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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