A number when divided by 143 leaves 31 as remainder. What will be the remainder when the same number is divided by 13?

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KollegeApply · Accepted Answer

5 Explanation: Let the given number when divided by 143 give q as quotient and 31 as remainder. Then, number = 143q + 31 = {13 $\times$ 11q + 13 $\times$ 2 + 5} = 13 $\times$ (11q + 2) + 5 So, the same number when divided by 13 gives 5 as remainder.

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