Digit-based transformation (constant offset detected) Given 335 → 216, determine the analogous value for 987 → ?

Difficulty: Medium

Correct Answer: 868

Explanation:


Introduction / Context:
Some analogies encode a consistent additive/subtractive offset between the left and right numbers. With only one training pair provided (335 → 216), the safest deduction is to detect and apply this constant offset to the new left number.



Given Data / Assumptions:

  • Single mapping example: 335 becomes 216.
  • No additional constraints or multi-step patterns are specified.



Concept / Approach:
Compute the net change: 335 − 216 = 119. Treat this as the rule’s constant offset (subtract 119). In analogy problems with one exemplar, a consistent linear offset is a standard, acceptable inference when it neatly fits the data and yields a plausible option.



Step-by-Step Solution:
Determine offset: 335 − 216 = 119.Apply to 987: 987 − 119 = 868.



Verification / Alternative check:
Scan answer choices: only 868 equals 987 − 119 exactly, supporting the constant-difference interpretation.



Why Other Options Are Wrong:
867, 872, 888: None equals 987 − 119; they are inconsistent with the discovered constant offset.



Common Pitfalls:
Overfitting with elaborate digit algebra when the single given mapping strongly suggests a fixed difference.



Final Answer:
868

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