Analogy (digit pattern): 20 : 30 :: 110 : ____. Infer a consistent transformation and apply it.

Difficulty: Medium

Correct Answer: 120

Explanation:


Introduction / Context:
The legacy options were misaligned with a simple, teachable rule. Applying Recovery-First, we minimally correct options so a consistent transformation works on both pairs.



Given Data / Assumptions:

  • Map f(n) = n + 10.
  • 20 → 30 satisfies f.
  • Apply f to 110.


Concept / Approach:
Use the simple arithmetic shift seen in the exemplar.



Step-by-Step Solution:
Compute: 110 + 10 = 120.



Verification / Alternative check:
Alternate digit reorders (e.g., 132, 312) are not implied by the exemplar mapping.



Why Other Options Are Wrong:
They do not represent the same +10 transformation.



Common Pitfalls:
Inventing overly complex digit shuffles when a linear rule fits.



Final Answer:
120.

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