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b2bt
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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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 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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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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Hi KarishmaB,

Can you please share your approach to this question?

Thanks in advance. :)
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boomtangboy


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%

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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Total games 4+3+2+1 = 10
2 already tied. So, 2/10 =0.2 = 20%
It can increase in future, but not decrease. So ans is A.
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