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$x_1 , x_2 , x_3 , ......... , x_{10}$ are integers , none of which are divisible by 3 . The remainder when $x^2_1 + x^2_2 + x^2_3 + ....... + x^2_{10}$ is divided by 3 is

This problem is a part of the sets - 3's & 4's & " N " for number theory

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