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

If $\frac{x}{2}+\frac{y}{3}=4$ and $\frac{2}{x}+\frac{3}{y}=1$, then what is $x+y$ equal to?

Present ages of Neha and Rashmi are in the ratio of $7:8$ respectively. Six years later, the ratio of their ages will become $9:10$ respectively. What is Rashmi's present age?

Direction: Study the following info carefully:
Input: $983106726359361284$
Step 1: $983136726359061284$
Step 2: $843136726359061298$
Step 3: $843136637259061298$
Step 4: $843112637259063698$

New Input: $061231365963728498$
Which of the following will be Step 4 for this input?

The positions of the $5^{\text{th}}$ and $12^{\text{th}}$ letters of the word 'GLORIFICATIONS' are interchanged; and likewise the positions of the $4^{\text{th}}$ and $14^{\text{th}}$, $3^{\text{rd}}$ and $10^{\text{th}}$, $2^{\text{nd}}$ and $11^{\text{th}}$, and $1^{\text{st}}$ and $13^{\text{th}}$ letters are interchanged. Which of the following will be the $12^{\text{th}}$ letter from the right end?

A lift carrying $50$ passengers from the ground floor of a $100$ -storeyed building is moving upward. The lift stops at the $1^{\text{st}}$, $2^{\text{nd}}$, $3^{\text{rd}}$ floor, then skips the $4^{\text{th}}$ floor, again stops at the $5^{\text{th}}$, $6^{\text{th}}$, and $7^{\text{th}}$, then skips the $8^{\text{th}}$ floor, and so on. Passengers get discharged in a repeating pattern: $2,3,3,2,3,3\dots$ at each successive stop. At which floor does the lift become empty?