Number Analogy — Identify the number that shares the same property: 144, 256, 324 → ____
Verbal Reasoning
Analogy
Difficulty: Easy
Choose an option
Answer
Correct Answer: 625
Explanation
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:
625 = 25^2 ✔ perfect square175, 188, 189 → not perfect squares ✘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