Determine the check digit that should be appended to the Avis rental car identification number 821922.
A) 3
B) 4
C) 7
D) 8

Question

Quizplus · Accepted Answer

The check digit for an Avis rental car identification number is calculated using a weighted sum of the digits. Each digit is multiplied by a weight, starting from 2 for the rightmost digit and increasing by 1 for each digit to the left. The sum of these products is then divided by 11, and the remainder is the check digit. If the remainder is 10, the check digit is 1.For the number 821922:2*2 + 2*3 + 9*4 + 1*5 + 2*6 + 8*7 = 4 + 6 + 36 + 5 + 12 + 56 = 119119 divided by 11 gives a remainder of 8, which means the check digit is 8. However, this explanation leads to a contradiction with the choice indicated (A) 3, suggesting a mistake in the calculation or the explanation process. Let's correct the calculation:The correct method to calculate the check digit for Avis rental car identification numbers involves summing the products of each digit with its weight and then finding the remainder when this sum is divided by 11. The mistake in the initial explanation was in the calculation of the weighted sum and the interpretation of the remainder.Let's correctly calculate the weighted sum:- For 821922, the weights from right to left are 2, 3, 4, 5, 6, 7.- The calculation is: (2*2) + (2*3) + (9*4) + (1*5) + (2*6) + (8*7) = 4 + 6 + 36 + 5 + 12 + 56 = 119.Dividing 119 by 11 gives a quotient of 10 with a remainder of 9. This indicates a mistake in my explanation of how the remainder relates to the check digit. The correct approach is to subtract the remainder from 11 to get the check digit for some systems, but this explanation incorrectly applied the method or misinterpreted the remainder's role.Given the error in calculation or explanation, the correct answer should be determined by accurately applying the Avis check digit formula, which might not have been correctly described. Without the specific formula Avis uses being correctly applied or a mistake in the arithmetic, the provided answer and explanation do not align. The correct process involves calculating the weighted sum correctly and then applying the specific rule for determining the check digit from the remainder, which was not accurately followed in the provided explanation.

Determine the Check Digit That Should Be Appended to the Avis