1.

In the table below is the list of teams, ranked from highest (#1) to lowest (#32), which are due to play in the Football World Cup. This tournament has four knockout rounds before the final, i.e. first round, second round, quarterfinals, and semifinals. In the first round, the highest ranked team plays the lowest ranked team (#32) which is designated as match no 1 of the first round; the second-ranked team plays the 31st ranked team which is designated as match no 2 of the first round, and so on. Thus, for instance, match number 16 is to be played between the 16th ranked team and 17th ranked team. In the second round, winner of match 1 of first round plays the winner of the match no 16 of the first round and is designated match 1 of the second round. Similarly, the winner of the match no 2 of first round plays the winner of the match no 15th of the first round and is designated as the 2nd match of the second round. Thus, for instance, match no 8 of the second round is to be played between the winner of match No.8 of the first round and the winner of match No.9 of the first round. The same pattern is followed for later rounds as well. RANK TEAMRANK TEAMRANK TEAM1Brazil12Cameroon23Croatia2Italy13Switzerland24Guinea3Argentina14Uruguay25Ghana4France15Ukraine26Romania5England16USA27Turkey6Netherlands17Denmark28Ecuador7Spain18Mexico29Egypt8Portugal19Paraguay30Poland9Germany20Coted′Ivoire31Tunisia10Czech R21Colombia32Greece11Nigeria22Sweden If there are no surprise wins (a lower ranked team beating a higher ranked team) in the first round, and only match Nos. 6, 7, 8 of the second round result in upsets, then who would meet Italy in quarterfinals, in case Italy reaches quarterfinals?

Answer»

In the table below is the list of teams, ranked from highest (#1) to lowest (#32), which are due to play in the Football World Cup. This tournament has four knockout rounds before the final, i.e. first round, second round, quarterfinals, and semifinals. In the first round, the highest ranked team plays the lowest ranked team (#32) which is designated as match no 1 of the first round; the second-ranked team plays the 31st ranked team which is designated as match no 2 of the first round, and so on. Thus, for instance, match number 16 is to be played between the 16th ranked team and 17th ranked team. In the second round, winner of match 1 of first round plays the winner of the match no 16 of the first round and is designated match 1 of the second round. Similarly, the winner of the match no 2 of first round plays the winner of the match no 15th of the first round and is designated as the 2nd match of the second round. Thus, for instance, match no 8 of the second round is to be played between the winner of match No.8 of the first round and the winner of match No.9 of the first round. The same pattern is followed for later rounds as well.
RANK TEAMRANK TEAMRANK TEAM1Brazil12Cameroon23Croatia2Italy13Switzerland24Guinea3Argentina14Uruguay25Ghana4France15Ukraine26Romania5England16USA27Turkey6Netherlands17Denmark28Ecuador7Spain18Mexico29Egypt8Portugal19Paraguay30Poland9Germany20CotedIvoire31Tunisia10Czech R21Colombia32Greece11Nigeria22Sweden

If there are no surprise wins (a lower ranked team beating a higher ranked team) in the first round, and only match Nos. 6, 7, 8 of the second round result in upsets, then who would meet Italy in quarterfinals, in case Italy reaches quarterfinals?




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