pythagoras123
  • pythagoras123
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?
Mathematics
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SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
jamiebookeater
  • jamiebookeater
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NotTim
  • NotTim
WE do have an english group. you can access it but clicking the long blue rectangular button beside openstudy's logo
anonymous
  • anonymous
this is maths! its logic
NotTim
  • NotTim
i guess. i didnt read the question; made some assumptions

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More answers

anonymous
  • anonymous
3 is correct i think
anonymous
  • 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
  • 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
  • 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
  • hoblos
yeah and the question is "Which statementS ARE correct" so there could be more than one
anonymous
  • 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
  • hoblos
A said " im a gentleman" but he may be lying !! so both cases are possible
anonymous
  • anonymous
ah good point
lgbasallote
  • lgbasallote
this reminds me of a riddle i saw in yu-gi-oh -___- hahaha
lgbasallote
  • 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
  • apoorvk
1 I say
anonymous
  • 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
  • anonymous
we solved it :D
anonymous
  • anonymous
read above X)

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