WBCS 2021 Mains (General Studies Paper-IV) Prev. Yr. Paper (24-May-2022)

A person runs for $1\text{ hour}$, $1\text{ hour}$, $1.5\text{ hours}$ and $1.5\text{ hours}$, respectively, along the sides of a square track. If length of each side is $20\text{ km}$, then his average speed in $\text{km/hour}$ is

$\text{A}$, $\text{B}$, $\text{C}$, $\text{D}$ and $\text{E}$ are sitting in a row. $\text{B}$ is between $\text{A}$ and $\text{E}$. To find out who among them is in the middle, which of the following statements $\text{P}$ and $\text{Q}$ is/are sufficient?
$\text{P.}$ $\text{A}$ is left of $\text{B}$ and right of $\text{D}$.
$\text{Q.}$ $\text{C}$ is at the right end.

Three sets of books on Maths, Science and Social Studies have $240$, $336$ and $96$ books in each set respectively. The books need to be stacked in such a way that all the books are stacked subject-wise and number of books in each stack is same. The total minimum number of stacks will then be,

What is the ratio between area of circles circumscribing a square and that of the one inscribed in the square?

A hemisphere can with internal radius of $9\text{ cm}$ is completely filled with water. Someone is requested to fill this water in a cylindrical bottle with a diameter of $3\text{ cm}$ and height of $4\text{ cm}$. The number of bottles to be required to make the can empty is