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Number of matches to declare the winner

(4 votes, average: 3.00 out of 5)

May 15, 2014 by puzzler 2 Comments

Singles table tennis tournament is held at Infosys, a total of 32 players participated in the tournament. If a player is eliminated as soon as the player loses a match. How many matches are required to declare the winner?

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Solution 1:
Lets say first player is the best player and he will win all the matches, now assume he plays match against all others and defeat them, thus a total of 31 matches will be required for him to do so.

Solution 2:
Lets say we first have 16 matches, it will eliminate 16 persons.
Next we have 8 matches it will further eliminate 8 persons, leaving with us 8.
Next we again have 4 matches, leaving 4 persons.
Next 2 matches, leaving two finalists, and 1 match in finalist will decide the winner.

Thus a total of 16+8+4+2+1 = 31 matches will be needed to declare the winner.

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Comments

  1. taq says

    September 30, 2014 at 5:01 pm

    27

    Reply
  2. Shweta Salunkhe says

    July 10, 2014 at 6:53 am

    31

    Reply

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