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Difficulty:
65%
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Question Stats:
60% (02:28) correct
40%
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wrong
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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 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.
(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 problem indicates that 5 points were awarded for first place, 4 points for second place, 3 points for third place, 2 points for fourth place, and 1 point for fifth place, for a total of 15 points. Statement (1) indicates that no team was awarded more than 6 points. Suppose that two teams got the maximum of 6 points each, accounting for a total of 12 of the 15 points. Clearly, the third team would have gotten the other 3 points. Therefore, the answer must be A or D. Statement (2) is not conclusive. If no pair of teammates finished in consecutive order, then no team was awarded consecutive numbers of points. From this information alone, one team could have received (5 + 3 + 1) points and a second team (2 + 4) points, leaving no points for the third team; alternatively, one team could have received (5 + 2) points, a second team (3 + 1) points, leaving 4 points for the third team, etc. The best answer is A.
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14 Jul 2009, 15:03
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Ans will be A
STmt 1: points to be awarded are 1,2,3,4,5, ie, total of 15 points. This stmt says that no team won more than 6, So 2 teams can get max of 6 points, and still we will have 3 points left which must have gone to third team. Sufficient.
Stmt 2: No two teammates finished in consecutive places, ie, no two team members got consecutive points.
It can be that Team A got 1,3, and 5 points, and B got 2 and 4 points and C got nothing.
It can also be that A, B and C got 1,2 and 3 points respectively. So stmt 2 is insufficient.
STmt 1: points to be awarded are 1,2,3,4,5, ie, total of 15 points. This stmt says that no team won more than 6, So 2 teams can get max of 6 points, and still we will have 3 points left which must have gone to third team. Sufficient.
Stmt 2: No two teammates finished in consecutive places, ie, no two team members got consecutive points.
It can be that Team A got 1,3, and 5 points, and B got 2 and 4 points and C got nothing.
It can also be that A, B and C got 1,2 and 3 points respectively. So stmt 2 is insufficient.
General Discussion
15 Jul 2009, 07:45
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There is a risk of carrying over information given in option 1 while solving option 2. like i did, and concluded that B is sufficient !
here is how I did it.
1-2-3-4-5
if you take A while solving B, you think oh 1-3 * 2-4 * so 5th can be taken by thrid team. but there is no restriction if you take B alone, so it could be 1-3-5 and 2-4
I have to be careful
here is how I did it.
1-2-3-4-5
if you take A while solving B, you think oh 1-3 * 2-4 * so 5th can be taken by thrid team. but there is no restriction if you take B alone, so it could be 1-3-5 and 2-4
I have to be careful
