Dragon Eyes #4

Logic Level 2

After many days of traveling, you arrive in a big city. Here, you know of four different kinds of dragons. There are red-eyed dragons, blue-eyed dragons, green-eyed dragons, and purple-eyed dragons. A quick table is provided.

Red: Always lies	Blue: Always tells the truth
Green: Can either lie or tell the truth	Purple: Truthful, but their answers are inverted. "Yes" becomes "No" and vice versa

You see five dragons standing in a line, but it is pitch black and you cannot discern their eye colors. You ask each of them "Do you have red eyes?" Their answers are given from left to right:

Dragon A: "Yes. I do not have purple eyes."

Dragon B: "No. I have blue eyes."

Dragon C: "No. I have blue eyes."

Dragon D: "Yes. I'm very proud of my red eyes."

Dragon E: "No. And I have lovely purple eyes."

You think for a second, before asking "Well then. Does the dragon next to you have red eyes?"

Dragon A: "For B, no. And I know for a fact that E doesn't either."

Dragon B: "Yes, C does. Ruby red, in fact. A has blue eyes."

Dragon C: "D? No. But B definitely does."

Dragon D: "Oh, E totally has them. And so does B!"

Dragon E: "D? Yes. And A has the greenest eyes I've ever seen!"

Using what you know, which dragons are lying/have red eyes?

Note: If a dragon tells the truth, they tell the truth for all parts of that statement and vice versa.

IMPORTANT: DO NOT COUNT GREEN-EYED OR PURPLE-EYED DRAGONS IN YOUR FINAL ANSWER!

1 2 3 4 5 This question is impossible to solve. None: they have gold eyes and this question is pointless.

3 solutions

Saya Suka
Mar 31, 2021

	Red Self?	Claims	Against	Eye colour
A:	Y , N-purple	N-Red B & E	D's claims	(5) Purple [ ff ]
B:	N , blue	Red C, Blue A	C (mutually), E's claims	(3) Red [ FF ]
C:	N , blue	Red B, N-red D	B (mutually)	(4) Blue [ TT ] OR Green [ FT ]
D:	Y , red	Red B & E	A's claims, E (mutually), B	(1) Green [ FT ]
E:	N , purple	Red D, Green A	D (mutually), B's claims	(2) Red [ FF ]

I tried to make a table like this, but I couldn't figure out how. :/ Hence the wordy explanation. This is much more concise (and easier on the eyes).

Antimatter Bee - 2 months, 1 week ago

Well structured and very readable !

Agent T - 1 month, 1 week ago

Agent T
May 2, 2021

blue eyed dragon

D seemed to me as a lil bit confused draggie (maybe got hit by something ) .

B was lying throughout

C wasn't the impostor

A ,are you okay?

E was definitely lying

Conclusion: b and e have red eyes.

red eyed draggiee

P.s.sry I was too lazy to write down how I actually got the ans coz I did it mostly in my head and don't have any structured ans . BTW the posted explanation is not that far from my original thinking:P Also,awesome riddle!

Agent T - 1 month, 1 week ago

Antimatter Bee
Mar 31, 2021

There are two lying/red-eyed dragons.

First, A and D cannot have red eyes, or they would be truthful and create a contradiction. Similarly, neither of them have blue eyes.

Then, B and C contradict each other and cannot both have red eyes. So, one has red or green eyes, and the other has blue or green eyes.

Afterwards, E must be lying about having purple eyes.

Notice the statement of B again, and how they say A has blue eyes. However, because A said "yes" to having red eyes, they cannot have blue eyes either. So B cannot have blue eyes either.

Next, look at E. E's statement in the first section is false, because a purple-eyed dragon would not be able to say they have purple eyes. Therefore, E does not have either blue or purple eyes. Their second statement is also false, because it has already been established that D cannot have red eyes.

Then, C's second statement must be true, otherwise D would have red eyes, but dragons with red eyes cannot tell the truth, creating a contradiction.

Knowing that E is lying about A's eye color, and A already cannot be red-eyed or blue-eyed, one can determine that Dragon A must have purple eyes. The conclusion is then that B and E must both have red eyes, because purple-eyed dragons invert their truthful statements.

Finally, D would then be green-eyed, able to tell the truth or lie.

In summary, A has purple eyes, B has red eyes, C is a blue-eyed or a green-eyed dragon, D has green eyes, and E has red eyes.

Dragon Eyes #4

3 solutions

Conclusion: b and e have red eyes.

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