Interview Puzzle

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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At a party, four people played a game. Three of them sat one behind the other, so that Abe saw Bill and Cal, and Bill only saw Cal, who sat in front and saw nobody else.
Dave had 5 hats which he showed to his three friends. Three of the hats were blue and two were red.
Now Dave placed a hat on the head of each of his three friends, putting aside the remaining two hats.
Then he asked Abe what color his hat was.
Abe said he couldn’t tell.
Bill was asked the color of his own hat, but he didn’t know for certain either.
Cal, though he couldn’t see any hat at all, gave the right answer when asked what color his hat was.
Do you know what color Cal’s hat was and how he reasoned to find out the correct answer?
Color of Cal’s hat?View SolutionSubmit Solution 244 views
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Sasha is thinking about investing 20.000 dollars in a company, which offers him a fiveyear plan of divident payment at the end of each year: At the end of the first year, he will get 2000 dollars. At the end of the second year, he will get 4000 dollars. At the end of the third year, he will get 6000 dollars. At the end of the fourth year, he will get 6000 dollars again, and at the end of the last year of payment plan, he will get 5000 dollars.
What is the maximum interest rate a bank could offer to Sasha, so that the investment in the company is more payable for him than making a deposit in a bank?View SolutionSubmit Solution 2395 views
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Two Arabs, one of whom is carrying 5 slices of bread, and the other one carrying 3 slices of bread, meet up with a wealthy but hungry passenger in the desert. All 3 of them eat together and everybody eats the same amount of food.The passenger pays 8 coins and continues on his way.
How are the two Arabs supposed to split the money so each of them gets a fair amount?View SolutionSubmit Solution 3406 views
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