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Games and Tournament 279
Now we can complete the table for Stage-II. 14. (c) In stage 2 total points are 56.
A B C D E F Consider bottom 3 players, they must play three
A X L L matches among themselves and hence they have
minimum 6 points with them,
B X W W Remaining points 56-6 = 50 if equally divided
C L X L between top 5 then one would get 10 points, so
D L X L to guarantee a seat in semifinal Ricky Singh has to
E W W X score 12 points.
F W W X 15. (d) Total number of matches are as follows:
Hence we can answer the questions now- Stage I: 24
9. (e) Stage II: 24
10. (b) And required ratio is 1:1
11. (d) 16. (c) Total number of matches are as follows-
12. (e) Stage I: 24
Solutions for 13-17 : Stage II: 24
In stage I, in a group in total 6 matches and that will have Semifinal: 2
rd
12 points in total. Total number of matches in this stage For 3 place (Looser of semi final): 1
is 4 × 6 = 24 Final: 1
In stage II, total 8 players and they play each other except Total number of matches is 52 and hence total
a player who comes from same group but point of their number of points is 52 × 2 = 104
match in stage I is carried forward hence in stage II total 17. (b) In stage 1 a player has to win minimum 1 match
points is 28 × 2 = 56. to advance to the next stage.
Number of matches in stage II is 7 × 8/2 – 4 = 24 Now consider the different groups,
13. (a) In this case we have to minimize the points scored South Kolkata: 1, 8, 9, 16 [seed 9 can advance after
by 4th ranker (Who advanced to Semi Final). In beating seed 16 without an upset]
order to minimize the points scored by Ricky Singh North Kolkata: 2, 7, 10, 15 [seed 10 can advance
top three players should get maximum points, Let after beating seed 15 without an upset]
points achieved by top three player at the end of Central Kolkata: 3, 6, 11, 14 [seed 11 can advance
stage II is 14, 12 and 10 summing up to 14 + 12 after beating seed 14 without an upset]
+ 10 = 36 and remaining points 56-36 = 20 got Saltlake: 4, 5, 12,13 [seed 12 can advance after
distributed to bottom 5 players. beating seed 113 without an upset]
To minimize the points scored by Ricky Singh, all So seed 12 is the lowest seed who can advance to
of the bottom five got same point (20/5 = 4 points) stage II without causing Upset in stage I, and can win
and with complex tie breaker Ricky is advanced to the tournament [Please note here that in stage II or
Semifinal. semifinal there may be an Upset
From the given information we can draw following table.
Amit Bhanu Chandra Dripto Eshan Firoz Gandhi Hemant
Amit X W 7
Bhanu X L W
Chandra X L W 2
Dripto L W X
Eshan W X L
Firoz L X L 0
Gandhi W X
Hemant L W X