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5,3,9,4,1, a perfect square is a number that in its natural form is a square of another number , for example 16 is a square of 4, 25 is a square of five, 36 is a square of 6........this makes 16, 25 and 36 to be perfect squares and if you divide them by 11, you get 5,3 and 3 as remainders respectively. You can get as the many possible outcomes of remainders by getting any perfect square and dividing it by eleven.

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