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

The least number which when diminished by 5 is divisible by each of 21, 28, 36, 45 is:

An algorithm rearranges a sequence of numbers following a specific rule in each step. Following is an illustration of input and the subsequent steps of rearrangement.
Input: 98 31 06 72 63 59 36 12 84
Step 1: 98 31 36 72 63 59 06 12 84
Step 2: 84 31 36 72 63 59 06 12 98
Step 3: 84 31 36 63 72 59 06 12 98
Step 4: 84 31 12 63 72 59 06 36 98

Using the same rule, trace the steps for the following input sequence:
Input: 12 31 59 36 63 72 98 84 06
The sum of the numbers for the given sequence whose positions remain unaltered through all the steps as in the input is:

If $P=99$, then $P(P^2+3P+3)=?$

Sushant spent $18\%$ of his monthly salary on buying electronic goods and $32\%$ of the monthly salary on repair work in his house. Out of the remaining amount, he invested $42\%$ in a fixed deposit. If he was left with $\text{Rs. }12,325$, how much is his annual salary?

The difference between the compound interest and the simple interest at the same rate of interest, for the amount $\text{Rs. }5,000$ in 2 years, is $\text{Rs. }32$. The rate of interest is: