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These problems are from a very large set of questions about Liars who always lie about everything, and Knights who always tell the truth. Some questions also involve Knaves - people who strictly alternate between lying and telling the truth. (They are of course all indistinguishable from one another by outward appearance, and you must use logic to determine who's who.)
Difficulty: 3 of 5 Latest: Two Family Travail Rating: 4.00
There are precisely three brothers in the Pearson family and exactly three brothers in the Turner family.
Three of these six men are Knights, who always tell the truth; and three are liars, who always speak falsely. Neither set of 3 brothers from the two families consist exclusively of liars.

They made the following statements:
  • Abner: "Both of my brothers are liars."
  • Benny: "Both of my brothers are knights."
  • Connor: "Abner and Benny are both liars."
  • Damian: "Connor and I are brothers."
  • Eldon: "Benny and I are brothers."
  • Freddy: "Eldon tells the truth."
  • Freddy: "Benny belongs to the Pearson family."
Determine the full names of the six men, and ascertain their types.
(Solution Posted, 2 Comments) Submitted on 2022-05-01 by K Sengupta   
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