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274 Games and Tournament
Concept Builder
Let us represent 8 players as R1, R2 etc then result would be as follows-
R1 R2 R3 R4 R5 R6 R7 R8
R1 XXXX W W W W W L L
R2 L XXXX W W W W W L
R3 L L XXXX W W W W W
R4 L L L XXXX L L
R5 L L L XXXX L L
R6 L L L XXXX L L
R7 W L L W W W XXXX W
R8 W W L W W W L XXXX
1. (b) For minimum number of matches lets take Lets consider bottom 3 they will have 3 matches
example of R4 he won 0 matches in stage 1 and 5 between them, so remaining 28 – 3 = 25 matches
matches in stage II. So required minimum number is have involvement of top 5 teams, if they won equal
5. number of matches i.e 5 each then decision will be
2. (c) from table option (c) is correct taken based on tie breaker rule, hence a team may
be eliminated even after winning 5 matches.
3. (d) From the table any option can satisfy the given 8. (c) From the solution of previous question even after
condition. winning 5 matches a team can get eliminated so to
4 (a) No player can win 3 matches be sure a team must win 6 matches.
5. (b) Minimum is 6 and maximum is 10 represented 9. (a) Consider top three team if they won maximum
by option number of matches then points with them is 7 + 6
8
6. (a) Number of matches in Stage 1 is 2( C ) = 2(7 × + 5 = 18, remaining 28 – 18 = 10 points can be
2
8/2) = 56 distributed to bottom 5 teams, so even after getting
2 points or 2 wins a team can advanced to next stage
Stage 2 will be a knockout tournament with 8 teams by tie breaker rule.
so in this stage number of matches will be 7. 10. (c) From the solution of previous question a team
Total number of matches is 56 + 7 = 63 even with two wins can advanced to next stage
st
7. (b) In the 1 round in one group number of matches where it has to play 3 matches so total number of
is (7 × 8/2) = 2 matches is 5.
Concept Cracker
1. (d) From the given conditions we can form the table as follows:
Karnataka Punjab Jharkhand Gujrat Initial Minimum Maximum
Points points points
Karnataka X 1 2 1 19 19 27
Punjab 1 X 2 1 29 29 37
Jharkhand 2 2 X 2 32 32 44
Gujrat 1 1 2 X 18 18 26