Question

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_____

Answer 1

Julia and Jack

Step-by-step explanation:

The statement says Jack lies as an absolute and when jack speaks he says "if you round up Jane, Joey, and John one is a liar" which implies none of them are liars.

And that gives you the three people who tell the truth and leaves Jack and Julia as the liars.

You can reason it by taking a statement that certainly said one person is lying or telling the truth and you can check to see if it makes sense with the rest assuming they are telling the truth.

We can start with Joey (who said Jack was a liar). That means we know one liar and somebody is telling the truth. Lets look at Jack's statement and can conclude that Jane and John also weren't liars (since that would've made him truthful).

Now I know one liar and 3 that are speaking the truth. That leaves Julia as the second compulsive liar.

Therefore, Jack and Julia are the compulsive liars.

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