Logic Puzzles

There is a bag with 20 black and 13 red balls. Your task is to pick two balls in succession. If the balls are the same colour then you remove them and replace them with a black ball. If the balls are of different colour then you remove them and replace them with a red ball. What is the colour of the last ball ?
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You have two identical length wires which take an hour to burn. But, they do not burn at the same speed. How do you measure 45 minutes based on the burning?
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A very intelligent and kind Traveller was trapped by a King, King wants to check his intelligence and kindness at the same time.
So he sets up a scenario where he asks traveller to play the “Sword Killing” game.
In this game ’N’ number of people have to stand in a circle in an order 1 to ’N’ and someone of them has a Sword, so when the game starts the person with the sword kills the left adjacent person and passes the sword to the next person, next person do the same again and this keeps on going until only one person survives at the end.
For example: – At starting, Person at 18th position have the sword, and the game starts, then the 18th position person kills 19th position person and passes sword to 20th position person, 20th person kills 21st person and passes sword to 22nd person and so on till only one person survives.The twist King makes is that, he make the traveller stand at 489th position in the circle, and asks traveller to choose any number of people he wants to make stand in the circle, where traveller’s position will be fixed (489th) and also gave him option for starting this game from any position (Sword Initially with this position) . The basic rules for the game still remains same.
Given:
==>> SP (Starting Position): – Position of person the game starts from.
e.g. if SP=103 >> At starting Person at 103th position have the sword, and the game starts in a way that he kills 104 and passes it to 105 and so on till only one survives, which in this case should be 489th position person.
==>> N : Total no. of people standing in the circle at the starting. N includes traveller as well.
For e.g. if N=500, it includes person standing at 489(or the traveller himself).
It is also understandable that N>=489
==>> Traveller is very Kind and wants to kill least no. of people as possible. Although he is kind but he prioritises his life over others.
i.e. he wants to save himself, but by killing minimum no. of people.So you need to determine what would be value of N and SP, if Traveller wants to prove his kindness and intelligence.
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A woman goes to the counter and puts a book before the man there. The man says that the price is 13. The lady pays the money and goes away without taking the book. The man saw it and did not call the lady.
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Given six distinct colors, in how many unique ways can a sixfaced cube be painted such that no two faces have the same color?
Note: The mixing of colors is not allowed.
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In a gettogether i counted the number of handshakes that were exchanged. There were 28 altogether.
Can you tell me how many how many guests were present ?View SolutionSubmit Solution 282 views
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It come across as flat,
But theirs more to it than its surface;
You climb its mountains from top to bottom,
And fall from bottom to top.
What is it ?
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