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.
$\begin{matrix} R A N K & T E A M & R A N K & T E A M & R A N K & T E A M 1 & B r a z i l & 12 & C a m e r o o n & 23 & C r o a t i a 2 & I t a l y & 13 & S w i t z e r l a n d & 24 & G u i n e a 3 & A r g e n t i n a & 14 & U r u g u a y & 25 & G h a n a 4 & F r a n c e & 15 & U k r a i n e & 26 & R o m a n i a 5 & E n g l a n d & 16 & U S A & 27 & T u r k e y 6 & N e t h e r l a n d s & 17 & D e n m a r k & 28 & E c u a d o r 7 & S p a i n & 18 & M e x i c o & 29 & E g y p t 8 & P o r t u g a l & 19 & P a r a g u a y & 30 & P o l a n d 9 & G e r m a n y & 20 & C o t e d^{'} I v o i r e & 31 & T u n i s i a 10 & C z e c h R & 21 & C o l o m b i a & 32 & G r e e c e 11 & N i g e r i a & 22 & S w e d e n \end{matrix}$
If the top eight ranked teams make it to the quarterfinals, then who, amongst the teams listed below, would definitely not play against Brazil in the final, in case Brazil reaches final?

Argentina

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Netherlands

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France

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Italy

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Solution

The correct option is C France
The answer options are 2-3-4-6 ranked teams which have no chance of playing Brazil (1) in the Final.

Rank 1 (Brazil) will have to meet rank 4 in the semi-final after which they can never play in the final.

In the ideal scenario, 1 will play 2 in final so option (d) Italy is incorrect
Rank 2 will play rank 3 in the semifinals so it’s possible for rank 3 to beat rank 2 and meet Brazil in the finals; so option (a) is incorrect. Rank 2 can also meet with rank 6 in the semi-finals if rank 6 beats rank 3 in the quarter-finals and hence even rank 6 has a possibility of reaching the final by replacing 2 and without having the chance to have an encounter with brazil (rank 1); so option (b) is incorrect.

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Q. If the top eight ranked teams make it to the quarter-finals, then who, amongst the teams listed below, would definitely not play against Brazil in the final, in case Brazil reaches final?

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 quarter finals, in case Italy reaches quarter finals?

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