Find the Next Code: MHZ, NIW, OKT, PNQ, (?) — determine the 3-letter continuation by analyzing per-column shifts.

Difficulty: Medium

Correct Answer: QRN

Explanation:


Introduction / Context:
Three-letter codes can evolve via independent arithmetic progressions on each column. Identify those step sizes and extend them.



Given Data / Assumptions:

  • Codes: M H Z, N I W, O K T, P N Q, ?
  • Column shifts appear regular but asymmetric.


Concept / Approach:
Compute column-wise movements (A=1 … Z=26):



Step-by-Step Solution:
Col1: M→N→O→P: +1 each → next Q.Col2: H→I (+1), I→K (+2), K→N (+3): step sizes +1, +2, +3 → next +4 → R.Col3: Z→W (−3), W→T (−3), T→Q (−3): constant −3 → next −3 → N.Hence the next code is Q R N.



Verification / Alternative check:
The strictly increasing +1/+2/+3 pattern in column 2, paired with constant −3 in column 3, uniquely yields QRN.



Why Other Options Are Wrong:

  • RRN, QRM, QQN: each violates at least one of the column progressions.


Common Pitfalls:
Assuming equal steps in all columns; only column 1 is constant +1, column 2 accelerates, column 3 stays −3.



Final Answer:
QRN

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