Previous in Forum: Danger! I See- Borg Ahead   Next in Forum: Wisest Son
Close
Close
Close
22 comments
Guru

Join Date: Oct 2006
Location: 44.56024"N 15.307971E
Posts: 6004
Good Answers: 240

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?------

__________________
"A man never stands so tall as when he stoops to help a child." "Ignorance does not consist of what a person does not know,but of things he knows that just aint so"
Login to Reply
Pathfinder Tags: Who are the liars?
Interested in this discussion?
You can "subscribe" to this discussion to be notified of new comments.
Click on the Subscribe menu at the top of the page.

Comments rated to be Good Answers:

These comments received enough positive ratings to make them "good answers".

Comments rated to be "almost" Good Answers:

Check out these comments that don't yet have enough votes to be "official" good answers and, if you agree with them, rate them!
2
Guru
Hobbies - DIY Welding - Wannabeabettawelda

Join Date: May 2007
Location: Annapolis, Maryland
Posts: 6845
Good Answers: 399
#1

Re: Who are the liars?

09/03/2021 8:23 PM

Definitely Joe.

Login to Reply Good Answer (Score 2)
Guru
Technical Fields - Technical Writing - New Member Engineering Fields - Piping Design Engineering - New Member

Join Date: May 2009
Location: Richland, WA, USA
Posts: 20860
Good Answers: 774
#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.

__________________
In vino veritas; in cervisia carmen; in aqua E. coli.
Login to Reply
Guru

Join Date: Dec 2008
Location: nj,usa
Posts: 1218
Good Answers: 32
#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!

__________________
CARPE CRUSTULORUM!
Login to Reply
Guru

Join Date: Oct 2006
Location: 44.56024"N 15.307971E
Posts: 6004
Good Answers: 240
#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.

__________________
"A man never stands so tall as when he stoops to help a child." "Ignorance does not consist of what a person does not know,but of things he knows that just aint so"
Login to Reply
Guru

Join Date: Oct 2006
Location: 44.56024"N 15.307971E
Posts: 6004
Good Answers: 240
#5

Re: Who are the Liars?

09/04/2021 6:56 AM

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

__________________
"A man never stands so tall as when he stoops to help a child." "Ignorance does not consist of what a person does not know,but of things he knows that just aint so"
Login to Reply
Guru

Join Date: Apr 2010
Location: About 4000 miles from the center of the earth (+/-100 mi)
Posts: 8725
Good Answers: 994
#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

Login to Reply
Guru

Join Date: Apr 2010
Location: About 4000 miles from the center of the earth (+/-100 mi)
Posts: 8725
Good Answers: 994
#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

Login to Reply
2
Guru

Join Date: Aug 2005
Location: Hemel Hempstead, UK
Posts: 5030
Good Answers: 272
#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.

__________________
We are alone in the universe, or, we are not. Either way it's incredible... Adapted from R. Buckminster Fuller/Arthur C. Clarke
Login to Reply Good Answer (Score 2)
Guru

Join Date: Dec 2008
Location: nj,usa
Posts: 1218
Good Answers: 32
#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!

__________________
CARPE CRUSTULORUM!
Login to Reply
Guru
Popular Science - Cosmology - Let's keep knowledge expanding Engineering Fields - Retired Engineers / Mentors -

Join Date: Dec 2006
Location: North America, Earth
Posts: 4313
Good Answers: 104
#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.

__________________
“I would rather have questions that can't be answered than answers that can't be questioned.” - Richard Feynman
Login to Reply Off Topic (Score 6)
Guru

Join Date: Oct 2006
Location: 44.56024"N 15.307971E
Posts: 6004
Good Answers: 240
#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...

__________________
"A man never stands so tall as when he stoops to help a child." "Ignorance does not consist of what a person does not know,but of things he knows that just aint so"
Login to Reply Score 1 for Off Topic
Guru

Join Date: Aug 2005
Location: Hemel Hempstead, UK
Posts: 5030
Good Answers: 272
#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.

__________________
We are alone in the universe, or, we are not. Either way it's incredible... Adapted from R. Buckminster Fuller/Arthur C. Clarke
Login to Reply
Guru

Join Date: Oct 2006
Location: 44.56024"N 15.307971E
Posts: 6004
Good Answers: 240
#13
In reply to #12

Re: Who are the Liars?

09/06/2021 10:28 AM
__________________
"A man never stands so tall as when he stoops to help a child." "Ignorance does not consist of what a person does not know,but of things he knows that just aint so"
Login to Reply
Guru

Join Date: Aug 2005
Location: Hemel Hempstead, UK
Posts: 5030
Good Answers: 272
#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:-