twist $(\mathrm{X}, \mathrm{Y})$ is nothing but $\text{X} \odot \text{Y}$ which is complement of $\text{X} \Delta \text{Y}$.
So, $\text{twist(X,Y)}$ is the complement of Symmetric difference of $\text{X,Y.}$
Note that symmetric difference is also called Exclusive Or.
We know that $\text{X} \odot \text{Y}=\overline{\text{X}} \odot \overline{\text{Y}}$, So, Option D is correct.
Similarly, we know that $\overline{\text{X} \odot \text{Y}}=\overline{\text{X}} \odot \text{Y}$, So, Option A is correct.