Thursday, October 13, 2011

Prime Time Soccer

At the end of the soccer season, every player had scored a prime number of goals and the average for the eleven was also a prime number.  No player's tally was the same as anyone else's, and neither was it the same as the average.

Given that nobody had scored more than forty-five goals, how many goals did each player score?

Like yesterday, this puzzle comes out of The World's Biggest Book of Brainteasers & Logic Puzzles.


  1. No. of goals: 1,2,3,5,7,11,13,29,31,41,43. Avg - 17

  2. I believe the average of 1,2,3,5,7,11,13,29,31,41, and 43 to be closer to 16.909...

    The following seems to work, however:
    5,7,11,13,17,19,29,31,37,41,43 (Sum 253, avg 23)

  3. 05,07,11,13,17,19,29,31,37,41,43
    it worx....

  4. I would have to say, if it works then it works!


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