If 8A5146B is divisible by 88, then what is the value of B - A?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 1
8A51468 is divisible by 88
so, it is divisible by 8 and 11 also.
for, divisbility by 8
46B should be divisible by 8
so, can put B = 4 and 464 divisible by 8
then, B = 4
again, divisibiltiy by 11
⇒ (8 + 5 + 4 + 4) - (A + 1 + 6), divisble by 11
⇒ 21 - (A + 7) = 14 - A , divisble by 11
put A = 3 ⇒ 14 - 3 = 11
so, A = 3
now, B - A = 4 - 3 = 1