The inhabitants of an island are either gentlemen or liars. A gentlemen always tells the truth and a liar always lies. A, B and C are three of the inhabitants. A sailor who landed on the island asked A, "Are you a gentleman or a liar?" A answered but the sailor did not hear clearly what A said. He asked B, "What did A say?" and B replied, "A said that he is a liar." C then shouted, "B is lying!"
1. It is impossible to tell whether A is a gentleman or a liar.
2. B is a gentleman and C is a liar.
3. B is a liar and C is a gentleman.
Which statements are correct?

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- NotTim

WE do have an english group. you can access it but clicking the long blue rectangular button beside openstudy's logo

- anonymous

this is maths! its logic

- NotTim

i guess. i didnt read the question; made some assumptions

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- anonymous

3 is correct i think

- anonymous

consider
C is L
=>B is G
=> A said "i am a liar"
this is impossible since if A is a liar then he told the truth and if A is a gentleman then he just lied
so the only other case is that
C is G
=> B is L
=> A did not say "i am a liar"

- hoblos

yes 3 is correct... but what about statement 1 ? i think it is also correct because A can be either a liar or a gentleman

- pythagoras123

I agree with hoblos; Because B is a liar, a statement made by B against A cannot be taken as proof for whether A is a liar or a gentleman.

- hoblos

yeah and the question is "Which statementS ARE correct" so there could be more than one

- anonymous

but if B lied and A did not say "i am a liar" and still answered the sailors question A must be a gentleman

- hoblos

A said " im a gentleman" but he may be lying !! so both cases are possible

- anonymous

ah good point

- lgbasallote

this reminds me of a riddle i saw in yu-gi-oh -___- hahaha

- lgbasallote

if b is a liar then it is impossible to determine A i believe..so that means b is a gentleman..but if he is then A said he was lying..which would be impossible as well because like you said liars wont admit that and gentlemen wont say that

- apoorvk

1 I say

- anonymous

From the problem its difficult to find the validity of both b's and c's statement. So I'll go with the 1st.

- anonymous

we solved it :D

- anonymous

read above X)

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