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:
9 → perfect square (3^2).16 → perfect square (4^2).25 → perfect square (5^2).18 → factorize 18=2*3^2 (exponent of 2 is odd) → not a square.Verification / Alternative check:Take square roots: only 9,16,25 yield integers; 18 does not.
Why Other Options Are Wrong:
They are perfect squares and therefore do not satisfy the “non-square” criterion.Common Pitfalls:Misremembering squares around 20–30. Sticking to a simple checklist (9,16,25) prevents errors.
Final Answer:18
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