## Games And Tournament

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 questions.

1. How many stages are in the tournament?
1. 5
2. 6
3. 7
4. None of these
1. Since 64 = 26 hence we will have total 7th stages in the tournament with last 7th stage is the final match.

##### Correct Option: B

Since 64 = 26 hence we will have total 7th stages in the tournament with last 7th stage is the final match.

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1. What is the total number of matches in the tournament?
1. 63
2. 36
3. 127
4. None of these
1. Total number of matches is 32 + 16 + 8 + 4 +2 + 1 = 63
Or else since total number of players is 64 hence number of matches must be 64 - 1 = 63

##### Correct Option: A

Total number of matches is 32 + 16 + 8 + 4 +2 + 1 = 63
Or else since total number of players is 64 hence number of matches must be 64 - 1 = 63

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1. If seed 9 reached final then which one of the following could play with him in final?
1. 56
2. 24
3. 11
4. None of these
1. Seed 9 played with seed 56 in stage 1, with seed 24 in stage 2, But seed 11 can reach the final if he beats seeds 6, 3 and 2 in stage 3 4 and 5 respectively.

##### Correct Option: C

Seed 9 played with seed 56 in stage 1, with seed 24 in stage 2, But seed 11 can reach the final if he beats seeds 6, 3 and 2 in stage 3 4 and 5 respectively.

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1. Which lowest seeded player can win the tournament without causing an upset by him?
1. 32
2. 33
3. 34
4. None of these
1. If all the matches in stage 1 is an upset except the last match where seed 32 won, then in stage 2 seed 32 is the highest seeded player who can win the tournament without causing an upset.

##### Correct Option: A

If all the matches in stage 1 is an upset except the last match where seed 32 won, then in stage 2 seed 32 is the highest seeded player who can win the tournament without causing an upset.

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1. If seed 15 won the tournament then what is the minimum number of upsets caused by him?
1. 1
2. 2
3. 3
4. None of these
1. From the solution of previous question we have seen that seed 32 can win the tournament without causing an upset by him. So seed 15 can also win the tournament without causing an upset by him.

##### Correct Option: D

From the solution of previous question we have seen that seed 32 can win the tournament without causing an upset by him. So seed 15 can also win the tournament without causing an upset by him.

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