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Games and Tournament                                                                                273

                                         Answer with Solution




                                                  Concept Applicator



                                                  Assuming there is no upset
                          Stage 1       Stage 2      Stage 3       Stage 4       Stage 5      Stage 6
                           1- 64         1-16          1-16          1-8           1-4           1-2

                            2-63         2-15          2-15          2-7           2-3
                            3-62         3-14          3-14          3-6
                                                       4-13          4-5
                                                       5-12

                                                       6-11
                                                       7-10
                           31-34         15-16          8-9
                           32-33         16-17

                                                       th
                               6
            1.   (b) Since 64 = 2  hence we will have total 7  stages   4.   (a) If all the matches in stage 1 is an upset except
                in the tournament  with last 7th stage is the final   the last match where seed 32 won, then in stage 2
                match.                                                seed 32 is the highest seeded player who can win the
            2.   (a) Total number of matches is 32 + 16 + 8 + 4 +     tournament without causing an upset.
                2 + 1 = 63                                       5.   (d) From the solution of previous question we have
                Or else since total number of  players is  64  hence   seen that seed 32 can win the tournament without
                number of matches must be 64-1 = 63                   causing an upset by him. So seed 15 can also win
            3.   (c) Seed 9 played with seed 56 in stage 1, with seed   the tournament without causing an upset by him.
                24 in stage 2, But seed 11 can reach the final if he
                beats seeds 6, 3 and 2 in stage 3 4 and 5 respectively.

                                    A        B       C       D        E       F       G        H
                            A     XXXX      W        W        L       W       L        L       L       3
                            B       L      XXXX      L       W        W       W        L       L       3

                            C       L       W      XXXX      W        L       L        L       L       2
                            D       W        L       L     XXXX       W       L       W        L       3
                            E       L        L       W        L     XXXX      L       W        L       2
                            F       W        L       W       W        W     XXXX       L       L       4

                            G       W       W        W        L       L       W     XXXX       L       4
                            H       W       W        W       W        W       W       W      XXXX      7

            6.   (c) From the table F won 4 matches.             9.   (d) C and E won 2 matches.
            7.   (c) From the table G lost 4 matches.            10.  (a) 2 teams won 2 matches each
            8.   (b) From the table E won against C and G
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