Which least number should be subtracted from $1000$ so that $35$ divides the difference completely?

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Solution

On dividing $1000$ by $35$ we get,
$3528 1000 - 70 - - - - - - 0300 - 280 - - - - - - 020$
So, the remainder is $20 .$
Hence, the least number should be subtracted from $1000$ so that $35$ divides the difference completely is $20 .$

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