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Games and Tournament problems


  • 1. 
    The football league of a certain country is played according to the following rules :
    • Each team plays exactly one game against each of the other teams.

    • The winning team of each game is awarded 1 point and the losing team gets 0 point.

    • If a match ends in a draw, both the teams get ½ point. After the league was over, the teams were ranked according to the points that they earned at the end of the tournament. Analysis of the points table revealed the following :

    • Exactly half of the points earned by each team were earned in games against the 10 teams which finished at the bottom of the table.

    • Each of the bottom 10 teams earned half of their total points against the other 9 teams in the bottom 10 . How many teams participated in the league?

  • Options
  • A. 16
  • B. 18
  • C. 19
  • D. 25
  • Discuss
  • 2. 
    If there are no upsets (a lower seeded player beating a higher seeded player) in the first round, and only match Nos. 6, 7 and 8 of the second round result in upsets, then who would meet Lindsay Davenport in quarter finals, in case Deven port reaches quarter finals?

  • Options
  • A. Justine Henin
  • B. Nadia Petrova
  • C. Patty Schnyder
  • D. Venus Williams
  • Discuss
  • 3. 
    If the top eight seeds make it to the quarterfinals, then who, among the players listed below, would definitely not play against Maria Sharapova in the final, in case Sharapova reaches the final?

  • Options
  • A. Amelie Mauresmo
  • B. Elena Dementieva
  • C. Kim Clijsters
  • D. Lindsay Davenport
  • Discuss
  • 4. 
    If, in the first round, all even numbered matches (and none of the odd numbered ones) result in upsets, and there are no upsets in the second round, then who could be the lowest seeded player facing Maria Sharapova in semi-finals?

  • Options
  • A. Anastasia Myskina
  • B. Flavia Pennetta
  • C. Nadia Petrova
  • D. Svetlana Kuznetsova
  • Discuss
  • 5. 
    If Elena Dementieva and Serena William lose in the second round, while Justine Henin and Nadia Petrova make it to the semi-finals, then who would play Maria Sharapova in the quarterfinals, in the event Sharapova reaches quarterfinals?

  • Options
  • A. Dinara Safina
  • B. Justine Henin
  • C. Nadia Petrova
  • D. Patty Schnyder
  • Discuss
  • 6. 
    Diesel team won against which team?

  • Options
  • A. Edison
  • B. Marconi
  • C. Faraday
  • D. None of these
  • Discuss
  • 7. 
    If result of all the matches are interchanged i.e goals for will become goals conceded and vice versa then how many teams will have same number of goals scored as before?

  • Options
  • A. 1
  • B. 2
  • C. 3
  • D. None of these
  • Discuss
  • 8. 
    What % of total match end up with a result where winner won the match with a goal difference of 2.

  • Options
  • A. 66.67%
  • B. 77.77%
  • C. 55.55%
  • D. None of these
  • Discuss
  • 9. 
    How many teams got more than 10 % of total points but less than 20%?

  • Options
  • A. 2
  • B. 3
  • C. 4
  • D. None of these
  • Discuss
  • 10. 
    What is the total number of points given to these teams in these 3 days?

  • Options
  • A. 28
  • B. 27
  • C. 26
  • D. None of these
  • Discuss

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