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IMSO 2012 - Mathematics - Essay Question 7

IMSO Maths · IMSO 2012 - Mathematics - Essay

Question 7

A says: “I ate it.”
B says: “The one who ate it was either C or D.”
C says: “Exactly one of A and B is lying.”
D says: “C did not eat it.”
If exactly two of them are lying, who ate it?