Select the option that is related to the fifth letter-cluster in the same way as the second letter-cluster is related to the first letter-cluster and the fourth letter-cluster is related to the third letter-cluster.
$$\text{ABUSE : ASUBE :: BEGIN : BIGEN :: OTHER : ?}$$

Let's study the positional shifting mechanism of letters in the given examples:
* First set: $\text{A B U S E}\to \text{A S U B E}$
Positions: $1,2,3,4,5\to 1,4,3,2,5$
Notice that the $2^{\text{nd}}$ letter ($\text{B}$) and the $4^{\text{th}}$ letter ($\text{S}$) are interchanged, while positions $1,3,$ and $5$ remain constant.
* Second set: $\text{B E G I N}\to \text{B I G E N}$
Positions: $1,2,3,4,5\to 1,4,3,2,5$
Here too, the $2^{\text{nd}}$ letter ($\text{E}$) and the $4^{\text{th}}$ letter ($\text{I}$) are swapped.

Applying the identical rule to OTHER:

* Keep position 1 ($\text{O}$), position 3 ($\text{H}$), and position 5 ($\text{R}$) exactly the same.
* Swap the $2^{\text{nd}}$ letter ($\text{T}$) with the $4^{\text{th}}$ letter ($\text{E}$).

This transforms $\text{OTHER}$ into OEHTR.