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Difficulty: 3 of 5 Latest: Which is greater? (in Just Math) Rating: 4.00
Each of A and B is a positive real number and N is an integer with N > 1 satisfying:
AN - A - 1 = 0, and:
B2N - B – 3A = 0

Which of A and B is greater?

(No Solution Yet, 2 Comments) Submitted on 2016-08-28 by K Sengupta   
Difficulty: 3 of 5 Bonus: Challenging Chess Championship (in Games) Rating: 3.33
Eight players competed at a recent chess tournament. Knowing that:

  • Each player played all the others, exactly once.
  • Winning earns you 1 point; drawing, point; and losing, 0 points.
  • Everybody ended with a different number of points.
  • The one who ended 2nd earned as many points as the four bottom players put together.
  • What was the result of the game between the player who ended 3rd and the player who ended 7th?

    (Solution Posted, 13 Comments) Submitted on 2005-11-16 by Old Original Oskar!   
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