Middle earth is fictional land inhabited by hobbits elves dwarves and men. The hobbits and the elves are peaceful creatures who prefer slow silent lives and appreciate nature and art. The dwarves and the men engage in physical games. The game is as follows. A tournoi is one where out of the two teams that play a match the one that loses get eliminated the matches are played in different rounds where in every round; half of the teams get eliminated from the tournament. If there are 6 rounds played in a knock out tournoi how many matches were played?
(a) 42 (b) 64 (c) 63 (d) 65

• 63.. option C
  
  As there are 6 rounds, it means there are 2^6= 64 teams.
  
  Each match result in elimination of 1 team.
  
  so 63 matches are played to eliminate 63 teams.
• 13 years agoHelpfull: Yes(18) No(1)
• first round:32 teams
  second round:16 teams
  third round:8 teams
  fourth round:4 teams
  fifth round:2 teams
  final or sixth round:only 1 team
  so total is :32+16+8+4+2+1=63
• 13 years agoHelpfull: Yes(13) No(1)
• let the total no. of teams be x
  after 1st round x/2 teams will be remaining
  after 2nd round x/4 teams will be remaining
  after 3rd round x/8 teams will be remaining
  and so on
  after 6th round x/64 teams will be remaining
  as after 6th round there will be only one team remaining
  so x/64=1
  x=64
  so in total there are 64 teams
  so to eliminate 64 teams 63 matches have to be conducted...
• 13 years agoHelpfull: Yes(10) No(2)
• 63
  
  Total teams 64.
  
  matches 32+16+8+4+2+1= 63
• 13 years agoHelpfull: Yes(8) No(2)
• 63 will be the ans
• 13 years agoHelpfull: Yes(4) No(1)
• Out of all the options only option (a) is divisible by 6.Therefore option (a) 42 is the answer.
• 13 years agoHelpfull: Yes(0) No(22)