Explanation:

Correct option is 3: 1

Divisibility rule of 8: If the last three digits of a number is divisible by 8, the number will be divisible by 8
Divisibility rule of 11: The provided integer is divisible if the difference between the sum of the digits at odd places and the sum of the digits at even places is 0 or divisible by 11.
Calculation:
8A5146B is divisible by 88
So, 8A5146B is divisible by 8 and 11
⇒ 46B should be divisible by 8
Put B = 4, 464 is divisible by 8
Hence, B = 4
Now, 8A51464 should be divisible by 11
⇒(8+ 5 + 4 + 4) - (A + 1 + 6) should be divisible by 11
⇒ 21 - (A + 7) should be divisible by 11
⇒ 14 - A should be divisible by 11
Put A = 3 then, 14-3 = 11 which is divisible by 11
So, A = 3
Now, B - A = 4 - 3 = 1