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Two teams, \(X\) and \(Y\), played against each other in a

by AAPL » Mon Sep 16, 2019 4:10 am

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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.

OA E
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Source: — Data Sufficiency |

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by Brent@GMATPrepNow » Mon Sep 16, 2019 5:25 am

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AAPL wrote:GMAT Paper Tests

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.

OA E
Given: In the tournament the team that scored the greater number of points in a game won that game. The first team to win 4 games became the champion

Target question: Did team X become the champion?

When I SCAN the two statements, they both feel insufficient, AND I'm pretty sure I can identify some cases with conflicting answers to the target question. So, I'm going to head straight to......

Statements 1 and 2 combined
There are several values of scenarios that satisfy BOTH statements. Here are two:
Case a: Team X wins first game 100-0, and then team Y wins each of the next 4 games (1-0). So, Team X's total points = 100, and Team Y's total points = 4. This meets both Statements 1 and 2. In this case, the answer to the target question is Team X did NOT win the championship
Case b: Team Y wins first game 1-0, and then team X wins each of the next 4 games (1-0). So, Team X's total points = 4, and Team Y's total points = 1. This meets both Statements 1 and 2. In this case, the answer to the target question is Team X DID win the championship
Since we cannot answer the target question with certainty, the combined statements are NOT SUFFICIENT

Answer: E

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Brent
Brent Hanneson - Creator of GMATPrepNow.com
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