BMAD Posted April 26, 2013 Report Share Posted April 26, 2013 Mike joins a campfire with three friends. After five minutes, Mike is bored and decides to start up a conversation: (speaker- dialogue) Mike- Tell me something interesting. Adam-one of us is always a liar. Mike-Really? Eric- Yes. They always lie, but one of us is also always a truth teller. Mike- Oh, cool, well then …that would mean that Sam is the ‘always liar.’ Sam- Yes, yes I am. Mike-…What? Wait a minute. I thought you were always a liar. Sam- Yes I am. Eric-He is. Mike-He is? Eric-yes Sam-yes Mike-yes? Adam-no. Mike-no. Sam-no. Mike-wait….then does that make Eric the liar? Eric- Yes Sam- No Adam-yes Mike- What?? **Who is the ‘always’ liar? Quote Link to comment Share on other sites More sharing options...
0 bhramarraj Posted April 27, 2013 Report Share Posted April 27, 2013 (edited) Let us indicate always liar by 'L' and always truth teller by 'T'. There are four sets of conversation: Mike- Tell me something interesting. Adam-one of us is always a liar. Mike-Really? Eric- Yes. They always lie, but one of us is also always a truth teller. Mike- Oh, cool, well then …that would mean that Sam is the ‘always liar.’ Sam- Yes, yes I am. Above tells us: [1] Adam can't be 'L' if one of them is 'L'. He cold be 'T'. [2] Eric can't be 'L', if one of them is 'T', but he could be 'T'. [3] Mike's interpretation from the conversation is not correct, as the conversation which took so far between them could not ascertain that Sam is 'L'. So Mike could be 'L'. [4] Sam can't be 'L', he is not 'T' also. Second set of conversation: Mike-…What? Wait a minute. I thought you were always a liar. Sam- Yes I am. Eric-He is. Mike-He is? Eric-yes Sam-yes Mike-yes? Adam-no. Mike-no. Sam-no. Above tells us: [5] Mike could be 'L'. [6] Sam can't be 'L' or 'T'. [7] Eric can't be 'T'. Though here he is lying but if one of them was 'T', then he can't be 'L' as he could be 'T' in First set of conversation. [8] Adam is right here, so he could be 'T'. So he can't be 'L'. Third set of conversation: Mike-wait….then does that make Eric the liar? Eric- Yes Sam- No Adam-yes Mike- What?? Above tells us: [9] Mike could not be put into any catagoury. [10] Eric could not be 'T'. [11] Sam could be speaking truth. [12] Adam could be telling truth here. So if one of them is 'L', then it has to be Mike only. And then Adam will be 'T'. Edited April 27, 2013 by bhramarraj 1 Quote Link to comment Share on other sites More sharing options...
0 ParaLogic Posted April 26, 2013 Report Share Posted April 26, 2013 (edited) Adam always lies, and the other two are just messing with him. The question 'yes?' is rather vague. I have no idea what he's trying to ask. Edited April 26, 2013 by ParaLogic Quote Link to comment Share on other sites More sharing options...
0 BMAD Posted April 26, 2013 Author Report Share Posted April 26, 2013 the "yes?" is meant to convey his repeating of their answers with disbelief or confusion. Adam always lies, and the other two are just messing with him. The question 'yes?' is rather vague. I have no idea what he's trying to ask. Quote Link to comment Share on other sites More sharing options...
0 BMAD Posted April 26, 2013 Author Report Share Posted April 26, 2013 Adam always lies, and the other two are just messing with him. The question 'yes?' is rather vague. I have no idea what he's trying to ask. If Adam is always the liar, what does that imply about Adam's first statement? Quote Link to comment Share on other sites More sharing options...
0 ParaLogic Posted April 26, 2013 Report Share Posted April 26, 2013 (edited) Oops. I accidentally (mentally) switched Eric/Adam's names when I read the first few lines. Edited April 26, 2013 by ParaLogic Quote Link to comment Share on other sites More sharing options...
0 BMAD Posted April 26, 2013 Author Report Share Posted April 26, 2013 Oops. I accidentally (mentally) switched Eric/Adam's names when I read the first few lines. What would that mean with regards to Eric's last line? Quote Link to comment Share on other sites More sharing options...
0 vistaptb Posted April 27, 2013 Report Share Posted April 27, 2013 None of them are either always liars or always truthtellers. Adam just happened to be lying in the first line. Quote Link to comment Share on other sites More sharing options...
0 BMAD Posted April 27, 2013 Author Report Share Posted April 27, 2013 None of them are either always liars or always truthtellers. Adam just happened to be lying in the first line. I disagree. Quote Link to comment Share on other sites More sharing options...
0 BMAD Posted April 27, 2013 Author Report Share Posted April 27, 2013 Though I disagree with your view that Adam is the truth teller. Let us indicate always liar by 'L' and always truth teller by 'T'. There are four sets of conversation: Mike- Tell me something interesting. Adam-one of us is always a liar. Mike-Really? Eric- Yes. They always lie, but one of us is also always a truth teller. Mike- Oh, cool, well then that would mean that Sam is the always liar. Sam- Yes, yes I am. Above tells us: [1] Adam can't be 'L' if one of them is 'L'. He cold be 'T'. [2] Eric can't be 'L', if one of them is 'T', but he could be 'T'. [3] Mike's interpretation from the conversation is not correct, as the conversation which took so far between them could not ascertain that Sam is 'L'. So Mike could be 'L'. [4] Sam can't be 'L', he is not 'T' also. Second set of conversation: Mike-What? Wait a minute. I thought you were always a liar. Sam- Yes I am. Eric-He is. Mike-He is? Eric-yes Sam-yes Mike-yes? Adam-no. Mike-no. Sam-no. Above tells us: [5] Mike could be 'L'. [6] Sam can't be 'L' or 'T'. [7] Eric can't be 'T'. Though here he is lying but if one of them was 'T', then he can't be 'L' as he could be 'T' in First set of conversation. [8] Adam is right here, so he could be 'T'. So he can't be 'L'. Third set of conversation: Mike-wait.then does that make Eric the liar? Eric- Yes Sam- No Adam-yes Mike- What?? Above tells us: [9] Mike could not be put into any catagoury. [10] Eric could not be 'T'. [11] Sam could be speaking truth. [12] Adam could be telling truth here. So if one of them is 'L', then it has to be Mike only. And then Adam will be 'T'. Quote Link to comment Share on other sites More sharing options...
0 dark_magician_92 Posted April 28, 2013 Report Share Posted April 28, 2013 (edited) I am getting - Mike always lies, and rest 3 sometimes tell truth and sometimes lie. Edited April 28, 2013 by dark_magician_92 Quote Link to comment Share on other sites More sharing options...
Question
BMAD
Mike joins a campfire with three friends. After five minutes, Mike is bored and decides to start up a conversation:
(speaker- dialogue)
Mike- Tell me something interesting.
Adam-one of us is always a liar.
Mike-Really?
Eric- Yes. They always lie, but one of us is also always a truth teller.
Mike- Oh, cool, well then …that would mean that Sam is the ‘always liar.’
Sam- Yes, yes I am.
Mike-…What? Wait a minute. I thought you were always a liar.
Sam- Yes I am.
Eric-He is.
Mike-He is?
Eric-yes
Sam-yes
Mike-yes?
Adam-no.
Mike-no.
Sam-no.
Mike-wait….then does that make Eric the liar?
Eric- Yes
Sam- No
Adam-yes
Mike- What??
**Who is the ‘always’ liar?
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