Number Analogy — Identify the number that shares the same property: 144, 256, 324 → ____

Introduction / Context:
All given numbers are perfect squares: 144 = 12^2, 256 = 16^2, 324 = 18^2. The task is to select an option that is also a perfect square, preserving the same property.

Given Data / Assumptions:

• 144 = 12^2
• 256 = 16^2
• 324 = 18^2

Concept / Approach:
Filter the options and keep only perfect squares.

Step-by-Step Solution:

Verification / Alternative check:
Try nearest integer roots: √625 = 25 (integer). Others yield non-integers.

Why Other Options Are Wrong:
They are not perfect squares; hence, they break the defining property.

Common Pitfalls:
Assuming arithmetic progression; here the binding property is “square number”.

Final Answer:
625