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Consider a n*n chessboard. A person moves along the lines of the chessboard such that the sum in the y axis is greater than or equal to the sum in the x axis. Find the number of ways of going from one corner to the other corn ...
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*Image* Find the mistake.... ...
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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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*Image* Circle has radius 2 units. help me finding the area! ...
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Start with the set S - { 3 , 4 , 12 } . In each step , you may chose two numbers " a " and " b " from S and replace " ( . 6 a - . 8 b) " by " ( . 8 a + . 6 b ) " . Can you form a set P - { 4 , 6 , 12 } by finitely many steps ...
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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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Start with the set S - { 3 , 4 , 12 } . In each step , you may chose two numbers " a " and " b " from S and replace " ( . 6 a - . 8 b) " by " ( . 8 a + . 6 b ) " . Can you form a set P - { 4 , 6 , 12 } by finitely many steps ...
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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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find x such that 1+ 1/1+ 1/1+ =x . . 1+ 1/x ...
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find x such that 1+ 1/1+ 1/1+ =x . . 1+ 1/x ...
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Prove that if n>2,then there exists a prime p satisfying n>p>n! ...
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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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If 0 = 0 Is 00 = 1 and guys I have some doubt about n/0 where n ≠0 Why is it equal to ∞? Please guys, can you explain this to me in a simple way? [7] [7] [7] [7] [7] [7] ...
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In an A.P. the fourth and the seventh terms are 17 and 23 respectively. Now find 'd' and 'a'. ...
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On a chessboard, the positive real numbers are entered into the squares in such a way that every number is the arithmetic mean of its neighboring squares . Is this possible? If possible then prove it. ...
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Is 0 = 0? ...
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Is 0 = 0? ...
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Is 0 = 0? ...
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Is 0 = 0? ...
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*Image* Please discuss the questions Got the answer of Q3. as 837 Q4. {1,2,4} and Q6. 43 ...
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*Image* Please discuss the questions Got the answer of Q3. as 837 Q4. {1,2,4} and Q6. 43 ...
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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 ...
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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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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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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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Show that the number 510-310 is divisible by 11 ...
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Show that the number 510-310 is divisible by 11 ...
