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#1 Prof. Templeton

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Posted 21 April 2009 - 04:11 PM

There are three omniscient Gods sitting in a room. The God of the Honesants, the Swindlecants, and the Randomcants. The Gods will only answer Yes/No questions. The Honestants God always answers truthfully, the Swindlecants God always lies and the God of the Randomcants only seems to answer randomly, but in fact will answer with an affirmative only if, one and only one, of the other two Gods would answer with an affirmation, otherwise he will answer with a negative.

You have entered the room and your task is to determine which God is which with only three questions. Unfortunately you don’t know the language of the Gods, only that there are two distinctly different words for Yes and No.

Rules:
  • The Gods will only answer Yes or No questions.
  • The Gods will answer in a single word in their language either an affirmative or a negative.
  • Each question must be addressed to a specific God. Asking one question of all three Gods is three questions.
  • You may ask more than one question to a single God.
  • You may chose your next question(s) based on previous answers.
  • Because of possible loop conflicts, you may not ask any question about how the God of the Randomcants would answer.

The concept for this problem is not of my own making. I will give full credit to the author after an acceptable solution is found.
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#2 Omni314

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Posted 21 April 2009 - 04:25 PM

There are three omniscient Gods sitting in a room. The God of the Honesants, the Swindlecants, and the Randomcants. The Gods will only answer Yes/No questions. The Honestants God always answers truthfully, the Swindlecants God always lies and the God of the Randomcants only seems to answer randomly, but in fact will answer with an affirmative only if, one and only one, of the other two Gods would answer with an affirmation, otherwise he will answer with a negative.

You have entered the room and your task is to determine which God is which with only three questions. Unfortunately you don’t know the language of the Gods, only that there are two distinctly different words for Yes and No.

Rules:

  • The Gods will only answer Yes or No questions.
  • The Gods will answer in a single word in their language either an affirmative or a negative.
  • Each question must be addressed to a specific God. Asking one question of all three Gods is three questions.
  • You may ask more than one question to a single God.
  • You may chose your next question(s) based on previous answers.
  • Because of possible loop conflicts, you may not ask any question about how the God of the Randomcants would answer.

The concept for this problem is not of my own making. I will give full credit to the author after an acceptable solution is found.



Q1: Are you a God? To any God
Y: truth or random
N: Lie

Q2: Same again to a different God
This way we definatly know which one the lieing god is

Q3: Does your name contain the letter O? To the final God
Y: Lie or truth
N: Random

I think this works
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#3 Prof. Templeton

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Posted 21 April 2009 - 05:19 PM

Q1: Are you a God? To any God
Y: truth or random
N: Lie

Q2: Same again to a different God
This way we definatly know which one the lieing god is

Q3: Does your name contain the letter O? To the final God
Y: Lie or truth
N: Random

I think this works


Remember, you don't know what means "yes" and what means "no". After your second question you could have 2 answers that are the same or two that are different. If they are different you won't have learned anything since you don't know who answered "yes" and who answered "no".

Edit: Well, you will learn something, but not much (of the two Gods they could be H-S, S-H, R-S, S-R).

Edited by Prof. Templeton, 21 April 2009 - 05:22 PM.

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#4 psycho

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Posted 21 April 2009 - 06:04 PM

Spoiler for What about...

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#5 Prof. Templeton

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Posted 21 April 2009 - 06:21 PM

Spoiler for What about...

Spoiler for To this question:

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#6 815

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Posted 21 April 2009 - 06:23 PM

1. Ask one god if they have a H in their name

2. Ask another god if they have a H in their name

3. Ask one of the gods that you should know by now isn't Randomcants if 2 + 2 = 4
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#7 psycho

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Posted 21 April 2009 - 06:24 PM

Spoiler for To this question:

I missed the one and only one part :rolleyes:
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#8 Prof. Templeton

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Posted 21 April 2009 - 06:32 PM

1. Ask one god if they have a H in their name

2. Ask another god if they have a H in their name

3. Ask one of the gods that you should know by now isn't Randomcants if 2 + 2 = 4


Spoiler for You won't know R after 2 questions

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#9 Prof. Templeton

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Posted 21 April 2009 - 06:33 PM

I missed the one and only one part :rolleyes:

That is what makes it hard. B))
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#10 Judix

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Posted 21 April 2009 - 06:39 PM

Spoiler for possible solution?
Sorry for making it so long! It is probably overcomplicated. :P
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