WBCS Mains 2019 Official Paper-VI

Study the following layout information:
* Tree $\text{E}$ is located to the North-East of tree $\text{B}$.
* Tree $\text{A}$ is situated $15\text{ m}$ exactly to the East of tree $\text{B}$.
* Tree $\text{B}$ is situated $40\text{ m}$ exactly to the West of tree $\text{D}$.
* Tree $\text{C}$ is to the North-West of tree $\text{A}$ and lies directly on the straight line connecting $\text{B}$ and $\text{E}$.
* Tree $\text{A}$ is located $30\text{ m}$ directly to the South of tree $\text{E}$.

What is the linear straight-line distance between tree $\text{A}$ and tree $\text{D}$?

Study the following layout information:
* Tree $\text{E}$ is located to the North-East of tree $\text{B}$.
* Tree $\text{A}$ is situated $15\text{ m}$ exactly to the East of tree $\text{B}$.
* Tree $\text{B}$ is situated $40\text{ m}$ exactly to the West of tree $\text{D}$.
* Tree $\text{C}$ is to the North-West of tree $\text{A}$ and lies directly on the straight line connecting $\text{B}$ and $\text{E}$.
* Tree $\text{A}$ is located $30\text{ m}$ directly to the South of tree $\text{E}$.

In which direction is tree $\text{E}$ situated with respect to tree $\text{D}$?

The area of a triangle is exactly equal to the area of a square whose side measures $75\text{ meters}$. Find the base length of this triangle if its corresponding altitude is $125\text{ meters}$.

In a certain code language, the word 'BASKET' is written as '5 $ 3 % # 1' and 'TRIED' is written as '1 4 * # 2'. How is the word 'SKIRT' written in that identical code language?

The position of the first and the fifth digits of the number $81943275$ are interchanged. Similarly, the position of the second and the sixth digits are interchanged, and so on until the fourth and the eighth digits are interchanged. Which digit will be the third digit from the right end after this complete rearrangement?