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Six boys and six girls sit in a row randomly. Find...

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Divide 32 into four parts which are in A.P. such that...

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Prove that: `int_0^(pi//2)log|tanx+cotx|dx=pi(log)_e2`

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Find the greatest and least values of `(sin^(-1)x)^2+(cos^(-1)x)^2`

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Find the remainder when `7^(98)` is divided by 5.

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Find the number of positive integral solutions of `x y z=21600.`

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A bag contains 5 red marbles and 3 black marbles. Three...

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Prove that the least perimeter of an isosceles triangle in which...

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