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

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.