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

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boomtangboy
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In the diagram above, points A, B, C, D, and E represent the [#permalink] New post   28 Apr 2012, 21:31
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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%

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Re: In the diagram above, points A, B, C, D, and E represent the [#permalink] New post   28 Apr 2012, 21:43
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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   18 Sep 2013, 07:04
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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, 06:57
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] New post   15 Sep 2017, 12:30
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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.

Hence, answer is A.
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In the diagram above, points A, B, C, D, and E represent the [#permalink] New post   30 Apr 2018, 01:59
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boomtangboy wrote:


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%


Total games possible between teams = 5C2 = 10
Total games played = 7
Total games already ended up in tie = 2
Total games left to be played = 3

So, Maximum games that can end in tie = 5
Minimum games that can end in tie = 2

So,Maxm percentage of game that can end in a tie = 50%
Minm percentage of game that can end in a tie = 20%

Hence option A is the answer.
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Re: In the diagram above, points A, B, C, D, and E represent the [#permalink] New post   12 Oct 2020, 06:36
The diagram can appear a little intimidating at first but it's simply telling us that 7 games have been played (2 of which ended in a draw)

5C2: 10 games

7 games have ALREADY been played. This means we have 3 games left to be played.

The 3 games may or may not end in a draw. We already know 2 games ended in a draw. So at a minimum after 10 games, 2 will end in a draw. At a maximum after 10 games, 5 will end in a draw.

Answer: 10% (1 out of 10 games in a draw) is not possible as we already know for a fact that 2 games ended in a draw.
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Re: In the diagram above, points A, B, C, D, and E represent the [#permalink] New post   23 Sep 2023, 06:21
Hi KarishmaB,

Can you please share your approach to this question?

Thanks in advance. :)
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Re: In the diagram above, points A, B, C, D, and E represent the [#permalink] New post   24 Sep 2023, 22:46
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boomtangboy wrote:


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%

Show Spoiler
Attachment:
TEam.jpg


5 teams - each has to play all the others once

Hence total number of games played will be 5C2 = 10

We have data on 7 games - 2 of those were a tie. We don't know about the other 3 games.
Then, of the 10 games, minimum 2 and maximum 5 could have been a tie.

Hence, the percentage of tie games would be from 20% to 50%.

Answer (A)
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Re: In the diagram above, points A, B, C, D, and E represent the [#permalink]
24 Sep 2023, 22:46
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