Find the value of k in the number 3426k if the number is divisible by 6 but NOT divisible by 5.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 6
A number is divisible by 6 when it is divisible by both 2 and 3. Therefore, the last digit of the number must be even and the sum of its digits must be divisible by 3.
3426k divisible by 6 which means divisible by 2 and 3
From the options, only 4 and 6 can be the value of k.
⇒ When k = 4 = 3 + 4 + 2 + 6 + 4 = 19 which is not divisible by 3
⇒ When k = 6 = 3 + 4 + 2 + 6 + 6 = 21 which is divisible by 3
Hence, the value of k is 6.