Syntel Company Numerical Ability Geometry

In a right angled triangle ABC angle B = 90 , BM is the median to AC , then AB2 + BC2 (in terms of BM)

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Syntel Other Question

A cistern will be filled in 9 hrs, but becoz of an outlet it is filled in 10 hrs, if the cistern is filled, then how much time the outlet takes to empty the cistern. 5 mangoes + 4 oranges = 7 mangoes + 1 orange. Find the ratio of mango to orange.