If 7845K854 is divisible by 11, then what is the value of K?

Correct option is B

 Given Data:
- Number: 7845K854
- Divisibility by 11 required.
​
Formula Used:
For divisibility by 11:
​$$\text{(Sum of odd-place digits)} - \text{(Sum of even-place digits)} \text{ must be divisible by 11.}$$​​

Solution:
1. Sum of odd-place digits: $$7 + 4 + K + 5 = 16 + K$$​​
2. Sum of even-place digits: 8 + 5 + 8 + 4 = 25. Divisibility Condition:
($$16 + K) - 25 \equiv 0 \ (\text{mod} \ 11)$$​​
$$K - 9 \equiv 0 \ (\text{mod} \ 11) \Rightarrow K = 9$$​​
Ans: 9