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Blood runs thick in Transylvania


Best Answer Rainman, 19 December 2012 - 05:04 PM

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#1 bonanova

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Posted 19 December 2012 - 08:05 AM

Inspector Craig of Scotland Yard was called to Transylvania to solve some cases of vampirism. Arriving there, he found the country inhabited both by vampires and humans. Vampires always lie and humans always tell the truth.

However, half the inhabitants, both human and vampire, are insane and totally deluded in their beliefs: all true propositions they believe false, and all false propositions they believe true. The other half of the inhabitants are completely sane: all true statements they know to be true, and all false statements they know to be false.

Thus sane humans and insane vampires make only true statements; insane humans and sane vampires make only false statements.

Inspector Craig met two sisters, Lucy and Minna. He knew that one was a vampire and one was a human, but knew nothing about the sanity of either. Here is the investigation:

Craig (to Lucy): Tell me about yourselves.
Lucy: We are both insane.
Craig (to Minna): Is that true?
Minna: Of course not!

Did Craig learn the vampire's identity?
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#2 badhri

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Posted 19 December 2012 - 10:32 AM

Spoiler for The below is the only possible combination

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#3 TimeSpaceLightForce

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Posted 19 December 2012 - 03:47 PM

Spoiler for need clue

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#4 bonanova

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Posted 19 December 2012 - 03:52 PM

Spoiler for The below is the only possible combination


Lucy's statement could not be true?
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#5 Rainman

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Posted 19 December 2012 - 05:04 PM   Best Answer

Spoiler for Answer


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#6 badhri

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Posted 19 December 2012 - 05:17 PM

Lucy's statement could not be true?

Lucy - Vampire Sane
Minna - Human Sane

 

Lucy's statement - We are both insane - this is false (since both are sane)

Minna's statement - Of course not - this is true

 

Hope i m clear.. Ans: Lucy - Vampire

 

This can also be lucy - Vampire insane ; Minna- Human insane.. anyhow Lucy- vampire


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#7 bonanova

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Posted 19 December 2012 - 08:37 PM

Lucy - Vampire Sane
Minna - Human Sane
 
Lucy's statement - We are both insane - this is false (since both are sane)
Minna's statement - Of course not - this is true
 
Hope i m clear.. Ans: Lucy - Vampire
 
This can also be lucy - Vampire insane ; Minna- Human insane.. anyhow Lucy- vampire


Right. I meant to ask could not Lucy be insane.
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#8 TimeSpaceLightForce

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Posted 19 December 2012 - 08:54 PM

Spoiler for

 


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