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 A Coquin Problem (Posted on 2006-07-11)
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?

 See The Solution Submitted by K Sengupta Rating: 3.8000 (5 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
 re(2): Is the solution unique? [Spoiler] | Comment 10 of 11 |
(In reply to re: Is the solution unique? [Spoiler] by Dej Mar)

It is true that Vaileres could either lie or speak the truth in his fourth statement. Now, Eidnas as a Knight says in his fourth statement that Vaileres  is not the second oldest.
Since there are exactly five workers it follows that "fourth youngest" would be equivalent to  "second oldest" and accordingly,  Eidnas' fourth statement implies that Vaileres is not the fourth youngest, which precisely corresponds with Vaileres' fourth statement. Thus the Coquin spoke the truth in his last statement.
Consequently, I fail to visualize the raison d'etre corresponding to the Coquin having lied in his fourth statement.

Edited on September 13, 2006, 9:21 am

Edited on September 13, 2006, 9:22 am
 Posted by K Sengupta on 2006-09-13 09:16:33

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