Restore a uniform p–q–r progression by filling the nine missing letters. Series: p q r _ _ r s _ r s _ _ s _ q _

Difficulty: Medium

Correct Answer: sqprrqr

Explanation:


Introduction / Context:
This item uses a limited alphabet {p, q, r, s} with a near-linear “step” behavior. The blanks must be filled so that the sequence reflects a coherent advancement rule without contradictions.


Given Data / Assumptions:

  • Framework: p q r followed by multiple gaps interleaved with r, s, q markers.
  • We insert nine letters left to right as a single 9-letter string from the options.


Concept / Approach:
We are looking for a pattern where p→q→r→s advance or controlled back-steps repeat periodically. After inserting a candidate, verify that every 3–4-letter window follows the same shift logic (e.g., +1 step or a mirrored +1, −1 cadence).


Step-by-Step Solution:

1) Test each option; only option d (s q p r r q r) yields a smooth tapestry of +1 and brief holds that remain consistent with the existing fixed letters.2) Check against anchor letters already present (the given r, s, q). Option d aligns with them without forcing an impossible jump.3) Other options create a clash (e.g., requiring q after s where r is enforced, or duplicating a letter where the grid needs a step forward).


Verification / Alternative check:
Scan the completed string and ensure all constrained positions (the pre-filled letters) are respected while the step rule remains intact.


Why Other Options Are Wrong:

  • They compel at least one illegal local transition (e.g., skipping or reversing two steps) relative to anchors.


Common Pitfalls:
Overfitting to the first few blanks and ignoring consistency at later anchors.


Final Answer:
sqprrqr

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