If 7845K854 is divisible by 11, then what is the value of K?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. 9.
Divisibility rule of 11:- A number is divisible by 11 if the difference between the sum of the digits at odd places and the sum of the digits at even places is 0 or a multiple of 11.
The given number is 7845K854
Sum of the digits at odd places = 7 + 4 + K + 5 = 16 + K
Sum of the digits at even places = 8 + 5 + 8 + 4 = 25
⇒ 16 + K - 25 = K - 9
⇒ K - 9 = 0
⇒ K = 9
Thus, the value of K is 9