XAT Games and Tournamnents questions

XAT 2018 Games and Tournamnents questions

Instruction for set 1:

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)

Question 1

Which of the following matches are yet to be played?

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Instruction for set 1:

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)

Question 2

Which of the following score line is a possible outcome in the tournament?

Show Answer Explanation

Instruction for set 1:

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)

Question 3

Which of the following score line is not a possible outcome in the tournament?

Show Answer Explanation

XAT 2013 Games and Tournamnents questions

Instruction for set 1:

Answer questions based on the following information:


Data on an ongoing football league of a country is given below. 20 teams are playing in the league. The rules of the league are as follows:

1. Each team plays all the other teams twice, once in its home ground, and once in the opponent's home ground. These matches are known as the "Home" match and the "Away" match respectively.
2. A win results in 3 points, a draw in 1 point, and a loss in 0 point for the team.
3. The number of goals a team scores is termed as "Goals For" and the number of goals it concedes is termed as "Goals Against". We get the "Goal Difference" by subtracting "Goals Against" from "Goals For".

The ranking of the teams is decided on the total points. If two teams are tied on their total points, the team which has a higher Goal Difference gets the higher rank. If the tie cannot be resolved on Goal Difference, Goals For is checked followed by Goals Against. If the tie persists, the teams are ranked in the ascending order of their names.

Table 1 provides data on the current top 13 teams based on the overall situation, i.e., by taking into account both home matches and away matches of each team.
Table 2 provides data on the current top 13 teams based on home matches only.

Chart 1 provides a plot of the goal difference of each of the 13 teams based on the overall situation.

   

Question 1

Considering away matches only, which of the following teams is the second ranking team?

Show Answer Explanation

Instruction for set 1:

Answer questions based on the following information:


Data on an ongoing football league of a country is given below. 20 teams are playing in the league. The rules of the league are as follows:

1. Each team plays all the other teams twice, once in its home ground, and once in the opponent's home ground. These matches are known as the "Home" match and the "Away" match respectively.
2. A win results in 3 points, a draw in 1 point, and a loss in 0 point for the team.
3. The number of goals a team scores is termed as "Goals For" and the number of goals it concedes is termed as "Goals Against". We get the "Goal Difference" by subtracting "Goals Against" from "Goals For".

The ranking of the teams is decided on the total points. If two teams are tied on their total points, the team which has a higher Goal Difference gets the higher rank. If the tie cannot be resolved on Goal Difference, Goals For is checked followed by Goals Against. If the tie persists, the teams are ranked in the ascending order of their names.

Table 1 provides data on the current top 13 teams based on the overall situation, i.e., by taking into account both home matches and away matches of each team.
Table 2 provides data on the current top 13 teams based on home matches only.

Chart 1 provides a plot of the goal difference of each of the 13 teams based on the overall situation.

   

Question 2

Considering away matches only, the least number of teams with either 0 or 1 point is:

Show Answer Explanation

Instruction for set 1:

Answer questions based on the following information:


Data on an ongoing football league of a country is given below. 20 teams are playing in the league. The rules of the league are as follows:

1. Each team plays all the other teams twice, once in its home ground, and once in the opponent's home ground. These matches are known as the "Home" match and the "Away" match respectively.
2. A win results in 3 points, a draw in 1 point, and a loss in 0 point for the team.
3. The number of goals a team scores is termed as "Goals For" and the number of goals it concedes is termed as "Goals Against". We get the "Goal Difference" by subtracting "Goals Against" from "Goals For".

The ranking of the teams is decided on the total points. If two teams are tied on their total points, the team which has a higher Goal Difference gets the higher rank. If the tie cannot be resolved on Goal Difference, Goals For is checked followed by Goals Against. If the tie persists, the teams are ranked in the ascending order of their names.

Table 1 provides data on the current top 13 teams based on the overall situation, i.e., by taking into account both home matches and away matches of each team.
Table 2 provides data on the current top 13 teams based on home matches only.

Chart 1 provides a plot of the goal difference of each of the 13 teams based on the overall situation.

   

Question 3

Let us define a term pos as the difference between "home rank" and "away rank". Which of the following has the maximum value of pos?

Show Answer Explanation

Instruction for set 1:

Answer questions based on the following information:


Data on an ongoing football league of a country is given below. 20 teams are playing in the league. The rules of the league are as follows:

1. Each team plays all the other teams twice, once in its home ground, and once in the opponent's home ground. These matches are known as the "Home" match and the "Away" match respectively.
2. A win results in 3 points, a draw in 1 point, and a loss in 0 point for the team.
3. The number of goals a team scores is termed as "Goals For" and the number of goals it concedes is termed as "Goals Against". We get the "Goal Difference" by subtracting "Goals Against" from "Goals For".

The ranking of the teams is decided on the total points. If two teams are tied on their total points, the team which has a higher Goal Difference gets the higher rank. If the tie cannot be resolved on Goal Difference, Goals For is checked followed by Goals Against. If the tie persists, the teams are ranked in the ascending order of their names.

Table 1 provides data on the current top 13 teams based on the overall situation, i.e., by taking into account both home matches and away matches of each team.
Table 2 provides data on the current top 13 teams based on home matches only.

Chart 1 provides a plot of the goal difference of each of the 13 teams based on the overall situation.

   

Question 4

How many unique values of goal difference are there for away matches?

Show Answer Explanation
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