CAT Question 146
In the table below is the listing of players, seeded from highest (#1) to lowest (#32), who are due to play in an Association of Tennis Players (ATP) tournament for women. This tournament has four knockout rounds before the final, i.e., first round, second round, quarterfinals, and semifinals. In the first round, the highest seeded player plays the lowest seeded player (seed # 32) which is designated match No. 1 of first round; the 2nd seeded player plays the 31st seeded player which is designated match No. 2 of the first round, and so on. Thus, for instance, match No. 16 of first round is to be played between 16th seeded player and the 17th seeded player. In the second round, the winner of match No. 1 of first round plays the winner of match No. 16 of first round and is designated match No. 1 of second round. Similarly, the winner of match No. 2 of first round plays the winner of match No. 15 of first round, and is designated match No. 2 of second round. Thus, for instance, match No. 8 of the second round is to be played between the winner of match No. 8 of first round and the winner of match No. 9 of first round. The same pattern is followed for later rounds as well.
Seed # Name of Player
1. Maria Sharapova
2. Lindsay Davenport
3. Amelie Mauresmo
4. Kim Clijsters
5. Svetlana Kuznetsova
6. Elena Dementieva
7 Justine Henin
8 Serena Williams
9 Nadia Petrova
10 Venus Williams
11 Patty Schnyder
12 Mary Pierce
13 Anastasia Myskina
14 Alicia Molik
15 Nathalie Dechy
16 Elena Bovina
17 Jelena Jankovic
18 Ana Ivanovic
19 Vera Zvonareva
20 Elena Likhovtseva
21 Daniela Hantuchova
22 Dinara Safina
23 Silvia Farina Elia
24 Tatiana Golovin
25 Shinobu Asagoe
26 Francesca Schiavone
27 Nicole Vaidisova
28 Gisela Dulko
29 Flavia Pennetta
30 Anna Chakvetadze
31 Ai Sugiyama
32 Anna-lena Groenefeld
Q.1. If there are no upsets (a lower seeded player beating a higher seeded player) in the first round, and only match Nos. 6, 7, and 8 of the second round result in upsets, then who would meet Lindsay Davenport in quarter finals, in case Davenport reaches quarter finals?
(1) Justine Henin
(2) Nadia Petrova
(3) Patty Schnyder
(4) Venus Williams
Q.2. If the top eight seeds make it to the quarterfinals, then who, amongst the players listed below, would definitely not play against Maria Sharapova in the final, in case Sharapova reaches the final?
(1) Amelie Mauresmo
(2) Elena Dementieva
(3) Kim Clijsters
(4) Lindsay Davenport
Q.3. If, in the first round, all even numbered matches (and none of the odd numbered ones) result in upsets, and there are no upsets in the second round, then who could be the lowest seeded player facing Maria Sharapova in semi-finals?
(1) Anastasia Myskina
(2) Flavia Pennetta
(3) Nadia Petrova
(4) Svetlana Kuznetsova
Q.4. If Elena Dementieva and Serena Williams lose in the second round, while Justine Henin and Nadia Petrova make it to the semi-finals, then who would play Maria Sharapova in the quarterfinals, in the event Sharapova reaches quarterfinals?
(1) Dinara Safina
(2) Justine Henin
(3) Nadia Petrova
(4) Patty Schnyder