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

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Senior Manager
Status: May The Force Be With Me (D-DAY 15 May 2012)
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In the diagram above, points A, B, C, D, and E represent the [#permalink]

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28 Apr 2012, 20:31
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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]

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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]

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17 Sep 2013, 23:13
Hello from the GMAT Club BumpBot!

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Re: In the diagram above, points A, B, C, D, and E represent the [#permalink]

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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]

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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]

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07 Oct 2015, 06:57
Hello from the GMAT Club BumpBot!

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Re: In the diagram above, points A, B, C, D, and E represent the [#permalink]

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15 Sep 2017, 07:52
Hello from the GMAT Club BumpBot!

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Re: In the diagram above, points A, B, C, D, and E represent the [#permalink]

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15 Sep 2017, 11:30
Total number of matches = 5C2= 10
From the figure, we can see that the minimum number of ties are 2.
So, option A (1/10*100= 10%) is ruled out for sure.

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Re: In the diagram above, points A, B, C, D, and E represent the   [#permalink] 15 Sep 2017, 11:30
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