Find the greatest value of ‘k’ in a 6-digit number 6745k2 such that the number is divisible by 3.
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e 9.
Divisibility rule of 3: A number id divisible by three when the sum of the digits of the number is divisible by 3.
According to the given question,
Given number = 6745k2
Sum of digits = 6 + 7 + 4 + 5 + k + 2
⇒ 24 + k
The numbers that can take place of k are 0, 3, 6, 9
Hence the required answer is 9.