The question is: “_____ los formularios el bolígrafo se quedó sin tinta.”
I chose “Mientras yo llenaba” since the translation was “While I was filling out the forms, the pen ran out of ink.”
Kwizbot says that “rellenando” is also correct, and I’m not sure why. The sentence “Rellenando los formularios el bolígrafo se quedó sin tinta” sounds as though the pen was doing the filling out—there’s no other subject expressed.