In this coded letter analogy, “ZXVT is to ACEG as SQOM is to ______”. Choose the group of letters that completes the analogy by following the same alphabet reflection rule.

Introduction / Context:
This analogy involves a slightly more advanced letter code where each letter is replaced by its mirror image in the alphabet. The example pair “ZXVT : ACEG” illustrates the rule. We must apply the same rule to “SQOM” and then match the result with one of the given options. This type of problem checks familiarity with positional coding and symmetric mappings in the alphabet.

Given Data / Assumptions:

• Known pair: ZXVT → ACEG. • Unknown mapping: SQOM → ? • Options: FHJL, HJLN, JLMO, IKMO. • We treat the English alphabet as positions A = 1, B = 2, ..., Z = 26. • A classic mirror or reflection rule uses the mapping: A ↔ Z, B ↔ Y, C ↔ X, and so on.

Concept / Approach:
The first step is to understand how ZXVT becomes ACEG. A powerful and elegant pattern is alphabet reflection: each letter is replaced by its counterpart such that their positions add to 27 (1 + 26, 2 + 25, etc.). This reflection rule maps Z to A, X to C, V to E, and T to G. Once the rule is identified, we apply the same reflection to each letter in SQOM and then match the resulting sequence to the available options.

Step-by-Step Solution:
Step 1: Confirm the reflection rule with the first pair. • Z is 26; 27 − 26 = 1 → A. • X is 24; 27 − 24 = 3 → C. • V is 22; 27 − 22 = 5 → E. • T is 20; 27 − 20 = 7 → G. This gives ACEG, exactly as in the question. Step 2: Apply the same reflection to SQOM. • S is 19; 27 − 19 = 8 → H. • Q is 17; 27 − 17 = 10 → J. • O is 15; 27 − 15 = 12 → L. • M is 13; 27 − 13 = 14 → N. Step 3: The reflected sequence is H J L N (HJLN).

Verification / Alternative check:
We can reverse check the mapping. Applying the reflection again to HJLN should return SQOM. H is 8; 27 − 8 = 19 → S. J is 10; 27 − 10 = 17 → Q. L is 12; 27 − 12 = 15 → O. N is 14; 27 − 14 = 13 → M. This reverse mapping reproduces SQOM exactly, confirming the rule is correct and that HJLN is the only valid answer.

Why Other Options Are Wrong:
• FHJL, JLMO, IKMO: None of these sequences correspond to the reflections we calculated. Their letters would map back to different groups, not SQOM, breaking the analogy. • Only HJLN is consistent with the positional reflection used in transforming ZXVT to ACEG.

Common Pitfalls:
Candidates often try simple addition or subtraction patterns (+2, −2) and get stuck because the example is designed around reflection rather than fixed shifts. Another mistake is to focus on only one or two letters and ignore the rest. Always ensure that the same rule explains the entire example pair before applying it to the new term. Once the reflection idea is recognised, the calculation becomes straightforward and leads uniquely to HJLN.

Final Answer:
The correct related letter group is HJLN.