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Question

Difficulty: HardCoding and Decoding

In a certain code language, the word DISRUPT is written as GSFUHLW. Based on the same logical transformation rule, how is the word PATIENT written in that code language?

  1. GQVLGDKAnswer
  2. B
    KDGLVQG
  3. C
    FQULFDJ
  4. D
    WMHRWZS

Answer

The word PATIENT is coded as GQVLGDK.
The correct answer GQVLGDK is formed by taking the word PATIENT, replacing letters at odd positions with their opposite alphabetical letters (27−alphabet position27 - \text{alphabet position}), advancing letters at even positions by +3+3, and reversing the overall string sequence.

Step-by-Step Solution

1
Analyze the letter transformations in the example word DISRUPT (7 letters).
Letters at odd positions (1st, 3rd, 5th, 7th) are replaced by their reverse alphabetical counterparts (A↔Z,B↔YA \leftrightarrow Z, B \leftrightarrow Y, calculated as 27−position27 - \text{position}). Letters at even positions (2nd, 4th, 6th) are shifted forward by +3+3 steps in the alphabet.
Identifying the positional parity rules from the sample word.
2
Transform each letter of DISRUPT individually.
D(1, odd) →\rightarrow W (27-4=23); I(2, even) →\rightarrow L (9+3=12); S(3, odd) →\rightarrow H (27-19=8); R(4, even) →\rightarrow U (18+3=21); U(5, odd) →\rightarrow F (27-21=6); P(6, even) →\rightarrow S (16+3=19); T(7, odd) →\rightarrow G (27-20=7). Intermediate string: WLHUFSG.
Deriving the intermediate string prior to reversal.
3
Reverse the order of the intermediate string WLHUFSG.
Reversing WLHUFSG yields GSFUHLW, matching the code given in the problem stem.
Confirming the complete multi-step transformation rule.
4
Apply the verified rule to the target word PATIENT.
P(1, odd) →\rightarrow K (27-16=11); A(2, even) →\rightarrow D (1+3=4); T(3, odd) →\rightarrow G (27-20=7); I(4, even) →\rightarrow L (9+3=12); E(5, odd) →\rightarrow V (27-5=22); N(6, even) →\rightarrow Q (14+3=17); T(7, odd) →\rightarrow G (27-20=7). Intermediate string: KDGLVQG.
Computing transformed letters for all positions in PATIENT.
5
Reverse the intermediate string KDGLVQG.
Reversing KDGLVQG produces the final code GQVLGDK.
Completing the final operation of the coding rule.

Key Concept

Positional parity-based letter transformation combined with reverse alphabetical indexing and string reversal.
Estimated Time:2m 0s
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Topics

Coding and Decoding

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