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You have n balls identical in size and appearance but 1 is an odd weight (could be either light or heavy). You have a set scales (balance) which will give 3 possible readings: Left = Right, Left > Right or Left < Right ...
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Prove that if n>2,then there exists a prime p satisfying n>p>n! ...
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find x such that 1+ 1/1+ 1/1+ =x . . 1+ 1/x ...
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1.Prove that the number between a pair of twin prime numbers is always divisible by 2. Twin prime numbers are prime numbers whose difference is 2. ...
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There is a machine with 8 toys in it that each cost between 25 cents and 2 dollars, with each toy being 25 cents more expensive than the next most expensive one. Each time Sam presses the big red button on the machine, the ma ...
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Here is a very good trick to find a pythagorian triplet: 1.Square a number. 2.Add 1 to that number and subtract 1 from it 3.Divide the two numbers by 2 4.All the three numbers will give you a pythagorian triplet For eg: 1. 52 ...
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There is a n-sided regular polygon having n number of vertices. I randomly choose a line segment joining any 2 vertices of the polygon. What are my Chances that it is a diagonal of the polygon. *Image* I hope that the questio ...
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Just like 2 is the smallest natural number which can be represented a sum of two cubes in one way. i.e. - 2 = 13 + 13 Find the smallest natural number representable in two different ways as a sum of two cubes. ...
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In this page: http://en.wikipedia.org/wiki/Proofs_of_Fermat%27s_little_theorem In the Second method proof that is given there: Can someone visit the page and tell me why should it be so that when a,2a,3a,.....(p-1)a when divi ...
