Multiple choice general knowledge math & puzzles

If 'WELCOME' is decoded as 'DVOXLNV'. Then 'ASSOCIATE' is decoded as:

  1. ZHHLXRZGV

  2. ZSSLXRAGE

  3. ASSLXRZGV

  4. ZHLXRZGV
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A Correct answer
Explanation

The coding pattern shifts each letter backward by 3 positions: W→D (minus 3), E→B (minus 3), L→I (minus 3), C→Z (minus 3), O→L (minus 3), M→J (minus 3), E→B (minus 3). Applying the same pattern to ASSOCIATE: A→Z, S→P (but shown as HH, this appears to be an error in the question), S→P, O→L, C→Z, I→F, A→Z, T→Q, E→B. The correct pattern application should give "ZPPLZFZQB", but the question shows option A as ZHHLXRZGV, which doesn't follow the pattern consistently.

AI explanation

This is an atbash-style cipher where each letter is replaced by its mirror position in the alphabet (A↔Z, B↔Y, and so on, i.e. letter position p maps to 27−p). Applying that to WELCOME gives DVOXLNV as shown, and applying the same rule to ASSOCIATE (A→Z, S→H, S→H, O→L, C→X, I→R, A→Z, T→G, E→V) yields ZHHLXRZGV.

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