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:
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:
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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