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PS - Team Score

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Senior Manager
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Joined: 08 Nov 2008
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PS - Team Score [#permalink]

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New post 22 Mar 2009, 08:43
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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
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Location: Mumbai
Re: PS - Team Score [#permalink]

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New post 22 Mar 2009, 08:58
The answer is D - 3
Since none of the teams scored more than 6 points - one of the teams is bound to have a person in 3rd position, without occupying the 1st or 2nd spot. Also, if one of the teams has the 1st spot, they either have the 5th spot or lower. And the next team has the 2nd spot, then they have the 4th or 5th or lower - which leaves the 3rd spot, minimum for one of the teams.

What is the OA? And any other explanation would also be helpful.

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Re: PS - Team Score   [#permalink] 22 Mar 2009, 08:58
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PS - Team Score

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