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11 replies to this topic

### #1 ivcvolleyballer

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Posted 27 May 2011 - 12:10 AM

Getting Into the Inner Sanctum

There are four doors X, Y, Z, W leading out of the Middle Sanctum. At least one of them leads to the Inner Sanctum. If you enter a wrong door, you will be devoured by a fierce dragon.
Well, there were eight priests A, B, C, D, E, F, G, H, each of whom is either a knight or a knave. They made the following statements to the philosopher:

A: X is a good door.
B: At least one of the doors Y, Z is good.
C: A and B are both knights.
D: X and Y are both good doors.
E: X and Z are both good doors.
F: Either D or E is a knight.
G: If C is a knight, so is F.
H: If G and I are both knights, so is A. (H is referring to himself when he says “I.”)

Which door should the philosopher choose?
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### #2 Nana7

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Posted 27 May 2011 - 01:39 AM

also, request for clarification.

G: If C is a knight, so is F
H: If G and I are both knights, so is A.

Do these mean "if and only if"

Edited by Nana7, 27 May 2011 - 01:41 AM.

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### #3 Smith

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Posted 27 May 2011 - 02:04 AM

Spoiler for Well... (That's a deep subject)...

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### #4 ivcvolleyballer

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Posted 27 May 2011 - 02:58 AM

my friend gave me this puzzle and this is all there is. im still new to these logic puzzles so i thought maybe someone else could figure it out. but i also thought there was info missing and im glad im not the only one. thanks for the attempts
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### #5 Mukul Verma

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Posted 27 May 2011 - 05:38 AM

my friend gave me this puzzle and this is all there is. im still new to these logic puzzles so i thought maybe someone else could figure it out. but i also thought there was info missing and im glad im not the only one. thanks for the attempts

I suggest, we should post a puzzle only if we are ready to own it and have a definite answer. This will save the members' time.
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### #6 Silver Surfer

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Posted 27 May 2011 - 07:07 AM

Spoiler for Simplest solution that i can give is

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### #7 Peekay

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Posted 27 May 2011 - 04:29 PM

The statements are inconclusive and do not lead to a specific solution. However, if we assume that X is a good door, we do not land up with any obvious contradictions. So, that, at least, is a correct answer.
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### #8 Dr.Abhilash

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Posted 27 May 2011 - 05:13 PM

Spoiler for Simple

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### #9 Dej Mar

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Posted 27 May 2011 - 08:11 PM

Spoiler for observation

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### #10 googon

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Posted 27 May 2011 - 11:08 PM

im confuzed is there adifference betwwen inner sanctum the right door and the good door
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