z and w are two nonzero complex numbers such that $$\,\left| z \right| = \left| w \right|$$ and Arg z + Arg w =$$\pi $$ then z equals

If $$p$$ and $$q$$ are the roots of the equation $${x^2} + px + q = 0,$$ then

The positive integer just greater than $${\left( {1 + 0.0001} \right)^{10000}}$$ is

The sum of integers from 1 to 100 that are divisible by 2 or 5 is :