Sixty-four players seeded from seed 1 to seed 64 participated in a knock-out tennis tournament. Seed 1 is the highest seed and seed 64 is the lowest seed. The tournament would be played in six rounds i.e., first round, second round, third round, quarterfinals, semi finals and final. In the first round, the player with the highest seed (i.e., 1) would play with the player with the lowest seed (i.e., 64) which is designated Match No.1.

Similarly, the player with the second highest seed (i.e., 2) would play with the player with the second lowest seed (i.e., 63), which is designated Match No.2 and so on. In the second round, the winner of the Match No.1 of the first round would play with the winner of the Match No.32 of the first round and this match is designated Match No.1 of the second round.

Similarly, the winner of the Match No.2 of the first round would play with the winner of the Match No.31 of the first round and this match is designated Match No.2 of the second round and so on. In the similar pattern the subsequent rounds will be played.

**Q1. **If the player seeded 43 won the tournament, then which of the following players cannot be the runner-up?

- Player seeded 44
- Player seeded 45
- Player seeded 46
- Player seeded 36

**Q2. **Who could be the lowest seeded player facing the player seeded 12 in the finals?

- 57
- 59
- 62
- 63

**Q3. **If one of the matches was between the players seeded 23 and 46, then one of the matches in the tournament can be between players seeded

- 9 and 13
- 6 and 18
- 5 and 51
- 17 and 15

**Q4. **If there are only five upsets (a lower seeded player beating a higher seeded player) in the tournament, then who could be the lowest seeded player winning the tournament?

- 16
- 17
- 63
- 32

We can represent the matches In the tournament as follows:

**Solution:**

**Q1. **From the above diagram, we can see that if the player seeded 43 reached finals, then the player seeded 46 cannot reach the final, as they are in the same half of the draw and exactly one person from each half of the draw reaches the finals. Choice (3)

**Q2. **As the player seeded 12 is present in the top half of the draw, the lowest seeded player in the bottom half i.e.. the player seeded 63 can play with him in the final. Choice (4)

**Q3. **If we divide the above diagram into four parts, from the top to bottom, 46 comes under the third part and 23 comes under the fourth part.

Therefore, Except players seeded 23 and 46, none of the players who are present in the third or the fourth part can play with any of the players in the other three groups.

Therefore, Only the match between the players seeded 9 and 13 is possible among the given choices. Choice (1)

**Q4. **Any player, to win the tournament, needs to win six matches. If five of them are upsets, then the player seeded 32 can win the tournament. Choice (4)