WBCS Mains 2020 Official Paper-VI

If the letters in the word "PSCEXAM" are rearranged according to the English alphabetical order, how many letter(s) will remain in the same position after the rearrangement?

Direction: Monica, Amar, Akbar and Anthony live in four apartments that are arranged side by side. Only one of the above four persons is the landlord whose apartment is at one end. Amar's apartment is neither next to Monica's apartment nor next to Akbar's apartment. Monica's apartment is not at one end. Amar is not the landlord.
Who lives just beside the landlord?

A man rows downstream $32\text{km}$ and $14\text{km}$ upstream. If he takes $6\text{hours}$ to cover each distance, then the velocity (in $\text{kmph}$) of the current is:

If one-third of a tank holds $80\text{litres}$ of water, then the quantity of water that half of the tank holds is:

From a group of $7\text{men}$ and $6\text{women}$, five persons are to be selected to form a committee so that at least $3\text{men}$ are there in the committee. In how many ways can it be done?