The general solution of the differential equation $\frac{d y}{d x}+\frac{y}{x}=x^2$ is

The number of ways in which 6 men and 4 women can be seated around a table, so that a particular man and a particular woman never sit adjacent to each other is

Match the following.

(Take the relative strength of the strongest fundamental forces in nature as one)

A physical quantity $X$ is given by $X=\frac{2 k^3 l^2}{m \sqrt{n}}$. The percentage errors in the measurements of $k, l, m$ and $n$ are $1 \%, 2 \%, 3 \%$ and $4 \%$ respectively. The value of $X$ is uncertain by