## pythagoras123 3 years ago 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?

1. NotTim

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

2. eigenschmeigen

this is maths! its logic

3. NotTim

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

4. eigenschmeigen

3 is correct i think

5. eigenschmeigen

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"

6. 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

7. 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.

8. hoblos

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

9. eigenschmeigen

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

10. hoblos

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

11. eigenschmeigen

ah good point

12. lgbasallote

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

13. 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

14. apoorvk

1 I say

15. anjali_pant

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

16. eigenschmeigen

we solved it :D

17. eigenschmeigen