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Tournaments - Past Year Questions

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Q1:

Eight teams take part in a tournament where each team plays against every other team exactly once. In a particular year, one team got suspended after playing 3 matches, due to a disciplinary issue. The organizers decide to proceed, nonetheless, with the remaining matches. The total number of matches that were played in the tournament that year is
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Q2:

In a chess tournament there are 5 contestants. Each player plays against all the others exactly once. No game results in a draw. The winner in a game gets one point and the loser gets zero points. Which of the following sequences cannot represent the scores of the five players?
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Q3:

In a football tournament six teams A, B, C, D, E, and F participated. Every pair of teams had exactly one match among them. For any team, a win fetches 2 points, a draw fetches 1 point, and a loss fetches no points. Both teams E and F ended with less than 5 points. At the end of the tournament points table is as follows (some of the entries are not shown):
Teams Played
 Wins
 Losses
 Draws
 Points
A
 5
 0
 8
B
 5
 2
 6
C
 5
 2
 5
D
 5
 1
 5
E
 5
 1
F
 5
It is known that: (1) team B defeated team C, and (2) team C defeated team D
Team E was defeated by
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Q4:

In a football tournament six teams A, B, C, D, E, and F participated. Every pair of teams had exactly one match among them. For any team, a win fetches 2 points, a draw fetches 1 point, and a loss fetches no points. Both teams E and F ended with less than 5 points. At the end of the tournament points table is as follows (some of the entries are not shown):
Teams Played
 Wins
 Losses
 Draws
 Points
A
 5
 0
 8
B
 5
 2
 6
C
 5
 2
 5
D
 5
 1
 5
E
 5
 1
F
 5
It is known that: (1) team B defeated team C, and (2) team C defeated team D
Total points Team F scored was
Answer options
Explanation →

Q5:

In a football tournament six teams A, B, C, D, E, and F participated. Every pair of teams had exactly one match among them. For any team, a win fetches 2 points, a draw fetches 1 point, and a loss fetches no points. Both teams E and F ended with less than 5 points. At the end of the tournament points table is as follows (some of the entries are not shown):
Teams Played
 Wins
 Losses
 Draws
 Points
A
 5
 0
 8
B
 5
 2
 6
C
 5
 2
 5
D
 5
 1
 5
E
 5
 1
F
 5
It is known that: (1) team B defeated team C, and (2) team C defeated team D
Total number of matches ending in draw is
Answer options
Explanation →

Q6:

In a football tournament six teams A, B, C, D, E, and F participated. Every pair of teams had exactly one match among them. For any team, a win fetches 2 points, a draw fetches 1 point, and a loss fetches no points. Both teams E and F ended with less than 5 points. At the end of the tournament points table is as follows (some of the entries are not shown):
Teams Played
 Wins
 Losses
 Draws
 Points
A
 5
 0
 8
B
 5
 2
 6
C
 5
 2
 5
D
 5
 1
 5
E
 5
 1
F
 5
It is known that: (1) team B defeated team C, and (2) team C defeated team D
Which team has the highest number of draws
Answer options
Explanation →

Q7:

In a football tournament six teams A, B, C, D, E, and F participated. Every pair of teams had exactly one match among them. For any team, a win fetches 2 points, a draw fetches 1 point, and a loss fetches no points. Both teams E and F ended with less than 5 points. At the end of the tournament points table is as follows (some of the entries are not shown):
Teams Played
 Wins
 Losses
 Draws
 Points
A
 5
 0
 8
B
 5
 2
 6
C
 5
 2
 5
D
 5
 1
 5
E
 5
 1
F
 5
It is known that: (1) team B defeated team C, and (2) team C defeated team D
Which team was not defeated by team A
Answer options
Explanation →

Tournaments - Past Year Questions (Free PDF Download)

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