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points A, B, C, D, and E

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Director
Joined: 25 Oct 2008
Posts: 574
Location: Kolkata,India
points A, B, C, D, and E [#permalink]

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21 Jun 2009, 03:41
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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
Joined: 08 Jan 2009
Posts: 317
Re: points A, B, C, D, and E [#permalink]

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21 Jun 2009, 09:57
1
KUDOS
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) .
Intern
Joined: 04 Mar 2008
Posts: 42
Re: points A, B, C, D, and E [#permalink]

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22 Jun 2009, 16:32
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.

--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.
Re: points A, B, C, D, and E   [#permalink] 22 Jun 2009, 16:32
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