Difficulty: Easy
Correct Answer: 18
Explanation:
Introduction / Context:
Number classification often tests recognition of perfect squares. Among the given numbers, three are perfect squares of integers; one is not. The task is to select the non-square number quickly and confidently.
Given Data / Assumptions:
Concept / Approach:
Check each number against a memorized square table up to at least 20^2. Alternatively, factorize: a perfect square has even exponents in prime factorization.
Step-by-Step Solution:
Verification / Alternative check:
Take square roots: only 9,16,25 yield integers; 18 does not.
Why Other Options Are Wrong:
Common Pitfalls:
Misremembering squares around 20–30. Sticking to a simple checklist (9,16,25) prevents errors.
Final Answer:
18
Discussion & Comments