Solve the following logic puzzles that relate to inhabitants of the islandof knights and knaves created by Smullyan, where knights always tell the truth and knaves alwayslie. You encounter two people, A and B. Determine, if possible, what A and B are if they addressyou in the ways described. If you cannot determine what these two people are, can you draw anyconclusions

Answer:

Person A is knave

Person B is knight

Explanation:

P.S - The exact question is -

Given - A says '' The two of us are both knights '' and B says '' A is knave ''

To find - Solve the following logic puzzles that relate to inhabitants of the island of knights and knaves created by Smullyan, where knights always tell the truth and knaves always lie. You encounter two people, A and B. Determine, if possible, what A and B are if they address you in the ways described. If you cannot determine what these two people are, can you draw any conclusions.

Proof -

Given that the statement is -

A says '' The two of us are both knights '' and B says '' A is knave ''

Now,

There are 2 options for A -

Either A is knight or A is knave

If A is knight -

As knight always tell the truth, So, A is telling truth.

A says The two of us are both knights

It means both A and B are knights

It means both are telling the truth

But B says A is knave and it is false.

So, A can not be knight.

If A is knave -

It means B is knight

It means B says truth

B says A is knave and it is the truth.

So,

we get

A - knave

B - knight

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