Queen Hypatia arrives at the entrance to an enchanted labyrinthine forest. The tree at the entrance tells her of the guardian dog that would help her find her way through the forest. The tree warns her of the peculiarity of the dog - it has three heads, 101 – which was always truthful, 102 – which was always untruthful and the 103 – which sometimes lied and sometimes spoke the truth.
Sure enough, as she marched into the forest, she encountered the three-headed guardian dog. The wise Queen Hypatia simply asks the dog. "Which head is the middle?" The heads from left to right replied 101, 103 and 102 respectively, giving her the answer she wanted, and with the help of the guardian dog, got out of the labyrinthine forest safely.
Which dog head was in the middle?
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Explanation:
103
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