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Which of the following is the odd one out: 121, 144, 169, 198?
121
144
169
198
198
Check for squares of numbers. Consecutive square numbers form the core pattern, leaving non-squares as the odd one out.
Check for squares of numbers. Consecutive square numbers form the core pattern, leaving non-squares as the odd one out.
Analyze First Number
121 is a perfect square since 11 multiplied by 11 equals 121.
Analyze Middle Numbers
144 equals 12 squared (12 x 12) and 169 equals 13 squared (13 x 13), forming a sequence of consecutive square numbers.
Analyze Final Number and Conclude
198 is not a perfect square (14 squared is 196 and 15 squared is 225), which makes 198 the odd one out.
A: 121 is a perfect square of 11, B: 144 is a perfect square of 12, C: 169 is a perfect square of 13.
D is correct because 198 is not a perfect square, whereas the other three numbers are squares of consecutive integers (11, 12, and 13).
When faced with numeric classification questions, quickly test whether numbers are squares or cubes before looking at arithmetic differences.
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