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Labourer Tag

 
 
Reply Sat 23 Feb, 2008 06:11 am
Every labourer working on the Great Pyramid of Giza wore an identification tag. This tag bore a number such as:

8006358Y

This number is made up of seven digits and a letter at the end. This letter is derived from a check digit calculated from the seven digits using the modulus eleven method. For any given identification tag, the check digit can be validated using the following steps:

* Multiply each digit in the identification number by its weight.
* Add together the above products.
* Divide the resulting sum by 11.
* Subtract the remainder from 11 to give the check digit.
* Check the check digit against the table to obtain the alphabet.

The weights and the digit-to-letter matching table are given as follows:

2 7 6 5 4 3 2
1 2 3 4 5 6 7 8 9 10 11
P Q R S T U V W X Y Z

Given the information above, help to recover the last three digits of the partial identification number below:

8233***Q
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markr
 
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Reply Sat 23 Feb, 2008 12:44 pm
There is not a unique solution. If the last three digits are xyz, then:

(4x+3y+2z) mod 11 = 1
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