Four chests are marked with statements. Only one chest contains treasure, and only one statement is true. Chest 1: 'The treasure is here.' Chest 2: 'The treasure is not here.' Chest 3: 'Chest 4 is empty.' Chest 4: 'Chest 2 is empty.' Which chest has the treasure?
Chest 2
Analyze the statements. Chest 1 says T is in 1. Chest 2 says T is not in 2. Chest 3 says 4 is empty. Chest 4 says 2 is empty. Notice Chest 2 and Chest 4 are directly related to Chest 2's contents. If the true statement is in Chest 3 ('Chest 4 is empty'), then Chest 4's statement ('2 is empty') must be false, meaning Chest 2 is NOT empty (i.e., treasure is in 2). Let's verify: if treasure is in 2, Chest 1 is false, Chest 2 is false ('is not here' is false), Chest 3 ('4 is empty' - if 4 is empty, it's true? Wait, we need exactly one true statement). Let's test Chest 2 holding the treasure: Chest 1 says T is in 1 (False). Chest 2 says T is not in 2 (False). Chest 3 says 4 is empty (If 4 is empty, this is True). Chest 4 says 2 is empty (False, because T is in 2). Thus, exactly one statement (Chest 3) is true, satisfying all conditions.
About this riddle
Logic riddles give you a few facts and ask what must be true. List what you know, cross out what cannot be, and see what is left.
Difficulty: Hard. More like this: Logic riddles with answers or try Einstein's Logic Grid for a different kind of puzzle.
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