Find the value of K such that the number k53206k is divisible by 6.
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 4
For a number to be divisible by 6, it must be divisible by 2 and 3
For k53206k to be divisible by 2, k must be an even number
For k53206k to be divisible by 3, the sum of its digits should be divisible by 3.
k + 5 + 3 + 2 + 0 + 6 + k = 2k + 16 should be divisible by 3
⇒ (2k + 16)/3 = 15/3 + (2k + 1)/3
⇒ 5 + (2k + 1)/3
K must be 4 so that 2k + 1 = 9 which is divisible by 3
Thus, k = 4