Answer the questions on the basis of the information given below.
Sixteen teams have been invited to participate in the ABC Gold Cup cricket tournament. The tournament is conducted in two stages. In the first stage, the teams are divided into two groups. Each group consists of eight teams, with each team playing every other team in its group exactly once. At the end of the first stage, the top four teams from each group advance to the second 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 one 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 four teams from each group advance to the next stage.
The minimum number of wins needed for a team in the first stage to guarantee its advancement to the next stage is-
Answer the questions on the basis of the information given below.
Sixteen teams have been invited to participate in the ABC Gold Cup cricket tournament. The tournament is conducted in two stages. In the first stage, the teams are divided into two groups. Each group consists of eight teams, with each team playing every other team in its group exactly once. At the end of the first stage, the top four teams from each group advance to the second 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 one 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 four teams from each group advance to the next stage.
The minimum number of wins needed for a team in the first stage to guarantee its advancement to the next stage is-
The correct option is B 6
From the following table it is clear that if a team wins 5 games, then also there is no guarantee of its advancement to the next stage, as only 4 teams can go to the next stage.
Note: In the table W → Wins, L → Loose, × → No match
Team123451−WLLW2L−LLW3WL−LW4WLL−W5LWWL−6WWWWW7WWWWW8WWWWW
The above is one of such combination. Since after winning 5 matches too, there is no guarantee to advancement, so the Ans must be 6, because no two teams can get 7 points each.
From the following table it is clear that if a team wins 5 games, then also there is no guarantee of its advancement to the next stage, as only 4 teams can go to the next stage.
Note: In the table W → Wins, L → Loose, × → No match
Team123451−WLLW2L−LLW3WL−LW4WLL−W5LWWL−6WWWWW7WWWWW8WWWWW
The above is one of such combination. Since after winning 5 matches too, there is no guarantee to advancement, so the Ans must be 6, because no two teams can get 7 points each.
