The missing digit for the American Express Traveler's Check identification number is option (C) 6 is the correct answer.
In this question,
A Check Digit is a decimal (or alphanumeric) digit added to a number for the purpose of detecting the sorts of errors humans typically make on data entry.
A check digit is a digit added to a string of numbers for error detection purposes. Normally, the check digit is computed from the other digits in the string. A check digit helps digital systems detect changes when data is transferred from transmitter to receiver.
The last digit of a bar code number is a calculated check digit. The check digit is calculated from all the other numbers in the bar code and helps to confirm the integrity of your bar code number.
The American Express Traveler's Check identification number is 783920*814.
In Airline tickets, there are several digits plus a check digit.
Divide the ID number by 7. The check digit is the remainder.
Sum of digits = 7+8+3+9+2+0+8+1+4
⇒ 42
Now divide the sum by 7, the remainder is
⇒ 42 mod 7 = 42 - (5×7)
⇒ 42 mod 7 = 6
Hence we can conclude that the missing digit for the American Express Traveler's Check identification number is option (C) 6 is the correct answer.
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