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Six teams are playing in a hockey tournament where each team is playing against every other team exactly once. At an intermediate stage, the status is as follows:
Notes:
• The team that scores more goals than it concedes wins the match, while if both the teams score the same no. of goals, the match is declared drawn.
• Ina match played between Team X and Team Y, if team X scores 1 and concedes none. then the score line would read: Team X — Team Y (1-0)
Which of the following matches are yet to be played?
Team A has won both its matches and scored 5 goals while conceding 1. Thus, the possible scorelines for team A are (4-1) & (1-0), (3-1) & (2-0), (2-1) & (3-0).
Similarly, the possible outcomes for others teams are as follows:
B: (5-1) & (0-0) and (4-0) & (1-1)
C: (2-0) & (0-0) and (1-0) & (1-1)
D: (0-0) & (1-1)
E: (0-2) & (1-2) and (0-1) & (1-3)
F: (0-1) & (0-6), (0-2) & (0-5) and so on.
By carefully observing the above scorelines, the following table can be obtained.
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Thus, the matches Team A - Team B and Team E - Team F are yet to take place.
Hence, option E is the answer.
Six teams are playing in a hockey tournament where each team is playing against every other team exactly once. At an intermediate stage, the status is as follows:
Notes:
• The team that scores more goals than it concedes wins the match, while if both the teams score the same no. of goals, the match is declared drawn.
• Ina match played between Team X and Team Y, if team X scores 1 and concedes none. then the score line would read: Team X — Team Y (1-0)
Which of the following score line is a possible outcome in the tournament?
Team A has won both its matches and scored 5 goals while conceding 1. Thus, the possible scorelines for team A are (4-1) & (1-0), (3-1) & (2-0), (2-1) & (3-0).
Similarly, the possible outcomes for others teams are as follows:
B: (5-1) & (0-0) and (4-0) & (1-1)
C: (2-0) & (0-0) and (1-0) & (1-1)
D: (0-0) & (1-1)
E: (0-2) & (1-2) and (0-1) & (1-3)
F: (0-1) & (0-6), (0-2) & (0-5) and so on.
By carefully observing the above scorelines, the following table can be obtained.
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The above table shows that Team A - Team E match has the score-line (2 - 1).
Hence, option B is the answer.
Six teams are playing in a hockey tournament where each team is playing against every other team exactly once. At an intermediate stage, the status is as follows:
Notes:
• The team that scores more goals than it concedes wins the match, while if both the teams score the same no. of goals, the match is declared drawn.
• Ina match played between Team X and Team Y, if team X scores 1 and concedes none. then the score line would read: Team X — Team Y (1-0)
Which of the following score line is not a possible outcome in the tournament?
Team A has won both its matches and scored 5 goals while conceding 1. Thus, the possible scorelines for team A are (4-1) & (1-0), (3-1) & (2-0), (2-1) & (3-0).
Similarly, the possible outcomes for others teams are as follows:
B: (5-1) & (0-0) and (4-0) & (1-1)
C: (2-0) & (0-0) and (1-0) & (1-1)
D: (0-0) & (1-1)
E: (0-2) & (1-2) and (0-1) & (1-3)
F: (0-1) & (0-6), (0-2) & (0-5) and so on.
By carefully observing the above scorelines, the following table can be obtained.
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From the above table, we can see that options B, C and D are possible and option A is not.
Hence, option A is the answer.
Yes, Games and Tournaments is a notable Logical Reasoning topic in XAT. It tests a candidate's understanding of tournament structures, match outcomes, and the ability to draw logical conclusions from given results.
XAT Games and Tournaments questions may involve round-robin tournaments, knockout tournaments, league formats, or combinations. Questions test concepts such as total matches played, wins and losses, points tables, and identifying tournament winners or runner-ups from partial information.
Candidates should understand the structure of common tournament formats and practise constructing points tables or match grids. Focus on how wins, losses, and draws affect standings, and learn to draw conclusions from incomplete data by applying process of elimination.
Games and Tournaments questions in XAT range from moderate to difficult. Sets involving incomplete data or multiple rounds require careful logical deduction and can be time-consuming without prior practice.
Cracku's XAT Games and Tournaments questions include a variety of tournament formats and difficulty levels consistent with the XAT exam. The detailed solutions show how to construct results tables and apply logical deductions step by step, helping candidates build both speed and accuracy.
Educational materials for CAT preparation
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