Problem

A doctor’s office uses a five-digit identification code for filing and retrieving patien...

A doctor’s office uses a five-digit identification code for filing and retrieving patient records so that the fifth digit is the check digit. The code will use a mod 7 check-digit scheme; that is, the check digit is congruent to d1d2d3d4 mod 7.

a. What digits are possible as check digits?

b. Find the check digit for the identification code 3964.

c. Find the missing digit in the code 41?73.

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