Units and Measurements Questions

Consider the diameter of a spherical object being measured with the help of a Vernier callipers. Suppose its $10$ Vernier Scale Divisions (V.S.D.) are equal to its $9$ Main Scale Divisions (M.S.D.). The least division in the M.S. is $0.1\text{cm}$ and the zero of V.S. is at $x=0.1\text{cm}$ when the jaws of Vernier callipers are closed.
If the main scale reading for the diameter is $M=5\text{cm}$ and the number of coinciding vernier division is $8$, the measured diameter after zero error correction, is:

A physical quantity $P$ is related to four observations $a$, $b$, $c$ and $d$ as follows:
$$P=a^3{b}^2/c\sqrt{d}$$
The percentage errors of measurement in $a$, $b$, $c$ and $d$ are $1\%$, $3\%$, $2\%$ and $4\%$ respectively. The percentage error in the quantity $P$ is:

"Parsec" is the unit of:

Dimension of electrical resistance is:

The velocity $v$ of a particle at time $t$ is given by$v=at+\frac{b}{t+c}$, where $a$, $b$ and $c$ are constants. The dimensions of $a$, $b$, and $c$ are respectively:

If the dimensions of a physical quantity are given by $M^a{L}^b{T}^c$, then the physical quantity will be:

Density is $4{\text{g/cm}}^3$. In a system where unit of length is $10\text{cm}$ and unit of mass is $100\text{g}$, the numerical value of density is:

In an experiment, four quantities $a,b,c$ and $d$ are measured with percentage error $1\%$, $2\%$, $3\%$ and $4\%$ respectively. Quantity $P$ is calculated as follows: $P=\frac{a^3{b}^2}{cd}$. The percentage error in $P$ is: