Joy of Problem Solving

# A preview of "Truth Tellers and Liars"Join Brilliant Premium

In these quizzes, you'll learn how to use logic skills to deduce fact from fiction.

For example, Tony lives on an island of knights (who always tell the truth), knaves (who always lie), and jokers (who do both). If Tony says "I am a knave", then what is he?

How many of the sentences below are true, assuming that they are logically consistent?

$\begin{array}{|2|} \hline {\text{ One of these sentences is false. }} \\ {\text{ Both of these sentences are false. }} \\ \hline \end{array}$

There is one treasure and one poison. If at least one of the messages is lying, where is the treasure?

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