I am studying for my exam in signal processing. In one of the old exam papers I am told to find a sampling frequency, which will remove 80 Hz noise. The filter the exam question is based around has an impulse response $h[n]$ of

\begin{bmatrix}
-3&0&-3&0
\end{bmatrix}

My approach is to just choose the sampling frequency at a multiple of the noise frequency. In this case, I would choose it to be 320 Hz, since 4 samples gives a sum of 0. When doing a DFT with the known impulse response it would also result in a net 0 frequency response.

Does this seem like a sustainable approach?