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Find the odd one out: 121, 144, 169, 198.
121
144
169
198
198
Check for perfect squares immediately. Consecutive square numbers form the core pattern, leaving out the non-square option.
Check for perfect squares immediately. Consecutive square numbers form the core pattern, leaving out the non-square option.
Analyze Number Properties
Examine the given numbers (121, 144, 169, 198) to check if they share a common mathematical property such as being squares or cubes.
Identify Consecutive Squares
121 is 11 squared, 144 is 12 squared, and 169 is 13 squared. These represent a sequence of consecutive integers squared.
Verify the Remaining Number
198 is tested against squares. Since 14 squared equals 196, 198 is not a perfect square, making it the odd one out.
A: 121 is incorrect because it is a square of 11. B: 144 is incorrect because it is a square of 12. C: 169 is incorrect because it is a square of 13.
D is correct because 198 is not a perfect square, whereas 121, 144, and 169 are consecutive perfect squares of 11, 12, and 13.
Always check for squares and cubes first when encountering number series or classification questions to save valuable exam time.
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