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Six Seat Schedule (Posted on 2009-05-25) Difficulty: 2 of 5
Six brothers Al, Bob, Cal, Don, Elmer and Fred always take the same seat when they have their meals in the circular dinner table. The following figure displays their seat numbers.

           1
      6       2
      5       3
          4


The following is known:
  • Bob's seat number is precisely 1 larger than that of Elmer's seat number.
  • The seat of Don is separated from Al's seat by precisely one of the other brothers.
  • Al's seat number is either 1 larger than or 1 smaller than Fred's seat number.
  • The absolute difference of Cal's seat number from that of Bob's and the absolute difference of Cal's seat number from that of Don's are respectively either, 2 and 5; or, 5 and 2.
Determine the respective seat numbers of the six brothers.

See The Solution Submitted by K Sengupta    
Rating: 2.0000 (1 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolutionsolutionDej Mar2009-05-26 19:42:02
Solutionanother computer solutionCharlie2009-05-25 16:15:01
SolutionAnalytical solution (spoiler)Steve Herman2009-05-25 15:26:21
computer solutionDaniel2009-05-25 14:35:08
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