Analogy (digit squaring & concatenation): 176 : 14936 :: 549 : ____. Rule: square each digit and concatenate results.

Difficulty: Easy

Correct Answer: 251681

Explanation:


Introduction / Context:
Pattern: write each digit’s square in order and concatenate. Example validates the rule for 176.



Given Data / Assumptions:

  • 176 → (1^2)(7^2)(6^2) → 1, 49, 36 → 14936.
  • Apply to 549 → (5^2)(4^2)(9^2).


Concept / Approach:
Compute squares: 5^2=25, 4^2=16, 9^2=81. Concatenate in the same order → 251681.



Step-by-Step Solution:
Square each digit.Concatenate preserving order.



Verification / Alternative check:
Check digit boundaries: “25|16|81” → 251681.



Why Other Options Are Wrong:
They permute the blocks or digits.



Common Pitfalls:
Misordering blocks or squaring incorrectly.



Final Answer:
251681.

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