What is the test for a number divisible by 7 ?

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Solution

If double of unit's place digit of given number is subtracted from rest of digits and if the remainder is divisible by 7, then that number is divisible by 7.
Example,
$875 \to 87 - (2 \times 5) = 87 - 10 = 77 / 7 = 11$
Hence, 875 is divisible by 7.

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