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Tricky Tournament Treat (Posted on 2009-11-30) Difficulty: 3 of 5
Four friends, Arnold, Brian, Chuck and Denis, just played four rounds of a golf tournament. Their scores were all tied, even though the individual scores for the 16 rounds were all different. It is further known that:

(i) The 16 scores were all in the 60s and 70s.

(ii) All four of Arnold's scores were a prime.

(iii) All four of Brian's scores were semiprimes.

(iv) None of Chuck's or Denis' scores was either prime or semiprime.

(v) Chuck's lowest round was better (lower) than Denis’ lowest round. Chuck's worst round was better than Denis’ worst round.

What was the score of each of the golfers for the four rounds?

  Submitted by K Sengupta    
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Solution: (Hide)
The scores of each of the golfers was as follows:
         
        Round 1  Round 2    Round 3    Round 4   Total 
Arnold    61       67         71         79       278
Brian     62       65         74         77       278
Chuck     63       68         72         75       278
Denis     64       66         70         78       278
For a detailed explanation, refer to the solution submitted by Dej Mar in this location.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolutionSolutionDej Mar2009-11-30 18:00:09
Solutioncomputer-assisted solutionCharlie2009-11-30 13:59:39
fore-played bottemiller2009-11-30 13:26:02
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