There were two women participating in a chess tournament. Every participant played two games with the other participants. The number of games that the men played between themselves proved to exceed by 66 the number of games that the men played with the women. The number of participants, is 

There were two women participating in a chess tournament. Every participant played two games with the other participants. The number of games that the men played between themselves proved to exceed by 66 the number of games that the men played with the women. The number of participants, is 

  1. A

    6

  2. B

    11

  3. C

    13

  4. D

    none of these

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    Solution:

    Let there be 'n' men participants. Then, the number of games that the men play between themselves is

     2 C2   n and the number of games that the men played with the women is 2. (2n).

     2.C2   n2 n=66n25 n66=0n=11.

     Number of participants = 11 men + 2 women = 13.

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