You would hardly ever see a cat walking outside of the house with its master. ----------- would you see a teenager in public with his or her parents very often.

This sentence uses the correlative conjunction pattern 'so...hardly' to draw a parallel between two situations. Just as you would hardly see a cat walking with its master, so you would hardly see a teenager with their parents. The word 'so' in the first clause sets up this comparison, making option A correct. Options B 'and', C 'both', and D 'neither' don't correctly establish this correlative relationship.