Uniform backward shift by 4 positions (−4) across letters ABCD : WXYZ :: EFGH : ?

Difficulty: Easy

Correct Answer: ABCD

Explanation:


Introduction / Context:
This analogy uses a fixed backward displacement. In the example, each letter in ABCD is moved four places backward to give WXYZ. We must apply the same operation to EFGH.



Given Data / Assumptions:

  • Mapping: A→W, B→X, C→Y, D→Z which is −4 per letter with wrap-around.
  • We need EFGH → ? via the same −4 shift.
  • Alphabet indexing A=1 … Z=26; wrap-around from A backward goes to W when shifting by 4.


Concept / Approach:
Use a uniform Caesar shift of −4 on each character of the source word. Since the shift is constant, apply it letter-by-letter to E, F, G, H.



Step-by-Step Solution:

E → A (E back 4 is A).F → B.G → C.H → D.Therefore, EFGH → ABCD.


Verification / Alternative check:
Check consistency: adding +4 to ABCD returns EFGH, confirming the inverse relationship.



Why Other Options Are Wrong:

  • STUV/VUTS/ZYXW: These reflect different shifts or reversals and do not correspond to a uniform −4 applied to EFGH.


Common Pitfalls:
Confusing mirror (Atbash) with a fixed Caesar shift; reversing order instead of shifting.


Final Answer:
ABCD

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