The coefficient of $x^5$ in the expansion of $\left(2 x^3-\frac{1}{3 x^2}\right)^5$ is

Numerically greatest term in the expansion of $(5+3 x)^6$ When, $x=1$, is

The square root of independent term in the expansion of $ \left( 2x^2 + \frac{5}{x} \right)^5 $ is

The coefficient of $x^5$ in $\left(3+x+x^2\right)^6$ is