The question asks us which of the following cannot be auctioned immediately before vase. Since table is auctioned on earlier date than harmonica or an earlier date than the vase, but not both, we have two possible scenarios:
H> T>V or V >T >H
Therefore, table must necessarily be auctioned in between the vase and the harmonica, which means the harmonica can never be auctioned on the day immediately preceding the vase (A).
The table could be auctioned off immediately before vase as (E) states, resulting in the following possible order: