Which digit should come in place of * in the number 8*9632 to make it divisible by 11?
Answer: A
A number is divisible by 11 if the difference of the sums of alternating digits is 0 or a multiple of 11.
Let's sum the digits in odd positions (from the right): 2 + 6 + * = 8 + *.
Let's sum the digits in even positions (from the right): 3 + 9 + 8 = 20.
The difference is \(|(8 + *) - 20| = |* - 12|\).
We need \(|* - 12|\) to be 0 or a multiple of 11.
If \(* - 12 = -11\), then \(* = 1\). Since * must be a single digit, this is a valid solution.
If \(* - 12 = 0\), * would be 12 (not a digit). If \(* - 12 = 11\), * would be 23 (not a digit).
So, the required digit is 1.