14 ways to evade a question with impressive-sounding illogic

1a. Both.

1b. Neither.

2a. Both both and neither.

2b. Neither both nor neither.

3a. Both both both and neither and neither both nor neither.

3b. Neither both both and neither nor neither both nor neither.

4a. Both both both both and neither and neither both nor neither and neither both both and neither nor neither both nor neither.

4b. Neither both both both and neither and neither both nor neither nor neither both both and neither nor neither both nor neither.

5a. Both both both both both and neither and neither both nor neither and neither both both nor neither nor neither both nor neither and neither both both both and neither and neither both nor neither nor neither both both nor neither nor neither both nor neither.

5b. Neither both both both both and neither and neither both nor neither and neither both both and neither nor neither both nor neither nor neither both both both and neither and neither both nor neither nor neither both both and neither nor neither both nor neither.

6a. Both both both both both both and neither and neither both nor neither and neither both both and neither nor neither both nor neither and neither both both both and neither and neither both nor neither nor neither both both and neither nor neither both nor neither and neither both both both both and neither and neither both nor neither and neither both both and neither nor neither both nor neither nor neither both both both and neither and neither both nor neither nor neither both both and neither nor neither both nor neither.

6b. Neither both both both both both and neither and neither both nor neither and neither both both and neither nor neither both nor neither and neither both both both and neither and neither both nor neither nor neither both both and neither nor neither both nor neither nor neither both both both both and neither and neither both nor neither and neither both both and neither nor neither both nor neither nor neither both both both and neither and neither both nor neither nor neither both both and neither nor neither both nor neither.

7a. Both both both both both both both and neither and neither both nor neither and neither both both and neither nor neither both nor neither and neither both both both and neither and neither both nor neither nor neither both both and neither nor neither both nor neither and neither both both both both and neither and neither both nor neither and neither both both and neither nor neither both nor neither nor neither both both both and neither and neither both nor neither nor neither both both and neither nor neither both nor neither and neither both both both both both and neither and neither both nor neither and neither both both and neither nor neither both nor neither and neither both both both and neither and neither both nor neither nor neither both both and neither nor neither both nor neither nor neither both both both both and neither and neither both nor neither and neither both both and neither nor neither both nor neither nor neither both both both and neither and neither both nor neither nor neither both both and neither nor neither both nor neither.

Last but not least,

7b. Neither both both both both both both and neither and neither both nor neither and neither both both nor neither nor neither both nor neither and neither both both both and neither and neither both nor neither nor neither both both nor neither nor neither both nor neither and neither both both both both and neither and neither both nor neither and neither both both nor neither nor neither both nor neither nor neither both both both and neither and neither both nor neither nor neither both both nor neither nor neither both nor neither nor neither both both both both both and neither and neither both nor neither and neither both both nor neither nor neither both nor neither and neither both both both and neither and neither both nor neither nor neither both both nor neither nor neither both nor neither nor neither both both both both and neither and neither both nor neither and neither both both nor neither nor neither both nor neither nor neither both both both and neither and neither both nor neither nor neither both both nor neither nor neither both nor neither.

Or in general,

(n)a. Both (n-1)a and (n-1)b.

(n)b. Neither (n-1)a nor (n-1)b.