perplexus.info :: Logic : Six Seat Schedule

Six Seat Schedule (Posted on 2009-05-25)

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.

Submitted by K Sengupta

Rating: 2.0000 (1 votes)

Solution: (Hide)

Seat #1 is occupied by Cal.

Seat #2 is occupied by Elmer.

Seat #3 is occupied by Bob.

Seat #4 is occupied by Al.

Seat #5 is occupied by Fred.

Seat #6 is occupied by Don.

For an explanation, refer to the various methods as provided in terms of the comments.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
solution	Dej Mar	2009-05-26 19:42:02
another computer solution	Charlie	2009-05-25 16:15:01
Analytical solution (spoiler)	Steve Herman	2009-05-25 15:26:21
computer solution	Daniel	2009-05-25 14:35:08

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