Identify the transformation: KeaC : CaeK :: XgmF : ?

Introduction / Context:
This is a pure rearrangement (reversal) analogy. Many coding-decoding questions use simple reversals to test attention to letter order rather than arithmetic shifts.

Given Data / Assumptions:

• KeaC maps to CaeK.
• We must map XgmF to an unknown using the same transformation.
• No case changes or shifts are implied—only reordering.

Concept / Approach:
Check whether the second term is the reverse of the first. Since KeaC reversed letter-by-letter is CaeK, the rule is “reverse the string.” Apply the same to the new term.

Step-by-Step Solution:

Verification / Alternative check:
Reverse FmgX to retrieve XgmF; this confirms a perfect involution (operation equals its own inverse).

Why Other Options Are Wrong:

• GmcF/EgmX/EmgF: These introduce letter substitutions or partial reorders rather than a full reversal.

Common Pitfalls:
Overthinking a simple reversal and searching for shifts; always test the simplest pattern first—often it is a full reverse.

Final Answer:
FmgX