WBCS Mains 2018 Official Paper-VI

$A$, $B$, and $C$ entered into a partnership business by investing $\text{Rs. }64000$, $\text{Rs. }52000$, and $\text{Rs. }36000$ respectively for a certain period of time. If $A$ receives $\text{Rs. }35584$ as annual profit, what amount will $C$ receive as his share in the profit?

The sum of the digits of a two-digit number is $12$. When the digits are interchanged, the resulting number is $36$ more than the original number. What is the original two-digit number?

The sum of three consecutive multiples of $3$ is $72$. What is the largest number among them?

$1\text{ nanosecond}$ is equal to:

The product of two numbers is $1320$ and their $\text{H.C.F.}$ is $6$. The $\text{L.C.M.}$ of the numbers is: