| Direction: Read the case let carefully and answer the questions that follow: |
| 16 teams participated in Euro football tournament. These are divided into two groups A and B with each group having 8 teams. At the first stage, each team played against all other teams of its group once and top four teams from each group qualified for the quarterfinals. At the second stage, the team having first rank in group A will play with the team having first rank in group B. Similarly, the team having second rank in group A will play with the team having second rank in group B and so on. After the first stage, every match is a knock-out match (means the team losing any match after the first stage will be out from the tournament.) |
| In the third stage the winner of the quarterfinals will play the semifinal and in the fourth stage the winner of the semifinal will play the finals. If two or more teams end up with the same score the team with higher number of goals is placed higher in the point table. Two points are given for a win, no point is given for a loss and no match ends 'in a tie. |
A) \[42\frac{2}{9}%\]
B) \[44\frac{4}{9}%\]
C) \[53\frac{4}{9}%\]
D) \[54\frac{2}{9}%\]
E) \[38\frac{4}{9}%\]
Correct Answer: B
Solution :
Total number of matches played in Group A before quarterfinals \[={{\,}^{8}}{{C}_{2}}=28\] \[\therefore \]Total number of matches played in the tournament \[=28\times 2+4\times 2+1=63\] \[\therefore \]Reqd%\[=\frac{28}{63}\times 100=\frac{400}{9}=44\frac{4}{9}%\]
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