Determine the check digit that should be appended to the airline ticket identification number 28143298311.
A) 2
B) 3
C) 4
D) 5

Question

Quizplus · Accepted Answer

The check digit for an airline ticket identification number is calculated using the modulus 7 check. To find the check digit, sum the digits of the number and then find the remainder when this sum is divided by 7. For the number 28143298311, the sum of the digits is 2+8+1+4+3+2+9+8+3+1+1 = 42. When 42 is divided by 7, the remainder is 0. Since the sum of the digits plus the check digit must be a multiple of 7, the check digit in this case must be 7 - 0 = 7. However, since 7 is not an option, it seems there was a mistake in my calculation. Let's correct that: The correct process involves directly applying the modulus operation to the given number plus the potential check digit options to see which one results in a total that is a multiple of 7. For the number 28143298311, we directly test each option:- Adding 2: (28143298311 + 2) mod 7 = 28143298313 mod 7 = 5 mod 7- Adding 3: (28143298311 + 3) mod 7 = 28143298314 mod 7 = 6 mod 7- Adding 4: (28143298311 + 4) mod 7 = 28143298315 mod 7 = 0 mod 7- Adding 5: (28143298311 + 5) mod 7 = 28143298316 mod 7 = 1 mod 7Given the mistake in the initial explanation and the lack of correct calculation based on the provided options, the correct approach is to calculate the sum of the digits and then determine what needs to be added to make it divisible by 7. The correct sum of the digits is 2+8+1+4+3+2+9+8+3+1+1 = 42. To make 42 divisible by 7, no additional number is needed, indicating a misunderstanding in the application of the modulus 7 check for this specific question. Without the correct method for applying the options to the given number, an accurate answer cannot be provided based on the initial explanation. The correct method involves understanding the specific algorithm used for airline ticket identification numbers, which typically involves a more complex calculation than a simple modulus 7 of the sum of the digits. Given the options and the correct approach to such calculations not detailed here, a precise recalibration of the explanation is necessary.

Determine the Check Digit That Should Be Appended to the Airline