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18 Feb 2012, 01:54
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
66% (01:39) correct
34%
(01:50)
wrong
based on 642
sessions
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Not Attempted Yet
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.
1) In the tournament, Team X scored more than twice as many points as Team Y.
2) The championship was decided after five games.
18 Feb 2012, 02:40
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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
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
27 Feb 2018, 07:33
Kudos
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1) In the tournament, Team X scored more than twice as many points as Team Y.
If Team X scored 40 points compared to Team Y's 20 points, we can't
be sure which team wins the tournament.
Imagine these scenarios
Team X wins 4-1
Game 1: 6-5 | Game 2: 7-8 | Game 3: 12-3 | Game 4: 10-1 | Game 5: 5-3
Team Y wins 4-1
Game 1: 5-6 | Game 2: 7-8 | Game 3: 0-4 | Game 4: 28-1 | Game 5: 0-1 (Insufficient)
2) The championship was decided after five games.
Again both the scenarios are possible
Team X wins 4-1
Game 1: 6-5 | Game 2: 7-8 | Game 3: 12-3 | Game 4: 10-1 | Game 5: 5-3
Team Y wins 4-1
Game 1: 5-6 | Game 2: 7-8 | Game 3: 0-4 | Game 4: 28-1 | Game 5: 0-1 (Insufficient)
Combining the information given in the statements don't give us any new information. (Insufficient - Option E)
If Team X scored 40 points compared to Team Y's 20 points, we can't
be sure which team wins the tournament.
Imagine these scenarios
Team X wins 4-1
Game 1: 6-5 | Game 2: 7-8 | Game 3: 12-3 | Game 4: 10-1 | Game 5: 5-3
Team Y wins 4-1
Game 1: 5-6 | Game 2: 7-8 | Game 3: 0-4 | Game 4: 28-1 | Game 5: 0-1 (Insufficient)
2) The championship was decided after five games.
Again both the scenarios are possible
Team X wins 4-1
Game 1: 6-5 | Game 2: 7-8 | Game 3: 12-3 | Game 4: 10-1 | Game 5: 5-3
Team Y wins 4-1
Game 1: 5-6 | Game 2: 7-8 | Game 3: 0-4 | Game 4: 28-1 | Game 5: 0-1 (Insufficient)
Combining the information given in the statements don't give us any new information. (Insufficient - Option E)
