If 31z5 is a multiple of 3, where z is a digit, what might be the values of z?

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asked Dec 27, 2017 in Mathematics by Golu (37,045 points) 19 172 620

If 31z5 is a multiple of 3, where z is a digit, what might be the values of z?

1 Answer

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answered Dec 27, 2017 by Ankit Agarwal (28,847 points) 7 34 106

Since 31z5 is a multiple of 3.
Therefore according to the divisibility rule of 3, the sum of all the digits should be a multiple of 3.
Since, z is a digit.

Hence 0, 3, 6 and 9 are four possible answers.

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