ABCABC is a six digit number where A,B,C are three consecutive natural numbers. Find the remainder when ABCABC is divided by 1001?

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997

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cant be determined

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none of these

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Solution

The correct option is D
none of these

ABCABC = ABC $\times$ 1000 + ABC = ABC $\times$ 1001.

$∴$ Remainder when ABCABC is divided by 1001 is 0.

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