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points A, B, C, D, and E

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Director
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Joined: 25 Oct 2008
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Location: Kolkata,India
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Kudos [?]: 195 [0], given: 100

points A, B, C, D, and E [#permalink] New post 21 Jun 2009, 02:41
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A
B
C
D
E

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100% (00:00) correct 0% (00:00) wrong based on 1 sessions
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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Senior Manager
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Re: points A, B, C, D, and E [#permalink] New post 21 Jun 2009, 08:57
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Since there are 5 teams the total number of game than can be palyed = 5C2 = 10.

From the chart we see
A plays 4 games,
B plays 1 games
C plays 1 games
D plays 1 games

So a total of 7 Games have been played.

Out of the 7 = 5 with results and 2 draw

So the remaining 3 games if all the game end with result then
the percentage of draw games = 2/10 = 20%

So the remaining 3 games if all the game end with draw then
the percentage of draw games = 5/10 = 50%

So it percentage of draw games can be anything 20% <= D <= 50%

So (A) .
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Re: points A, B, C, D, and E [#permalink] New post 22 Jun 2009, 15:32
tkarthi4u wrote:
Since there are 5 teams the total number of game than can be palyed = 5C2 = 10.

From the chart we see
A plays 4 games,
B plays 1 games
C plays 1 games
D plays 1 games

So a total of 7 Games have been played.

Out of the 7 = 5 with results and 2 draw

So the remaining 3 games if all the game end with result then
the percentage of draw games = 2/10 = 20%

So the remaining 3 games if all the game end with draw then
the percentage of draw games = 5/10 = 50%

So it percentage of draw games can be anything 20% <= D <= 50%

So (A) .


great explanation.
Re: points A, B, C, D, and E   [#permalink] 22 Jun 2009, 15:32
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