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A number when divided by 9 leaves remainder 6. When square of the same number is divided by 9, find the remainder.

A number when divided by 9 leaves remainder 6. When square of the same number is divided by 9, find the remainder. Correct Answer 0

On dividing the given number by 9, let k be the quotient and 6 the remainder. Then the number is 9k+6. Square of the number = (9k+6)2 = 81k2 + 36 + 108k = 9(9k2 + 4 + 12k) The square of the number is completely divisible by 9. Hence the remainder is 0.

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