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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Patrick_GMATFix
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To find: Each team got atleast one point
Total points to be distributed: 5 + 4 + 3 + 2 + 1 = 15
Statement 1:
Assuming each team got 6 points = 6 + 6 + 3
SUFFICIENT
Statement 2:
Case 1: T1 T2 T1 T2 T1 ==> No T3
Case 2: T1 T2 T3 T1 T2 ==> Yes All teams
INSUFFICIENT
Answer [spoiler]{A}[/spoiler]
Total points to be distributed: 5 + 4 + 3 + 2 + 1 = 15
Statement 1:
Assuming each team got 6 points = 6 + 6 + 3
SUFFICIENT
Statement 2:
Case 1: T1 T2 T1 T2 T1 ==> No T3
Case 2: T1 T2 T3 T1 T2 ==> Yes All teams
INSUFFICIENT
Answer [spoiler]{A}[/spoiler]
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