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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...

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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...

by BTGmoderatorLU » Mon May 04, 2020 7:24 am

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Source: GMAT Prep

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.

The OA is A
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Source: — Data Sufficiency |
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Re: The participants in a race consisted of 3 teams with 3 runners on each team. A team was awarded 6 –n...

by deloitte247 » Tue May 05, 2020 1:16 pm

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$$Given\ that\ 1\le n\le5\ and\ point\ =\ 6-n$$
Max point that can be awarded = 5
The minimum point that can be awarded = 1
Total points that can be awarded = 5 + 4 + 3 + 2 + 1 = 15

Statement 1 => No team was awarded more than a total of 6 points.
With the team having the best performance, getting a max point of 6, the least team will have 3 points
i.e team 1 = 6 points; team 2 = 6 points; team 3 = 3 points
Total = 6 + 6 + 3 = 15 points So, each team was awarded more than one point
Statement 1 is SUFFICIENT

Statement 2 => No pair of teammates finished in consecutive places among the top five places.
This means no team gets consecutive points
The total points gotten by each team are unknown since the point of each team is dependent on the performance and position of each runner in the team and position is not given to estimate the points.
Statement 2 is NOT SUFFICIENT

Since statement 1 alone is SUFFICIENT
Answer = A
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