Test: Games and Tournaments (May 3) - CAT MCQ

Direction: 8 terms namely A, B, C, D, E, F, G and H participated in a tournament whose 1^st stage is a round robin stage where each team play with other team exactly once. Following further information is known to us:
(i) A won against B, C and E.
(ii). Number of matches won by A, B and D is 3 each no other team won 3 matches.
(iii) C won against B and D but lost to E.
(iv) H won all the matches.
(v) G won against B but lost to E.
(vi) D lost to F and C won only 2 matches.
Now answer the following question:

Q. E won against which all teams?

Direction: 8 terms namely A, B, C, D, E, F, G and H participated in a tournament whose 1^st stage is a round robin stage where each team play with other team exactly once. Following further information is known to us:
(i) A won against B, C and E.
(ii). Number of matches won by A, B and D is 3 each no other team won 3 matches.
(iii) C won against B and D but lost to E.
(iv) H won all the matches.
(v) G won against B but lost to E.
(vi) D lost to F and C won only 2 matches.
Now answer the following question:

Q. Which team won minimum number of matches?

Direction: In a knockout tournament 64 players participated. These 64 players are seeded from 1 to 64 with seed 1 being the top seed and seed 64 being the bottom seed. The tournament is conducted in different stages.
In stage 1 seed 1 played with seed 64 and that match is named as match 1 of stage 1, seed 2 played with seed 63 and that match is named as match 2 of stage 1, and so on.
In stage 2, winner of match 1 and match 32 of stage 1 played against each other and that match is named as Match 1 of stage 2, then winner of match 2 and match 31 of stage 1 played against each other and that match is named as Match 2 of stage 2. And so, on
The same procedure is followed in further stages. Now answer the following question.

Q. What is the total number of matches in the tournament?

Direction: In a knockout tournament 64 players participated. These 64 players are seeded from 1 to 64 with seed 1 being the top seed and seed 64 being the bottom seed. The tournament is conducted in different stages.
In stage 1 seed 1 played with seed 64 and that match is named as match 1 of stage 1, seed 2 played with seed 63 and that match is named as match 2 of stage 1, and so on.
In stage 2, winner of match 1 and match 32 of stage 1 played against each other and that match is named as Match 1 of stage 2, then winner of match 2 and match 31 of stage 1 played against each other and that match is named as Match 2 of stage 2. And so, on
The same procedure is followed in further stages. Now answer the following question.

Q. How many stages are in the tournament?

Direction: In a knockout tournament 64 players participated. These 64 players are seeded from 1 to 64 with seed 1 being the top seed and seed 64 being the bottom seed. The tournament is conducted in different stages.
In stage 1 seed 1 played with seed 64 and that match is named as match 1 of stage 1, seed 2 played with seed 63 and that match is named as match 2 of stage 1, and so on.
In stage 2, winner of match 1 and match 32 of stage 1 played against each other and that match is named as Match 1 of stage 2, then winner of match 2 and match 31 of stage 1 played against each other and that match is named as Match 2 of stage 2. And so, on
The same procedure is followed in further stages. Now answer the following question.

Q. If seed 9 reached final then which one of the following could play with him in final?

Direction: In a knockout tournament 64 players participated. These 64 players are seeded from 1 to 64 with seed 1 being the top seed and seed 64 being the bottom seed. The tournament is conducted in different stages.
In stage 1 seed 1 played with seed 64 and that match is named as match 1 of stage 1, seed 2 played with seed 63 and that match is named as match 2 of stage 1, and so on.
In stage 2, winner of match 1 and match 32 of stage 1 played against each other and that match is named as Match 1 of stage 2, then winner of match 2 and match 31 of stage 1 played against each other and that match is named as Match 2 of stage 2. And so, on
The same procedure is followed in further stages. Now answer the following question.

Q. Which lowest seeded player can win the tournament without causing an upset by him?

Direction: 16 teams have been invited to participate in the ABC Gold Cup cricket tournament. The tournament is conducted in 2 stages. In the first stage, the teams are divided into two groups. Each group consists of 8 teams, with each team playing every other team in its group exactly once. At the end of the first stage, the top 4 teams from each group advance to the 2nd stage while the rest are eliminated. The second stage comprises of several rounds. A round involves one match for each team. The winner of a match in a round advances to the next round, while the loser is eliminated. The team that remains undefeated in the second stage is declared the winner and claims the Gold Cup. The tournament rules are such that each match results in a winner and a loser with no possibility of a tie. In the first stage a team earns 1 point for each win and no points for a loss. At the end of the first stage teams in each group are ranked on the basis of total points to determine the qualifiers advancing to the next stage. Ties are resolved by a series of complex tie-breaking rules so that exactly 4 teams from each group advance to the next stage.

Q. What is the total number of matches played in the tournament?