$A$ quantity $P$ is related as $P = X^{-2}Y^{-3/2}Z^{2/5}$, where $X, Y, Z$ are independent parameters which have fractional errors of $0.1, 0.2$ and $0.5$ respectively in measurement. The maximum fractional error in $P$ is

In the density measurement of a cube,the mass and edge length are measured as $(10.00 \pm 0.10) \, kg$ and $(0.10 \pm 0.01) \, m$ respectively. The error in the measurement of density is

What is called as relative error? Define fractional error.

If $Z = \frac{A^{2} B^{3}}{C^{4}}$,then the relative error in $Z$ will be

$A$ physical quantity $A$ is dependent on four other physical quantities $p, q, r,$ and $s$ as given by the relation $A = \frac{\sqrt{pq}}{r^2s^3}.$ If the percentage errors of measurement in $p, q, r,$ and $s$ are $1\%, 3\%, 0.5\%,$ and $0.33\%$ respectively,then the maximum percentage error in $A$ is .......... $\%$.

What is error in measurement? What is mistake in measurement?