WBCS Mains 2021 (Held On May 2022) Official Paper-VI

Direction: Study the following sequence of letters, digits and symbols carefully:
8 · F W $ Y 5 6 G ? 7 1 E N # P 3 @ J B Δ 4 M R 9 2 + K

If the first seventeen elements are written in the reverse order followed by the next eleven elements, which element would be the fifth to the right of E?

If the ratio of three numbers are $3:4:5$ and their LCM is $1200$, then the smallest number is:

Consider the sequence of dates given below:
6 | 12 | 71, 2 | 1 | 72, 29 | 1 | 72, 25 | 2 | 72,...

What is the next term of the sequence?

Two angles of a triangle are $75^{\circ }$ and $45^{\circ }$. What is the value of the third angle in circular measure? (As per convention, do not use the symbol of radian.)

The height of a tower is $4h\text{meters}$ and the height of the observer is $h\text{meters}$. He views the top of the tower from a horizontal distance of $3\sqrt{3}h\text{meters}$ from the base. Find the angle of elevation of the tower as seen by the observer.