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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. ”Assuming that moles lie, other agents tell the truth, and there is just one mole among the three.  





A. Bertie
B. Albert
C. Cedric
D. No one

This question is part of Try our detective riddles
Asked by Anou, Last updated: Apr 04, 2020

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3 Answers

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Answered Aug 08, 2018

Bertie, 100% proven and indisputable.

Consider the criteria given:
1. The mole's statement must be false.
2. All agents' statements must be true.
3. Only one of the three is the mole.

Now consider each of the scenarios:
Albert is the mole. Bertie and Cedric are telling the truth.
Bertie is the mole. Albert and Cedric are telling the truth.
Cedric is the mole. Albert and Bertie are telling the truth.

The first scenario cannot be true, as Bertie says that Cedric is the mole and Cedric says that Bertie is lying. They both cannot be telling the truth. Effectively eliminates this scenario.

The third scenario cannot be true, as Albert says that Bertie is the mole and Bertie says that Cedric is the mole. Only one person can be the mole. Not this one.

The second scenario fits: Albert says that Bertie is the mole. Cedric says that Bertie is lying about his statement, that Cedric is the mole. It fits all the criteria and therefore is true.

 

abc

Abc

Answered Apr 08, 2017

Albert: “Bertie is a mole.” means that if A is not a mole, then B is.
Cedric: “Bertie is lying.” means that if C is not a mole, then B is (because only moles lie).
There's only one mole, so A and C can't both be lying, so since they're saying the same thing, B is a mole.
 

John Smith

John Smith

Answered Mar 11, 2017

Bertie
 1

John Adney

I cant understand this question, it is dame tricky

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