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pythagoras123 Group Title

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?

  • 2 years ago
  • 2 years ago

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

    • 2 years ago
  2. eigenschmeigen Group Title
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    this is maths! its logic

    • 2 years ago
  3. NotTim Group Title
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    i guess. i didnt read the question; made some assumptions

    • 2 years ago
  4. eigenschmeigen Group Title
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    3 is correct i think

    • 2 years ago
  5. eigenschmeigen Group Title
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    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"

    • 2 years ago
  6. hoblos Group Title
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    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

    • 2 years ago
  7. pythagoras123 Group Title
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    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.

    • 2 years ago
  8. hoblos Group Title
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    yeah and the question is "Which statementS ARE correct" so there could be more than one

    • 2 years ago
  9. eigenschmeigen Group Title
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    but if B lied and A did not say "i am a liar" and still answered the sailors question A must be a gentleman

    • 2 years ago
  10. hoblos Group Title
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    A said " im a gentleman" but he may be lying !! so both cases are possible

    • 2 years ago
  11. eigenschmeigen Group Title
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    ah good point

    • 2 years ago
  12. lgbasallote Group Title
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    this reminds me of a riddle i saw in yu-gi-oh -___- hahaha

    • 2 years ago
  13. lgbasallote Group Title
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    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

    • 2 years ago
  14. apoorvk Group Title
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    1 I say

    • 2 years ago
  15. anjali_pant Group Title
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    From the problem its difficult to find the validity of both b's and c's statement. So I'll go with the 1st.

    • 2 years ago
  16. eigenschmeigen Group Title
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    we solved it :D

    • 2 years ago
  17. eigenschmeigen Group Title
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    read above X)

    • 2 years ago
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