# Puzzle | Paradox Dragons

** Puzzle:** There are 3 dragons. One of them always speaks the truth, one always lies and one alternate between truth and lie. A series of conversation takes between Ram and the 3 dragons which lets you identify the nature of each dragon.

**Dragon 1:**“You may ask us one question, then you must guess which dragon is which.”**Dragon 2:**“He’s lying. You may get three questions”**Dragon 3:**“Oh no. It’s definitely one question”**Ram:**“What would the second dragon say if I were to ask it if the 3rd dragon had been lying when it agreed with the first one that I could ask only one question”**Dragon 1:**He’d say, “Yes, the 3rd dragon was lying”- Then Ram asked a second question addressing the three dragons, but they remained silent. The puzzle was solved, explain.

** Solution:** Based on the silence after Ram asked the second question, it can be inferred that asking of one question was true as said by Dragon 1. So Dragon 1 and Dragon 3 are speaking the truth for the first time. This raises two cases:

Dragons | Case 1 | Case 2 |
---|---|---|

Dragon 1 | Always speaks Truth | Column3 |

Dragon 2 | Always Lie | Always Lie |

Dragon 3 | Always speaks Truth | Lternates |

Now let’s analyse each case.**Case 1:** If this case is true, Dragon 1’s statement “Dragon 2 will say that Dragon 3 is lying” would have been a lie. If Dragon 1 lies, then Dragon 2’s statement would be “Dragon 3 is saying the truth”, but according to Case 1, Dragon 2 always lie and Dragon 3 always speaks the truth. These statements contradict with the case of Dragon 3 always speaking the truth.

**Case 2: **If this case is True, Dragon 1’s statement “Dragon 2 will say that Dragon 3 is lying” would be true. So Dragon 2’s statement would be “Dragon 3 is lying” which would be a lie. Hence Case 2 is correct.