Alphabet Analogy — Alternating Bidirectional Shifts AZBY : CXDW :: EVFU : ?

Difficulty: Easy

Correct Answer: GTHS

Explanation:


Introduction / Context:
This alphabet analogy uses alternating shifts: forward then backward repeatedly. Detecting the alternation in the first pair allows us to apply it to the second string precisely.


Given Data / Assumptions:

  • First mapping: AZBY → CXDW.
  • Second mapping target: EVFU → ?
  • Alphabet indexing: A=1 … Z=26.


Concept / Approach:
Compare each position in the first pair to see if the direction and magnitude of shifts alternate. Apply the same +/− pattern consistently to the second sequence.


Step-by-Step Solution:

A(1) → C(3): +2.Z(26) → X(24): −2.B(2) → D(4): +2.Y(25) → W(23): −2.So the rule is “+2, −2, +2, −2.”Apply to EVFU: E→G (+2), V→T (−2), F→H (+2), U→S (−2). Result = GTHS.


Verification / Alternative check:
Check reverse: subtracting and adding back restores EVFU, confirming the pattern’s correctness.


Why Other Options Are Wrong:

  • GHTS / GSTH / TGSH scramble the order or use incorrect intermediate letters, breaking the strict +2/−2 alternation.
  • None of the above: Not applicable because GTHS fits perfectly.


Common Pitfalls:
Forgetting to alternate directions or miscounting positions when wrapping near Z. Here, no wrap-around occurs, simplifying the calculation.


Final Answer:
GTHS

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