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Games and Tournament                                                                                265



              1. ConCept AppliCAtor


            Direction (Qs. 1-5):                                 Direction (Qs. 6-10): 8 teams namely A, B, C, D, E, F,
                                                                                                           st
            In a knockout tournament 64 players participated. These   G and H participated in a tournament whose 1  stage is a
            64 players are seeded from 1 to 64  with seed 1 being   round robin stage where each team play with other team
            the top seed and seed 64  being the bottom seed. The   exactly once. Following further information is known to
            tournament is conducted in different stages.         us:
            In stage 1 seed 1 played with seed 64 and that match is   (i)  A won against B, C and E.
            named as match 1 of stage 1, seed 2 played with seed 63   (ii)  Number of matches won by A, B and D is 3 each no
            and that match is named as match 2 of stage 1, and so on.  other team won 3 matches.
            In stage 2, winner of match 1 and match 32 of stage 1   (iii)  C won against B and D but lost to E.
            played against each other and that match is named as
            Match 1 of stage 2, then winner of match 2 and match   (iv)  H won all the matches.
            31 of stage 1 played against each other and that match is   (v)  G won against B but lost to E.
            named as Match 2 of stage 2. And so on               (vi)  D lost to F and C won only 2 matches.
            The same procedure is followed in further stages. Now   Now answer the following questions:
            answer the following questions.
            1.   How many stages are in the tournament?          6.   How many matches F won
                (a)  5                 (b)  6                         (a)  2                 (b)  3
                (c)  7                 (d)  None of these             (c)  4                 (d)  None of these
            2.   What  is the total number  of matches in the    7.   How many matches G lost?
                 tournament?                                          (a)  2                 (b)  3
                (a)  63                (b)  36                        (c)  4                 (d)  None of these
                (c)  127               (d)  None of these        8.   E won against which all teams?
            3.   If seed 9 reached final then which one of the following      (a)  C and B    (b)  C and G
                 could play with him in final?                        (c)  C and F           (d)  None of these
                (a)  56                (b)  24
                (c)  11                (d)  None of these        9.   Which team won minimum number of matches?
            4.   Which lowest seeded player can win the tournament      (a)  C and B         (b)  C and G
                 without causing an upset by him?                     (c)  C and F           (d)  None of these
                (a)  32                (b)  33                   10.  How many teams won 4 matches?
                (c)  34                (d)  None of these             (a)  2                 (b)  3
            5.   If seed  15 won  the  tournament  then  what is the      (c)  4             (d)  None of these
                minimum number of upsets caused by him?
                (a)  1                 (b)  2
                (c)  3                 (d)  None of these




              2. ConCept Builder


                                   st
            Direction (Qs. 1-5):  1  stage of the TT tournament   1.   What is the minimum number of matches won by
            is a round robin stage where 8  players played  against   any player.
            each other, after this stage it is found that 5 players won      (a)  0          (b)  5
                                     nd
            5 matches each. After this 2  stage is conducted in the      (c)  6              (d)  None of these
            similar fashion where again  5  players won 5  matches   2.   If a player won 0 matches in stage 1 then which one
            each. Only two players won 10 matches each. There is no   of the following is correct?
            tie in any match.
                                                                      (a)  There must be a player who won 3 matches.
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