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?
Julia & Jack
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If John is telling the truth he says "If Julia is telling the truth, then Jane or Joey do as well." that would make 4 truth tellers so he is a lier. Jane told the truth. that makes Julia a truth teller. we know John is a lier so jack is telling the truth that leaves Joey and John to be the Liers.