Letter analogy with uniform forward shift: BCFG : HILM :: NORQ : ?

Introduction / Context:
This verbal-reasoning analogy checks your ability to detect a consistent alphabetic shift pattern and apply it to a new set of letters. Such questions are common in competitive aptitude tests to assess pattern recognition and rule transfer.

Given Data / Assumptions:

• Source pair: BCFG maps to HILM.
• Target stem: NORQ maps to ?
• Assume a fixed forward shift unless evidence suggests otherwise.

Concept / Approach:
Compare each corresponding letter to determine the shift. If the shift is uniform across all letters in the first mapping, apply the same shift to each letter of the second group. Use A=1, B=2, …, Z=26 indexing for clarity.

Step-by-Step Solution:

Verification / Alternative check:
Reverse-check by subtracting 6 from TUXW: T→N, U→O, X→R, W→Q. This returns the original, confirming the mapping is correct and consistent.

Why Other Options Are Wrong:

• TXWU/TXUW/TVWX: These scramble some letters but do not maintain the exact +6 shift for every position.

Common Pitfalls:
Mixing letter order after shifting, or applying different shifts to different letters. Keep the rule uniform across all positions once identified.

Final Answer:
TUXW