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

Correct option is C

Given:

Number: 6745K2

Concept Used:

A number is divisible by 9 if the sum of its digits is divisible by 9.

Solution:

Sum of the known digits:

6 + 7 + 4 + 5 + K + 2 = 24 + K

For divisibility by 9, the sum 24 + K should be divisible by 9.

Now,  nearest number to 24 + K which is divisible by 9 is 27 

So, K = 3 gives 24 + 3 = 27 

Thus, option(C); 3 is correct