If 8A5146B is divisible by 88, then what is the value of AB?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 81.
Since 88 = 8 × 11, the number 8A5146B must be divisible by both 8 and 11
The last 3 digits 46B must be divisible by 8
If B = 4 then 46B = 464 [Divisible by 8]
(8 + 5 + 4 + B) - (A + 1 + 6) = (17 + B) - (7 + A) = 10 + B - A = 14 - A
If A = 3 then 14 - A = 11
AB = 34 = 81