Direction: Kolkata Premier League has 16 players seeded from 1 to 16. These players are divided in 4 groups namely South Kolkata, North Kolkata, Central Kolkata and Saltlake. 16 players are divided in these groups as follows :-
South Kolkata : 1, 8, 9, 16
North Kolkata : 2, 7, 10, 15
Central Kolkata : 3, 6, 11, 14
Saltlake : 4, 5, 12,13
In stage I :, each player in a group plays with all the other members in their group exactly once. 2 from each group is selected for stage II based on their number of points. A player qualifying for stage II carries forward only those points that he gained stage I against the another player who qualifies for stage II.
In stage II :, total 8 players (2 from each group) advanced to stage II, where each player plays every other player except the player from same group. At the end of stage II, the top 4 players on the basis of points would qualify for the IIIrd stage the Semi-Final stage.
Stage III : (Semi-Final), winners of the Semi-Final advanced to the final round and losers play for 3rd place. The following more rules of tournament is as follows :
(i) Points in stage I and stage II are awarded as follows : winner 2 points, looser 0 points.
(ii) An ‘upset’ is caused when, in any match a lower seeded player beats a higher seeded player.
(iii) There is no ties at any stage.
(iv) If points of the two players at the end of any stage are same then there is a complex rule to calculate the tie breaker.
(v) Seed 1 is the highest seed and seed 16 is the lowest rank seed.
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If Ricky Singh a lucky player from South Kolkata aspire to play semi final stage what is the minimum points he should aim to guarantee a seat in semifinal?
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- 10
- 6
- 12
- None of these
Correct Option: C
In stage I, in a group in total 6 matches and that will have 12 points in total.
Total number of matches in this stage is 4 × 6 = 24
In stage II, total 8 players and they play each other except a player who comes from same group but point of their match in stage I is carried forward hence in stage II total points is 28 × 2 = 56.
Number of matches in stage II is 7 × ( 8/2 ) – 4 = 24
In stage 2 total points are 56.
Consider bottom 3 players, they must play three matches among themselves and hence they have minimum 6 points with them,
Remaining points 56 - 6 = 50 if equally divided between top 5 then one would get 10 points, so to guarantee a seat in semifinal Ricky Singh has to score 12 points .
