Find the preimage under a constant +4 shift: LKJ : pon :: ? : hgf

Difficulty: Easy

Correct Answer: DCB

Explanation:


Introduction / Context:
This coding-decoding item uses a constant forward shift across letters. We are given the output and must infer the input by reversing the shift. Such inverse reasoning is routine in alphabet mapping questions.


Given Data / Assumptions:

  • LKJ maps to pon with a +4 shift (L→p, K→o, J→n).
  • We need a word that maps to hgf via the same +4 rule.
  • Case is not semantically important; letter identities are.


Concept / Approach:
If output = input shifted by +4, then input = output shifted by −4. Compute each letter accordingly using alphabet positions with wrap-around as needed.


Step-by-Step Solution:

Determine the inverse: h (8) − 4 = d (4), g (7) − 4 = c (3), f (6) − 4 = b (2).Therefore, the input word is d c b → “DCB” in uppercase.Quick check: d+4=h, c+4=g, b+4=f, confirming correctness.


Verification / Alternative check:
Reapply the forward rule on DCB to see if you recover hgf. The mapping is exact and uniform, so the verification succeeds immediately.


Why Other Options Are Wrong:

  • dcle/DBC/dcd: Each contains at least one letter that fails the strict −4 back-shift from h, g, f.


Common Pitfalls:
Miscounting by one step or swapping direction (+4 vs −4). Always compute carefully and maintain consistency across all positions.


Final Answer:
DCB

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