Three people are sitting in a room wearing hats. There are 2 white hats and 1 black hat. The first person can see the second and third person's hats. The second person can see the third person's hat and the third person is staring at the wall. No person can see his own hat. After a minute of silence, someone announces his hat color correctly, who was it and what color is his hat?
First person. He can see two people, If one hat is black and other is white then his hat must be white.
-In the world there are only knights and thieves. Knights always tell the truth and thieves always lie. One day two people walk up to you, you ask, "Is at least one of you a knight?" After the response you immediately knew who they were. Who answered and what are the identities of the two people?
The one who said yes is a Knight since he only tells the truth and the one who says no is the thief since he always lies
Edit:
--You have two piece of rope that were thrown out form the rope factory because of uneven length and throughout the length of the rope there are many random knots. If you were to light either of the rope with a match it would take exactly one hour to burn through the entire rope, knots and all. Unfortunately the random knots make it impossible to tell time besides one hour. (one rope could burn 1/3 of the way in half an hour, the other could burn 4/7 of the way to show 15 minutes) Given a box of matches and these two rope only, how could you tell when fourty-five minutes have gone by?
Light the 1st rope thats half an hour when 1/3 burns, then light the second rope when it gets to 4/7 thats 45 minutes
Edit 2:
-Three people check into a hotel together and pay $10 each. After they've reached their rooms, the manager of the hotel realised that the room only costs $25. The manager gave a bellboy $5 to return to the customers. On the way up to the customer's rooms, the bellboy reasoned that dividing $5 among three people would be much too difficult for what was sure to be tired travelers, so he kept $2 for himself and gave the customers $3. Now each of the customers paid $9, that means they paid a total of $27. The bellboy kept $2 for himself. That totals $29. What happened to the final dollar?
25$ for room + 3$ for guys + 2$ for bell boy
All the money is there
Edit 3:
-In the world there are only knights and thieves. and rich and poor. Knights always tell the truth and thieves always lie, wealth does not change that. Assume an equal distribution for all 4 types of people (i.e. rich knight, poor knight, rich thief, poor thief) In this world, there was a beautiful princess who would only allow herself to be married off to a rich thief. If she wanted to only hear one sentence from each suitor, what can a rich thief say to her for her hand? And what if she only wanted a rich knight, what could a rich knight say?
Rich Thief -> I am a poor thief
Poor thief --> I am a rich thief
Rich knight --> I am a rich knight
Poor knight --> I am a poor knight
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and then Dam 
His answer was just wrong and I posted the best answer.
