If 5B12 is divisible by 11, then find the value of B.
4
A number is divisible by 11 , if the difference between the sum of its digits in even places and the sum of its digits in odd places is either 0 or divisible by 11.
The given number is 5B12 .
We have sum of the digits in the even places = 2 + B
Sum of the digits in the odd places = 1 + 5 = 6
Difference between the sum of the digits in the odd places and the sum of the digit in the even places
⇒ B + 2 - 6 = B - 4
For the number to be divisible by 11:
⇒ B - 4 = 0/11/22/33.............
⇒ B = 4, 15,26................
Here B can be a single digit number.
∴ B = 4 and the number is 5412