Comprehension
The game of QUIET is played between two teams. Six teams, numbered 1, 2, 3, 4, 5, and 6, play in a QUIET tournament. These teams are divided equally into two groups. In the tournament, each team plays every other team in the same group only once, and each team in the other group exactly twice. The tournament has several rounds, each of which consists of a few games. Every team plays exactly one game in each round.
The following additional facts are known about the schedule of games in the tournament.
1. Each team played against a team from the other group in Round 8.
2. In Round 4 and Round 7, the match-ups, that is the pair of teams playing against each other, were identical. In Round 5 and Round 8, the match ups were identical.
3. Team 4 played Team 6 in both Round 1 and Round 2.
4. Team 1 played Team 5 ONLY once and that was in Round 2.
5. Team 3 played Team 4 in Round 3. Team 1 played Team 6 in Round 6.
6. In Round 8, Team 3 played Team 6, while Team 2 played Team 5.
The following additional facts are known about the schedule of games in the tournament.
1. Each team played against a team from the other group in Round 8.
2. In Round 4 and Round 7, the match-ups, that is the pair of teams playing against each other, were identical. In Round 5 and Round 8, the match ups were identical.
3. Team 4 played Team 6 in both Round 1 and Round 2.
4. Team 1 played Team 5 ONLY once and that was in Round 2.
5. Team 3 played Team 4 in Round 3. Team 1 played Team 6 in Round 6.
6. In Round 8, Team 3 played Team 6, while Team 2 played Team 5.
Question: 1
How many rounds were there in the tournament?
How many rounds were there in the tournament?
Updated On: Nov 29, 2024
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Correct Answer: 8
Solution and Explanation
The tournament consists of several rounds where each team plays exactly one game in each round. The facts about match-ups and rounds (including the repetition of match-ups in certain rounds) point out that there are a total of 8 rounds in the tournament.
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Question: 2
What is the number of the team that played Team 1 in Round 5?
What is the number of the team that played Team 1 in Round 5?
Updated On: Nov 29, 2024
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Correct Answer: 4
Solution and Explanation
From the provided facts, Team 1 played Team 4 in Round 5. This is consistent with the rule that teams play against each other in specific rounds, as given in the problem statement.
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Question: 3
Which team among the teams numbered 2, 3, 4, and 5 was not part of the same group?
Which team among the teams numbered 2, 3, 4, and 5 was not part of the same group?
Updated On: Nov 29, 2024
- 2
- 4
- 5
- 3
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The Correct Option is C
Solution and Explanation
From the facts provided, we know that Team 3 is the only team that is not part of the same group as the others. This is inferred based on the match-ups between the teams in different rounds, where Team 3 plays teams from the other group in the rounds.
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Question: 4
What is the number of the team that played Team 1 in Round 7?
What is the number of the team that played Team 1 in Round 7?
Updated On: Nov 29, 2024
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Correct Answer: 3
Solution and Explanation
According to the given facts, Team 1 played Team 3 in Round 7. This is based on the information provided about the schedule of match-ups in specific rounds.
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Question: 5
What is the number of the team that played Team 6 in Round 3?
What is the number of the team that played Team 6 in Round 3?
Updated On: Nov 29, 2024
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Correct Answer: 5
Solution and Explanation
From the facts provided, we know that Team 6 played against Team 5 in Round 3. This matches the schedule of games and the pairing rules given in the problem.
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