What is pinocytosis process?

A lysosome vesicle of $1 \mathrm{\mu m}$ diameter has an internal $\mathrm{pH}$ of $5.0$. The total number of ${\mathrm{H}}^{+}$ ions inside this vesicle would range from

Assertion ($\mathrm{A}$): The flow of solvent molecules from a pure solvent to the solution through semipermeable membrane is osmosis.

Reason $\left(\mathrm{R}\right):$ Pure solvent molecules flow out of the solution through semipermeable membrane if a pressure larger than the osmotic pressure is applied to the solution side.

The correct answer is:

The containers $\mathrm{X}$ and $\mathrm{Y}$ have $1$ litre of pure water and $1$ litre of $0.1 \mathrm{M}$ sugar solution, respectively. Which one of the following statements would be correct regarding their water potential $\left(\mathrm{\Psi }\right)$ and osmotic potential $\left(\mathrm{\Psi }s\right)?$

*Note: There were errors in original KVPY papers, and thus the options are modified here.

Represent the union of two sets by Venn diagram for each of the following.

$X=\{x | x$ is a prime number between $80$ and $100\}$

$Y=\{y | y$ is an odd number between $90$ and $100\}$