The Mythical Gold-Eyed Dragon

Logic Level 2

You are in the bottom level of the Dragon's Cave, after years spent searching for the mythical gold-eyed dragon. You know there is only one gold eyed dragon here. You enter the central room, but just as you step in, your torch is extinguished and the room plunges into darkness. As your eyes adjust to the light, you notice three silhouettes. Hesitantly, you ask them "Do you have gold eyes?"

The first dragon says "Yes."

The second dragon says "No."

The third dragon says "No."

At a loss, you ask the dragons "Do you have blue eyes?"

The first dragon answers "Yes."

The second dragon answers "Yes."

The third dragon answers "No."

You also know that red-eyed dragons always lie, blue-eyed dragons always tell the truth, and the gold-eyed dragon can do either. Which dragon has gold eyes?

Edited for clarity

The first dragon The second dragon The third dragon It is impossible to answer this question.

Antimatter Bee by Antimatter Bee , 16, USA

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2 solutions

Antimatter Bee
Dec 31, 2020

The answer must be the third dragon. If the third dragon was a red-eyed dragon, then it would be telling the truth by saying it did not have gold or blue eyes, creating a contradiction as red-eyed dragons cannot tell the truth. If the third dragon was a blue-eyed dragon, then it would be lying when it says it does not have blue eyes, creating a contradiction. Therefore, the third dragon must be the gold-eyed dragon to avoid a contradiction.

1 Helpful 0 Interesting 0 Brilliant 1 Confused
Saya Suka
Jan 3, 2021

Tbh, if we go strictly by the wording of "the gold-eyed dragon can do either", all of them could be gold-eyed dragons. The first could be truthful then lying Goldie One, the second could be lying all the way Goldie Two and the third could be lying then be truthful Goldie Three. But if we assume all three are of different kind of dragons, then you can answer it correctly. The First is clearly lying in at least one occasion, since it can't be both Goldie and Blue simultaneously. Still, no indication whether First is Goldie or Red, but it clearly isn't Blue. Next, if we assume both what Second said to be completely truthful, then it could truly be Blue talking, but a Red definitely won't deny being a Goldie as that would count as Red being truthful, which it can never be. Lastly, Third denying to be either Goldie or Blue, if we take both denials as truths, then it can only be Red, but as a Red Third cannot deny truthfully as we assumed before, so this is a contradiction. Knowing neither Second nor Third can be Red, then Red must be First. Blue as truth-telling dragon can never deny being one or it will have to be contradictory to its own nature, so Blue must be Second. That leaves us with with Third as Goldie.

In conclusion, we have
1) First Dragon : Golden-eyes or Red-eyes
Gold eyes? Yes ---> An impossible lie by Blue
Blue eyes? Yes ---> Possible lies by Gold or Red


2) Second Dragon : Golden-eyes or Blue-eyes
Gold eyes? No ---> An impossible truth by Red
Blue eyes? Yes ---> A possible truth by Blue or a possible lie by Gold

3) Third Dragon : Golden-eyes ONLY
Gold eyes? No ---> An impossible truth by Red
Blue eyes? No ---> An impossible lie by Blue

Since there's only ONE of The Mythical Golden-Eyed Dragon in existence (or at least the only one that dwells in that particular lair), it must be the third one as that answer set is uniquely his.

0 Helpful 0 Interesting 0 Brilliant 0 Confused

I saw your solution, and edited it to say there is only 1 gold-eyed dragon. Hope this clears it up.

Antimatter Bee - 5 months, 1 week ago

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