Slit 69 into three parts such that they are in A.P. and the product of their smaller parts is 483.
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A pipe can fill a sump with water in 2 hours. Because of a leak, it took 2 2/3 hrs to fill the sump. The leak can drain all the water of the sump in
If a cylinder of radius 7 cm and height 9 cm is melted and constructed into a cone of the same radius, what will be the height of this cone?
A sum of money of Rs. 1000 is lent out in two parts in such a way that the interest on one part at 10% per annum for 5 years is equal to another at 5% for 10 years. Calculate the sum lent out at 5%.
If k is the largest possible real number such that p4+q4=(p2+kpq+q2)(p2-kpq+q2), then the value of k is
If the areas of two similar triangle are in the ratio 5 : 7, then what is the ratio of the corresponding sides of these two triangles?
Expand and simplify (x + 5)2 + (x - 3)2
If cos -4π/3 = x, then the value of x is