Tiger Bait 9
You are faced with 4 doors in a row. One of them leads to gold. Two of them lead to tigers. The remaining door leads to a tiger, an orc or a dragon.
The statement on the door leading to gold is true. The statement on any door leading to a tiger is false. The statement on any odd-numbered door leading to an orc is true. The statement on any even-numbered door leading to an orc is false. Nothing is known about doors leading to dragons.
Can you solve this WITHOUT resorting to the brute force method of enumerating and eliminating all possible answers?
Door 1. If gold is behind door 3, then no door leads to a dragon.
Door 2. If gold is behind door 4, then no door leads to an orc.
Door 3. No door leads to an orc or a dragon.
Door 4. A tiger is behind door 3.
Which door leads to the gold? Does any door lead to an orc or a dragon? If so, which one?
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