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In the diagram above, points A, B, C, D, and E represent the

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In the diagram above, points A, B, C, D, and E represent the [#permalink] New post 28 Apr 2012, 20:31
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A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

70% (03:04) correct 30% (01:46) wrong based on 106 sessions
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In the diagram above, points A, B, C, D, and E represent the five teams in a certain league in which each team must play each of the other teams exactly once. The segments connecting pairs of points indicate that the two corresponding teams have already played their game. The arrows on the segments point to the teams that lost; the lack of an arrow on a segment indicates that the game ended in a tie. After all games have been played, which of the following could NOT be the percent of games played that ended in a tie?

A. 10%
B. 20%
C. 30%
D. 40%
E. 50%
[Reveal] Spoiler: OA

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Re: five teams in a certain league in which [#permalink] New post 28 Apr 2012, 20:43
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Out of the 7 matches displayed in the diagram 2 are ties (AC,ED).

Total matches to be played = 5C2 = 10

Remaining matches to be played= 10-7 =3

the maximum ties that can happen = 2+3 =5
minimum ties that can happen =2

So , percentage of minimum ties = (2/10) *100 =20%

Hence ,A is the answer as 10% is not possible.
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Re: In the diagram above, points A, B, C, D, and E represent the [#permalink] New post 17 Sep 2013, 23:13
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Re: In the diagram above, points A, B, C, D, and E represent the [#permalink] New post 18 Sep 2013, 06:04
Doesn't look like a 700+ question
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Re: In the diagram above, points A, B, C, D, and E represent the [#permalink] New post 22 Sep 2013, 05:57
b2bt wrote:
Doesn't look like a 700+ question


Yes, but the key is too just take out the minimum percentage that is possible, which in this case is 20% and be done with it.
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Re: In the diagram above, points A, B, C, D, and E represent the   [#permalink] 22 Sep 2013, 05:57
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