If 8A5146B is divisible by 88, then what is the value of AB?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 81
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
14 - 3 = 11 which is divisible by 11
Thus, A = 3
AB = 34 = 81