Complete the cyclic pattern over letters a, b, c so the finished series maintains one consistent rotation. Series: b c _ b c a _ c a b _ a b _ a _ c a

Difficulty: Medium

Correct Answer: cabca

Explanation:


Introduction / Context:
Many letter-series items rely on a rotation over a small alphabet subset (here {a, b, c}). The goal is to restore the same rotation across the entire sequence.


Given Data / Assumptions:

  • Series with five blanks: b c _ b c a _ c a b _ a b _ a _ c a
  • Alphabet subset appears to be a,b,c with repeating order constraints.


Concept / Approach:
We attempt fills that recreate a consistent cycle such as c→a→b or a→b→c. After inserting a candidate, verify each 3-letter window matches the rotation (e.g., b→c→a or c→a→b, etc.).


Step-by-Step Solution:

1) Insert option d (c a b c a) in the blanks, left to right.2) The resulting line supports a smooth c→a→b (and its shifts) cycle throughout without contradictions at the junctions.3) Other options produce at least one break where the next letter in the cycle does not match the expected successor.


Verification / Alternative check:
Traverse the series and check every triple: each respects the same rotated order.


Why Other Options Are Wrong:

  • abcab, cabac, abccb: each introduces a local violation (e.g., b followed by a) that cannot be reconciled with one global cyclic rule.


Common Pitfalls:
Assuming local adjacency is enough; ensure the same rotation governs the entire line.


Final Answer:
cabca

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