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 Tricky Tournament Treat (Posted on 2009-11-30)
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 No Rating 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.

 Subject Author Date Solution Dej Mar 2009-11-30 18:00:09 computer-assisted solution Charlie 2009-11-30 13:59:39 fore-play ed bottemiller 2009-11-30 13:26:02

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