Choose the odd number: Three of the following are perfect squares (n^2), while one is not. Identify the non-square.

Introduction / Context:Recognizing perfect squares is a foundational skill for quantitative aptitude. In this classification task, three options are exact squares of integers; one is not. Spot the non-square.

Given Data / Assumptions:

• Options: 25, 9, 16, 18.
• Recall: 5^2 = 25, 3^2 = 9, 4^2 = 16.

Concept / Approach:Compare each number to known square values or compute integer square roots. A non-square will not match n^2 for any integer n.

Step-by-Step Solution:

Verification / Alternative check:Take integer square roots: sqrt(25) = 5, sqrt(9) = 3, sqrt(16) = 4 are integers; sqrt(18) is irrational, confirming non-square status.

Why Other Options Are Wrong:They are exact perfect squares and therefore not the odd item.

Common Pitfalls:Assuming that being near a perfect square makes a number a square; exact equality to n^2 is required.

Final Answer:18 is the only non-square.