Interview Puzzle

You want to boil a twominute egg. If you only have a threeminute timer (hourglass), a fourminute timer and a fiveminute timer, how can you boil the egg for only two minutes?
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How many cases do you need if you have to pack 112 pairs of shoes into cases that each hold 28 shoes?
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A person was prescribed to take two pills (tablets), one each, from the two bottles viz. Bottle A and Bottle B, daily. The tablets are exactly look alike.
The medicines have to be taken exactly one tablet from each bottle, neither less nor more, else the medicines will not be effective.
One fine day, the patient popped out one tablet from Bottle A, but while taking the tablet from bottle B, by mistake, two tablets spilled over. Now he has three tablets in his hand, and he can’t put back the extra tablet to Bottle B as all the tablets are identical in looks.
He has to ensure that he takes exactly one tablet from each of the bottles and at the same time he must avoid any wastage of the medicine. What He will do?
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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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