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Who are the Liars?

09/03/2021 6:13 PM

Two kids are liars, three can only say the truth.

Jane: "Julia is only a liar, if John is telling the truth."

Julia: "If Joey doesn't lie, then either Jane or John do."

Joey: "Jack lies, as does Jane of Julia."

John: "If Julia is telling the truth, then Jane or Joey do as well."

Jack: "If you round up Jane, Joey and John, you will have at least one liar." The compulsive liars are?------

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#1

Re: Who are the liars?

09/03/2021 8:23 PM

Definitely Joe.

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#2

Re: Who are the liars?

09/04/2021 3:29 AM

I think Joey is the only liar among the five names, and that the puzzle's originator (who is not HTRN) is lying about the number of liars.

This has been around on Reddit and elsewhere for a while, but some of the names have been inconsistently interchanged. I don't know whom to credit.

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#3
In reply to #2

Re: Who are the liars?

09/04/2021 5:50 AM

The names have been changed to protect the innocent. Maybe. I may be lying!

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#4

Re: Who are the Liars?

09/04/2021 6:54 AM

The statement below is false

The statement above is true.

I never claimed to be the originator,just passing it along.

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#5

Re: Who are the Liars?

09/04/2021 6:56 AM

If I attempt to fail,and succeed,what have I done?

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#6

Re: Who are the Liars?

09/04/2021 10:14 AM

The only way I can see to attack this problem is to list the combinations and see which one is consistent with the statements, taking care to reverse for the assumed liars. There are 5!/(3!2!) = 10 combinations (pairs of liars).

Liars:

1 Jane, Julia

2 Jane, Joey

3 Jane, John

4 Jane, Jack

5 Julia, Joey

6 Julia, John

7 Julia, Jack

8 Joey, John

9 Joey Jack

10 John Jack

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#9
In reply to #6

Re: Who are the Liars?

09/05/2021 1:25 PM

I think this is the right answer. I wrote a program to print out the statements for the 10 combinations.

Joey and John are the liars. Jane, Julia, and Jack are telling the truth.

Jane: Julia is only a liar if John is telling the truth. - TRUE

Julia: If Joey doesn't lie, then either Jane or John do. - TRUE

Joey: Jack lies, as does Jane or Julia. - LIE

John: If Julia is telling the truth, then Jane or Joey do as well. - LIE

Jack: If you round up Jane, Joey and John, you will have at least one liar. - TRUE

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#11
In reply to #9

Re: Who are the Liars?

09/06/2021 9:08 AM

I think John's statement is true there.

I don't think there is a solution, but:-

_____________________________________________________________

Two kids are liars, three can only say the truth.

Jane: "Julia is only a liar, if John is telling the truth."

Julia: "If Joey doesn't lie, then either Jane or John do."

Joey: "Jack lies, as does Jane of Julia."

John: "If Julia is telling the truth, then Jane or Joey do as well."

Jack: "If you round up Jane, Joey and John, you will have at least one liar." The compulsive liars are?------

_____________________________________________________________

Joey is the key here

IF he tells the truth then his statement indicts Jack and Jane.

But then Jack's statement is true: contradiction. Therefore Joey is one of the liars.

Jack's statement is still true, so, he is one of the truthtellers.

Julia's statement tells us nothing except we know it is not a lie so Julia is a truthteller (I think)

So now either Jane or John is the third truthteller.

Jane's statement is clearly correct if John is a liar. But, then John's statement is also true: contradiction.

But John can't be the truthteller because then his statement would be a lie.

So I think we need to look at Julia's statement again. If she is a liar can we make her statement some how represent a lie? I don't think so.

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#7

Re: Who are the Liars?

09/04/2021 1:02 PM

Everything that I say is a lie and that is the absolute truth!

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#8

Re: Who are the Liars?

09/04/2021 11:40 PM

It's not politically correct to give the names, so I will give some rhymes: The New York Rhymes, Ryn, Relosi, Riden.

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#10

Re: Who are the Liars?

09/05/2021 5:13 PM

And the answer is:

The liars are as follows:
1.Julia
2.Jack
The rest are telling the truth
1.Jane
2.Joey
3.John
Jack says out of the 3 names listed one is lying. That was a lie. Therefore those are the three that can not tell a lie...

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#12
In reply to #10

Re: Who are the Liars?

09/06/2021 9:12 AM

If Joey tells the truth then his statement "Jack lies, as does Jane of Julia." Quite clearly states that Jack and Jane are the liars.

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#13
In reply to #12

Re: Who are the Liars?

09/06/2021 10:28 AM
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#14
In reply to #13

Re: Who are the Liars?

09/07/2021 6:16 AM

Remarkably your source contains the same typo in two places:-

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#16
In reply to #13

Re: Who are the Liars?

09/08/2021 6:32 AM

Two kids are liars, three can only say the truth.

Jane: "Julia is only a liar, if John is telling the truth."

Julia: "If Joey doesn't lie, then either Jane or John do."

Joey: "Jack lies, as does Jane OR Julia."

John: "If Julia is telling the truth, then Jane or Joey do as well."

Jack: "If you round up Jane, Joey and John, you will have at least one liar." The compulsive liars are?------

______________________________________________________________________________________________________

First: assume that Joey tells the truth, then Jack is a liar and Jane, Joey and John are truth tellers. The other statements all fall into line.

But the other possibility is that Joey lies: then Jack tells the truth, and, Julia's statement is true.

John cannot be telling the truth as we know that Julia is truthful (and that would make 4 truthtellers).

But if Jane tells the truth then all other statements fall into line.

So it looks as though Joey and John is another solution.

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#17
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Re: Who are the Liars?

09/08/2021 7:20 AM

Construct a truth table and it all becomes clearer.

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#18
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Re: Who are the Liars?

09/08/2021 12:52 PM

Good one.

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#19
In reply to #17

Re: Who are the Liars?

09/08/2021 1:43 PM

Okay, let's see it.

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#20
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Re: Who are the Liars?

09/08/2021 6:48 PM

That would be too easy.

Figure it out. DIY

I won't be around all your life to help you.

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#21
In reply to #20

Re: Who are the Liars?

09/08/2021 8:49 PM

The reason you don't do this is not because it's too easy; it's because you find it too hard.

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#22
In reply to #21

Re: Who are the Liars?

09/09/2021 7:27 AM

It is easy for me,but apparently, very hard for you,which is why you don't do it.

Hint: Start with a flow chart to get started.

You should be able to handle it from then on,maybe.

No more excuses,just do it or don't;DILLIGAF?

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#15
In reply to #10

Re: Who are the Liars?

09/08/2021 2:29 AM

That conclusion does not follow until it is shown that no other clue contradicts it.
(Several of the Reddit and other responses make the same mistake.)

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