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

Direction: Study the following information carefully and answer the questions given below.
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

Input: 59 36 12 98 84 31 06 72 63

The sum of the numbers in position 3 and position 7 corresponding to step 4 is:

Find the odd one out:
Measles, Rubella, Pneumonia, Rabies

The smallest number which when divided by $12$, $15$, $20$ or $54$ leaves a remainder of $4$ in each case, is:

If $\frac{x}{y+z}=\frac{y}{z+x}=\frac{z}{x+y}=K(K\ne 0)$, then the value of $K$ is:

A boatman can row a boat downstream and upstream at $13\text{kmph}$ and $9\text{kmph}$ respectively. What will be the speed of boat in still water? (in $\text{kmph}$)