Who is the mole? - ProProfs Discuss

Who is the mole?

Three spies: Three spies, suspected as double agents, speak as follows when questioned: Albert: “Bertie is a mole. Bertie: “Cedric is a mole.” Cedric: “Bertie is lying.” Assume moles lie, other agents tell the truth, and there is just one mole among the three.

Asked by Anou, Last updated: Nov 23, 2023

kevintakaria

Kevintakaria

Bertie is the most-likely mole. Imagine this as a true and false statement. The only pair of 2 being true and one being false is with Albert and Cedric being true while Bertie being false. Else if Albert is true and Bertie is true, this cannot be for it contradicts the first statement: Albert's(clue 1).

If Bertie and Cedric are true, this will be ambiguous for it will create an internal loop, leaving one of them must be false, which most likely Bertie(clue 2). And if Albert and Cedric are true, then it will be Bertie, for both clues are leading to it. This satisfies the 2 true and 1 false statement.

harrz

Harrz

But Cedric is denying everything then that means that he is the one because if you defend your self your most likely guilty especially if the other two are throwing the blame and Cedric knows what Bertie said most likely if so then how

Nero

Nero

The real question is thatwe assume of being only one mole, but how do they really know that someone else is a mole since they throw their blame on the others?Like why does Albert accuses Bertie, Bertie accuses Cedric and Cedric denying Bertie's sentence. That would mean that Cedric is the only one who was defending himself while the other two kept on throwing the blame to get rid of accusations.

If I go on Cedric Statement then Bertie's statement becomes nule and the only Valid Answers remain of Albert's and Cedric and that would cover the requirement of "Assuming that moles lie, other agents tell the truth, and there is just one mole among the three"

But.... if we go back on my previous question I'd say that both Albert and Bertieare the moles. Albert blames one of the moles just to get clean and provide more info, while Bertie tries to do the same trick with Cedric, but fails since Cedric is smarter and knows himself not being the mole.

Anou

Bertie