Question

For what value of 'K' is the number 6745K2 divisible by 9?

• A. 1
• B. 4
• C. 3
• D. 2

Answer 1

Answer:

C. 3

The value of K is 3.

• Divisibility Rule of 9: A number is divisible by 9 if the sum of its digits is a multiple of 9.

• Sum of the known digits:
  $6 + 7 + 4 + 5 + 2 = 24$

• Find K: The next multiple of 9 after 24 is 27.
  $24 + K = 27$
  $K = 27 - 24 = 3$