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Two teams, X and Y played against each other in a tournament

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Senior Manager
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Two teams, X and Y played against each other in a tournament [#permalink] New post 18 Feb 2012, 00:54
00:00
A
B
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D
E

Difficulty:

  5% (low)

Question Stats:

83% (02:39) correct 17% (00:47) wrong based on 6 sessions
Two teams, X and Y, played against each other in a tournament for the championship. In the tournament the team that scored the greater number of points in a game won that game. If the first team to win 4 games became the champion, did Team X become the champion?

1) In the tournament, Team X scored more than twice as many points as Team Y.

2) The championship was decided after five games.
[Reveal] Spoiler: OA
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Re: PT #2 DS 10 [#permalink] New post 18 Feb 2012, 01:40
Ok. Let's approach this from, for the lack of a better word, a non-algebraic approach.

Two teams, X and Y, played against each other in a tournament for the championship. In the tournament the team that scored the greater number of points in a game won that game. If the first team to win 4 games became the champion, did Team X become the champion?

Statement A: In the tournament, Team X scored more than twice as many points as Team Y.

We don't know how the scores are "Spread" for the game. For example, if there were 5 games (and i choose this number because it is already provided in Statement B, since I want to kill two birds in one go, you could choose any number), Team X could have won just one and scored 20 points in that game(and Y scoring 0). Team Y could have won the other 4 games, scoring 2 points each in those games (and Team X could have scored 0 in those 4 games each) for a total tally of 8 points. Tally of Team X would be 20. So the statement is satisfied but this could be the other way around as well. So we cannot decide if Team X won the championship or not.

Hence Insufficient

Statement 2: The championship was decided after five games. Clearly Insufficient.

We already took 5 and saw how we still can't decide so even together both the statements are Insufficient.

Hence E
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Re: PT #2 DS 10   [#permalink] 18 Feb 2012, 01:40
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Two teams, X and Y played against each other in a tournament

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