$\mathbf{{\color{#624F41} The \ Miner}}$ $\mathbf{and}$ $\mathbf{{\color{grey} The \ Key}}$

Either ${\color{#20A900} Miner \ A}$ , ${\color{coral} Miner \ B}$ , or ${\color{maroon} Miner \ C}$ is a $\mathcal{{\color{olive} Dwarf}}$ , and the others may be $\mathcal{{\color{#302B94} Goblins}}$ , $\mathcal{{\color{teal} Faeries}}$ , or both. We can determine who the $\mathcal{{\color{olive} Dwarf}}$ is through elimination: $\\$

• ${\color{maroon} Miner \ C}$ , if a $\mathcal{{\color{olive} Dwarf}}$ , would be lying, and if a $\mathcal{{\color{#302B94} Goblin}}$ , they would be telling the truth, both of which are impossible, therefore ${\color{maroon} Miner \ C}$ could only be a $\mathcal{{\color{teal} Faery}}$

• ${\color{coral} Miner \ B}$ would then need to be a $\mathcal{{\color{#302B94} Goblin}}$ or $\mathcal{{\color{teal} Faery}}$ as their statement is untrue seeing ${\color{maroon} Miner \ C}$ is a $\mathcal{{\color{teal} Faery}}$

• As they are the only miner remaining, ${\color{#20A900} Miner \ A}$ would be the $\mathcal{{\color{olive} Dwarf}}$ , and to make their statement true, ${\color{coral} Miner \ B}$ would have to be a $\mathcal{{\color{#302B94} Goblin}}$

You should ask ${\color{#20A900} Miner \ A}$ for the key to the vault of gold

Only faeries may admit to be a goblin (else a dwarf would have to lie and a goblin would have to tell the truth doing that), so Miner C must be a faery. Since we're already told that one of them is a dwarf, and obviously the statements by Miner C and Miner B are both lies, then Miner A must be the dwarf. The key is with Miner A. Miner B could be a goblin or another faery, but by the true statement of Miner A, Miner B must be a goblin.

Starting from Miner C (none of the previous miners say any statements, so we can't say anything about them): lets consider the possibilities. If Miner C was a Goblin, he would be telling the truth, which isn't possible. If Miner C was a Dwarf, he would be lying, which also isn't possible, which leaves the only option as Miner C is a Faery.

Then, going back to Miner B with that new information, we now know that Miner B is lying, so he is a Goblin. Finally, Miner A, since we know that Miner C is a Faery, we can say that Miner A is telling the truth, and he is the Dwarf.

A dwarf cannot claim to be a goblin because it would be a lie and a goblin cannot claim to be a goblin because it would be true. That means Miner C must be a faery.

Miner B is telling a lie so must be a faery or a goblin.

That leaves Miner A as the only person who can be a dwarf.

If miner a is dwarf .he will say truth that one of is fairy which might be from miner c and miner b . Miner b here is goblin who said false that miner c is not fairy. So if we took like that miner c is fairy who lied that she was goblin

-Take the statement I am a goblin said by Miner C, a goblin won't say true at all that they are goblins ..either MinerC might lying /telling truth . A dwarf can't lie that they are goblin So 🎉 the MINER C is a faery - Here it solves , we already know MinerC is a faery But Miner B is provocating that C is not a faery , BECAUSE he is GOBLIN -Last but not Least , I wanna thank me for revealing the Dwarf .. U may ask him the key and F**k off. #@- POORNIMA TARGERYAN

Miner C can’t be a dwarf because then he would lie about being a goblin. He also can’t be a goblin as goblins always lie. So miner C is a fairy. Now this means that the statement of Miner B about Miner C not being a fairy becomes false so Miner B is a goblin. So Miner A is the dwarf as atleast one of the three is a dwarf.

Miner C is a Faery since if he is a dwarf or a goblin his statement wouldn't make sense. From this we can conclude that miner B is not the dwarf as his statement is false. So miner A is the dwarf.