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'Fiction in Wonderland' printed from http://nrich.maths.org/
"You eat more than I do," said Tweedledee to Tweedledum.
"That is not true," said Tweedledum to Tweedledee.
"You are both wrong," said Alice, to them both.
"Your are right," said the White Rabbit to Alice.
How many of the four statements were true?
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This problem is taken from the UKMT Mathematical Challenges.