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Difficulty: MediumCoding and Decoding

A botanical research institute archives its seed collection by encrypting the plant category names using a specific two-step alphabetical transformation rule. According to this rule, the category name ORCHID is transformed into MJYTSX. Applying the identical transformation rule, which of the following will be the encrypted code for the category name BAMBOO?

  1. ZAOZMMAnswer
  2. B
    YZNYLL
  3. C
    CBNCPP
  4. D
    XYMXKK

Answer

The encrypted code for the category name BAMBOO is ZAOZMM.
The established coding rule follows a two-step process: first, find the reverse alphabetical pair for each letter (e.g., A ↔ Z, B ↔ Y). Second, apply a +1 forward shift to that reverse letter. For BAMBOO, the reverse letters are YZNYLL. Adding a +1 shift to each yields ZAOZMM.

Step-by-Step Solution

1
Analyze the transformation of the word ORCHID to MJYTSX.
O (15) → Opposite is L (12) → +1 shift → M (13).
R (18) → Opposite is I (9) → +1 shift → J (10).
C (3) → Opposite is X (24) → +1 shift → Y (25).
This establishes the two-step pattern: replace each letter with its reverse alphabetical counterpart, then shift forward by one position (+1).
2
Apply the first step of the pattern (reverse alphabetical counterpart) to the target word BAMBOO.
B → Y, A → Z, M → N, B → Y, O → L, O → L. The intermediate string is YZNYLL.
The sum of forward and reverse positional values of complementary letters is always 27.
3
Apply the second step of the pattern (+1 forward shift) to the intermediate string YZNYLL.
Y + 1 → Z, Z + 1 → A, N + 1 → O, Y + 1 → Z, L + 1 → M, L + 1 → M. The final string is ZAOZMM.
This completes the identical transformation rule applied to the reference word.

Key Concept

Identifying complex coding patterns involving reverse alphabetical indexing (opposite letters) combined with sequential positional shifts.
Estimated Time:1m 30s
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Topics

Coding and Decoding

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