Games and tournaments || Data interpretation || CAT 2021 || 03 June for CAT & MBA Exams

Question 1

Directions: There were 16 teams in a tournament divided into groups of 4. Every team in a group played 2 matches with every other team in the group. For every win they got + 3 points and for every lost match they got – 1 points. After this, one team from every group qualified for semi-finals, from which 2 got selected for finals. There were no draw/tie matches in the tournament. The result of the group stages were as such that no top two teams of a group scored same points.

What could be the minimum number of matches won by the winner of the tournament?

Question 2

Directions: There were 16 teams in a tournament divided into groups of 4. Every team in a group played 2 matches with every other team in the group. For every win they got + 3 points and for every lost match they got – 1 points. After this, one team from every group qualified for semi-finals, from which 2 got selected for finals. There were no draw/tie matches in the tournament. The result of the group stages were as such that no top two teams of a group scored same points.

What could be the minimum number of points a team must have scored to guarantee a place in semi-finals?

Question 3

Directions: There were 16 teams in a tournament divided into groups of 4. Every team in a group played 2 matches with every other team in the group. For every win they got + 3 points and for every lost match they got – 1 points. After this, one team from every group qualified for semi-finals, from which 2 got selected for finals. There were no draw/tie matches in the tournament. The result of the group stages were as such that no top two teams of a group scored same points.

What could be the maximum number of points a team could have scored and still have failed to guarantee a place in semi-finals?

Question 4

Directions: There were 16 teams in a tournament divided into groups of 4. Every team in a group played 2 matches with every other team in the group. For every win they got + 3 points and for every lost match they got – 1 points. After this, one team from every group qualified for semi-finals, from which 2 got selected for finals. There were no draw/tie matches in the tournament. The result of the group stages were as such that no top two teams of a group scored same points.

What will be the total number of matches?

Question 5

Directions: These questions are based on the data given below.
In a recently held test series consisting of three matches-I, II and III, five players- Sehwag, Ganguly, Tendulkar, Dravid and Laxman are the top five scoring batsmen, not necessarily in the same order.
(i) No two players scored the same number of runs in any match
(ii) Sehwag scored more runs than Ganguly in the 1^st and 2^nd matches.
(iii) The player who scored the highest runs in the 3^rd match scored the least runs in the 1^st match.
(iv) Dravid scored more runs than Laxman but less runs than Tendulkar in the 2^nd Match. Tendulkar scored more runs than Laxman in the 1^st match. Laxman scored more runs than Ganguly but less than Dravid in the 3^rd match.
(v) Tendulkar scored the lowest runs in one match and his rank continuously declined from the first match to third match. He was not the top scorer in any of the three matches.

Among the given five players, who scored the least number of runs in the 2nd match?

Question 6

Directions: These questions are based on the data given below.
In a recently held test series consisting of three matches-I, II and III, five players- Sehwag, Ganguly, Tendulkar, Dravid and Laxman are the top five scoring batsmen, not necessarily in the same order.
(i) No two players scored the same number of runs in any match
(ii) Sehwag scored more runs than Ganguly in the 1^st and 2^nd matches.
(iii) The player who scored the highest runs in the 3^rd match scored the least runs in the 1^st match.
(iv) Dravid scored more runs than Laxman but less runs than Tendulkar in the 2^nd Match. Tendulkar scored more runs than Laxman in the 1^st match. Laxman scored more runs than Ganguly but less than Dravid in the 3^rd match.
(v) Tendulkar scored the lowest runs in one match and his rank continuously declined from the first match to third match. He was not the top scorer in any of the three matches.

Who is the second highest scorer in the 1^st match?

Question 7

In a sports event, six teams (A, B, C, D, E and F) are competing against each other. Matches are scheduled in two stages. Each team plays three matches in Stage-1 and two matches in Stage-11. No team plays against the same team more than once in the event. No ties are permitted in any of the matches. The observations after the completion of Stage-I and Stage-II are as given below.
Stage-I
• One team won all the three matches.
• Two teams lost all theMatches.
• D lost to A but won against C and F.
• E lost to B but won against C and F.
• B lost at least one match.
• F did not play against the top team of Stage-I.
Stage-II
• The leader of Stage-l lost the next two matches.
• Of the two teams at the bottom after Stage-1, one team won both matches, while at the other lost both matches.
• One more team lost both matches in Stage-II.

The team(s) with the most wins in the event is (are):

Question 8

In a sports event, six teams (A, B, C, D, E and F) are competing against each other. Matches are scheduled in two stages. Each team plays three matches in Stage-1 and two matches in Stage-11. No team plays against the same team more than once in the event. No ties are permitted in any of the matches. The observations after the completion of Stage-I and Stage-II are as given below.
Stage-I
• One team won all the three matches.
• Two teams lost all theMatches.
• D lost to A but won against C and F.
• E lost to B but won against C and F.
• B lost at least one match.
• F did not play against the top team of Stage-I.
Stage-II
• The leader of Stage-l lost the next two matches.
• Of the two teams at the bottom after Stage-1, one team won both matches, while at the other lost both matches.
• One more team lost both matches in Stage-II.

The two teams that defeated the leader of Stage-I are:

Question 9

In a sports event, six teams (A, B, C, D, E and F) are competing against each other. Matches are scheduled in two stages. Each team plays three matches in Stage-1 and two matches in Stage-11. No team plays against the same team more than once in the event. No ties are permitted in any of the matches. The observations after the completion of Stage-I and Stage-II are as given below.
Stage-I
• One team won all the three matches.
• Two teams lost all theMatches.
• D lost to A but won against C and F.
• E lost to B but won against C and F.
• B lost at least one match.
• F did not play against the top team of Stage-I.
Stage-II
• The leader of Stage-l lost the next two matches.
• Of the two teams at the bottom after Stage-1, one team won both matches, while at the other lost both matches.
• One more team lost both matches in Stage-II.

The only team(s) that won both the matches in Stage-II is (are):

Question 10

In a sports event, six teams (A, B, C, D, E and F) are competing against each other. Matches are scheduled in two stages. Each team plays three matches in Stage-1 and two matches in Stage-11. No team plays against the same team more than once in the event. No ties are permitted in any of the matches. The observations after the completion of Stage-I and Stage-II are as given below.
Stage-I
• One team won all the three matches.
• Two teams lost all theMatches.
• D lost to A but won against C and F.
• E lost to B but won against C and F.
• B lost at least one match.
• F did not play against the top team of Stage-I.
Stage-II
• The leader of Stage-l lost the next two matches.
• Of the two teams at the bottom after Stage-1, one team won both matches, while at the other lost both matches.
• One more team lost both matches in Stage-II.

The teams that won exactly two matches in the event are: