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The perfect squares that are less than 20 are 0, 1, 4, 9, and 16.

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Q: What are perfect squares less than 20?
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Ralph likes 25 but not 24 he likes 400 but not 300 he likes 144 but not 145?

Ralph likes numbers that are perfect squares but not numbers that are one less than a perfect square. Perfect squares are numbers that can be expressed as the product of an integer multiplied by itself (e.g. 25 = 5 x 5, 400 = 20 x 20, 144 = 12 x 12). Numbers that are one less than a perfect square do not fit this pattern (e.g. 24, 300, 145). Ralph's preference seems to be for the neat, symmetric nature of perfect squares.


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