Select the correct answerIf a number 774958A96B is divisible by 8 and 9, the respectively values of A and B will beOptions7 and 85 and 88 and 0None

To find the values of A and B, we need to understand the divisibility rules of 8 and 9.

1. A number is divisible by 8 if the last three digits of the number form a number that is divisible by 8.
2. A number is divisible by 9 if the sum of its digits is divisible by 9.

Let's apply these rules to the number 774958A96B.

1. For the number to be divisible by 8, the last three digits (6B) must form a number divisible by 8. The only way this can happen is if B = 0, because 960 is divisible by 8.

2. For the number to be divisible by 9, the sum of its digits (including A and B) must be divisible by 9. If we add up the known digits, we get 7+7+4+9+5+8+A+9+6+0 = 55 + A. For this sum to be divisible by 9, A must be 1, because 55 + 1 = 56, which is not divisible by 9. Therefore, A must be 8, because 55 + 8 = 63, which is divisible by 9.

So, the values of A and B that make the number 774958A96B divisible by both 8 and 9 are A = 8 and B = 0. Therefore, the correct answer is "8 and 0".