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A Coquin Problem (Posted on 2006-07-11) Difficulty: 5 of 5
We know that Liars always lie about everything, Knights always tell the truth. and Knaves strictly alternate between lying and telling the truth.

Let us define a new category, a Coquin, who is a renegade and will answer the questions any way he sees fit, but taking good care not to be mistaken with a Knight, Knave, or Liar. (Thus, a coquin will never make just one or two statements; he will always make three or more.)

Five workers (a blacksmith, a fisherman, an orange picker and two shepherds) are engaged in conversation. Two of them are Knights, one a Liar, one a Knave, and the other a Coquin. They say:

EIDNAS:
1. The Orange Festival is the most important event of the season.
2. The fisherman is the youngest amongst the five of us.
3. I am the Blacksmith.
4. Vaileres is not the second oldest among us.

GNIDNATS:
1. I am not the orange picker.
2. At least one of Eidnas� statements is true.
3. Inopmas is not the fisherman.
4. I am not the oldest amongst all the five of us.

INOPMAS:
1. Vaileres is the oldest amongst us.
2. I am the second oldest among us.
3. Picking oranges requires great skill and I do it well.
4. Gnidnats is not a Knave.

PITUSLON:
1. The blacksmith is the third oldest amongst us.
2. Eidnas� statements are not all false.
3. I am the older of the two shepherds.

VAILERES:
1. I am the oldest amongst the five of us.
2. I am a shepherd.
3. Pituslon�s second statement is true.
4. I am not the fourth youngest amongst all of us.


Determine who are Knights, who is the Liar, who is the Knave and who is the Coquin. What is the job of each person and what is their rank in age?

  Submitted by K Sengupta    
Rating: 4.0000 (6 votes)
Solution: (Hide)
The required solution to the problem is:

Name------------- Category------------Job------------Rank in Age--------
Eidnas------------ Knight------------Blacksmith--------Third Oldest-------
Gnidnats---------- Knave ----------- Orange Picker--------2nd Oldest----
Inopmas---------- Liar ------------- Fisherman --------- Youngest -------
Pituslon---------- Knight------------ Shepherd------------ Oldest ---------
Vaileres---------- Coquin ----------- Shepherd -------- Fourth Oldest ----

This problem has been correctly solved in terms of three of the many comments which were posted by readers of perplexus.

(i) Refer to the partial solution together with hint by Frederico Kereki in this location.

(ii)Refer to the solution posted by Jyqm in this location.

(iii)Refer to solution posted by trey in this location .

Comments: ( You must be logged in to post comments.)
  Subject Author Date
re(3): Is the solution unique? [Spoiler]Dej Mar2006-09-14 04:30:17
re(2): Is the solution unique? [Spoiler]K Sengupta2006-09-13 09:16:33
my opionSamuel Ballard2006-09-07 16:35:18
re(2): Is the solution unique? [Spoiler]gregg tsujimoto2006-08-10 19:51:43
re: Is the solution unique? [Spoiler]Dej Mar2006-08-10 16:03:53
QuestionIs the solution unique?gregg tsujimoto2006-08-10 07:47:33
Some Thoughtsre: Jyqm's SolutionDave S2006-07-12 20:19:25
SolutionSolutionFederico Kereki2006-07-11 21:50:10
Difficulty?Dej Mar2006-07-11 19:58:49
solutiontrey2006-07-11 17:39:13
SolutionSolutionJyqm2006-07-11 12:55:22
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