Which of the following statements is false?
A. One such number is $4$.C. $36$ satisfies those conditions.D. Smallest such number is $19$.
Option B is not possible.
$6 = 3 \times 2\\9 = 3 \times 3$
So, if a number $n$ is divisible by $9$, then it is either divisible by $6$, or leaves a remainder of $3$ when divided by $6$.
Hence, option B is our answer.