$A$ 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

$A$ physical quantity $y$ is represented by the formula $y = m^{2} r^{-4} g^{x} l^{-\frac{3}{2}}$. If the percentage errors in $y, m, r, l,$ and $g$ are $18, 1, 0.5, 4,$ and $p$ respectively,then find the value of $x$ and $p$.

$A$ wire has a mass $0.3 \pm 0.003 \text{ g}$,radius $0.5 \pm 0.005 \text{ mm}$ and length $6 \pm 0.06 \text{ cm}$. The maximum percentage error in the measurement of its density is (in $\%$)

$A$ physical quantity $Q$ is found to depend on observables $x, y$ and $z$,obeying the relation $Q = \frac{x^3 y^2}{z}$. The percentage errors in the measurements of $x, y$ and $z$ are $1\%, 2\%$ and $4\%$ respectively. What is the percentage error in the quantity $Q$ (in $\%$)?

$A$ wooden cubical block of mass $m = 20 \text{ kg}$ is measured within an error of $10 \text{ g}$. Its side length $l = 100 \text{ cm}$ is measured within an error of $1 \text{ mm}$. Then, the relative error in the measurement of its density is

The radius $(r)$,length $(l)$,and resistance $(R)$ of a metal wire were measured in the laboratory as:
$r = (0.35 \pm 0.05) \text{ cm}$
$R = (100 \pm 10) \text{ } \Omega$
$l = (15 \pm 0.2) \text{ cm}$
The percentage error in the resistivity of the material of the wire is: (in $\%$)