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Question 263311:
Hello Sir
Sir, does this mean there is some sort of relativity between the god of lies' reply and god of truths' reply ?
The question is
You are stranded on an Island and on that island are 3 all knowing all powerful gods. One god is the god of truth, who always tells the truth and can never lie. The second god is the god of lies, he always lies and never tells the truth. The 3rd god is the god of chaos, he tells both lies and truths, however, completely randomly. The gods appear as identical twins, they all look the same. The gods also speak a language that you do not understand, except that you know that A and B are the responses yes and no (you however do not know which word is yes and which is no). You can only ask 3 yes or no questions to the gods in order to figure out which god is which. What 3 questions do you ask?
I answered :
Number the gods 1, 2, and 3.
“if I ask 3rd god of chaos 'you are one god of truth, who always tells the truth, right?' what would 3rd God
say?"
Then, one god : can't reply. <- that's because one god is the god of truth,who always tells the truth but he don't know what 3rd god would say.
2nd god : Yes or No.
3rd god : Yes or No.
*Surely, both 3rd and 2nd God will reply, yes or no whatever.
EXAMPLE-
# 1.
Ask god 1 and 2 : “if I ask 3rd god of chaos 'you are one god of truth, who always tells the truth, right?' what would 3rd God
say?"
God 1 : reply = Yes or No
God 2 : reply = Yes or No
#2.
Ask god 3 : "f I ask 3rd god of chaos 'you are one god of truth, who always tells the truth, right?' what would 3rd God
say?"
God 3 : = Can't reply.
#3.
Ask God 3 : " is god 2 god of lies,who always lies ? "
God 3 : = Yes.
hence, god 1 = god of chaos
god 2 = god of lies
god 3 = god of truths
or
Answer 2 :
Number the gods 1, 2, and 3. Ask god 1: Would god 2 say that 2+2=4? If he answers, then remember his answer and ask god 2: would god 3 say that 2+2=4?
If god 1 doesn't answer your question then god 2 is the chaos god. You now have 2 questions to determine which god is which from gods 1 and 2. So ask god 1: would god 3 say that 2+2=4?
If god 2 doesn't answer your question then god 3 is the chaos god. You have god 1's answer. And if gods 1 and 2 both answer, then god 1 is the chaos god and you have god 2's answer.
So you've pinpointed the chaos god. Call the remaining gods A and B, so that A is the one who you have already asked the "would god B say that 2+2=4" question of.
However god A answered, it meant "no," so now you know which word is "no." Now ask god A, "would god B say you are the lying god?" If he says yes, god A is the truth telling god and god B is the liar; if he says no, god A is the liar and god B is the truth telling god.
Thank you.
Sincerely,
Brooke ga-eul Kim
Answer by richwmiller(17219)   (Show Source):
You can put this solution on YOUR website! Why do you think that one of them can't or doesn't reply?
One always tells the truth.
One always lies,
and one randomly answers sometimes answers the truth and sometimes lies.
BTW Why do you address the question to "sir"? There are female tutors! and many men don't like being called sir.
http://www.rule0.com/archives/148
and
http://www.physicsforums.com/archive/index.php/t-36932.html
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