suff,

B you can have 1-3-5 for one team, and 2-4 for other team or 2 for 2nd team, 4 for third team so not suff,
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Re: IMO

by Naruto » Sun Jul 12, 2009 7:59 am
kc_raj wrote:IMO A,

A because there are 1-2-3-4-5 points to be given to 5 teammates from total of 9, no team can get more than 6 so if you want to cram max points to each team you can have 1+5 for one team, 2+4 to second team, and 3 for third team, so suff,

B you can have 1-3-5 for one team, and 2-4 for other team or 2 for 2nd team, 4 for third team so not suff,
well if 2-4 from the other team, u can't have 6,7,9 or 6,8,9 from the other team as it makes a consecutive pair right?
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by adityanarula » Sun Jul 12, 2009 9:25 am
The condition for consecutive is only for the first 3 places. So, A is the answer
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by v » Sun Jul 12, 2009 10:07 am
adityanarula wrote:The condition for consecutive is only for the first 3 places. So, A is the answer
This can be ans by one itself, while stmt 2 is not sufficient.
and correct ans is "A".
Exp: points are 5,4,3,2,1
no ties, max=6 from stmt 1
So total points have to distribute 15.
one team is 6 another is 5. left 4 that goes to third.
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