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Find all integers 'n' such that (7n-12)/2^n + (2n-14)/3^n + (24n)/6^n = 1 ...
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Q1} How many ordered triples (a,b,c) of positive integers are there such that none of a,b,c exceeds 2010 and each of a,b,c divides a+b+c ? Q2} Let n be a positive integer. Prove that there are no positive integers x and y suc ...
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Determine all distinct triangles having one side of length 6,with the other two sides being integers ,and perimeter numerically equal to the area. ...
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Let H be a finite set of positive integers none of which has a prime factor greater than 3.Show that the sum of the reciprocals of the elements of H is smaller than 3. ...
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There are to points A and B on the earth surface at equator separated by 1000km.An aeroplane flying at a constant speed of 500km/h goes from A to B directly and then B to A directly. How much will it take in each case. ...
