Alternating shifts −4, +4, −4, +4 across positions QIOK : MMKO :: YAWC : ?

Difficulty: Medium

Correct Answer: UESG

Explanation:

Introduction / Context:Some analogies use alternating positional shifts. Here, the pattern from the first pair reveals a −4, +4, −4, +4 sequence. We must apply it to the new source word.

Given Data / Assumptions:

  • QIOK → MMKO.
  • We work with A=1 … Z=26 and wrap-around.
  • Goal: YAWC → ?

Concept / Approach:Compute the displacement on each position for the known pair, ensuring an alternating pattern, then replicate it on the new word.

Step-by-Step Solution:

Q→M: −4; I→M: +4; O→K: −4; K→O: +4.Therefore pattern is [−4, +4, −4, +4].Apply to YAWC:Y→U (−4), A→E (+4), W→S (−4), C→G (+4).Assembled result: UESG.

Verification / Alternative check:Apply the inverse [+4, −4, +4, −4] to UESG; it returns YAWC. This confirms correctness.

Why Other Options Are Wrong:

  • USGA/SUEG/VUES: Letters are permuted or shifted inconsistently, breaking the alternating rule.

Common Pitfalls:Assuming a uniform shift; forgetting to alternate direction by position; ignoring wrapping when subtracting from A or adding beyond Z.

Final Answer:UESG

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