Answer:
a) Q = 0 or 9
b) Q = 5
c) Q = 7
d) Q = 8
Step-by-step explanation:
We assume the postal money order to be of the United State. A smudged digit is calculated using the following algorithm.
1. Add first 10 digits of 11-digit number.
2. Divide the sum of the 10 numbers by 9.
3.The remainder is the smudged digit.
4.The smudged digit is appended to the end of the ID number or anywhere in the number.
It is calculated as:
a) 493212Q0688
Therefore, Q is either 0 or 9.
b) 850Q9103858
Therefore, Q is 5 because from Q mod 9 = 5, we have Q = 5 mod 9.
c) 2Q941007734
Therefore, Q is 7 because we have to cancel out the negative sign by adding the modulo base (9) to the negative number: -2 + 9 = 7.
d) 66687Q03201
Therefore, Q is 8 because we have to cancel out the negative sign by adding the modulo base (9) to the negative number: -1 + 9 = 8.