Notes on quantifier/Wh interaction

A sentence Like (1) may anticipate a pair-list answer Like (2) or a single answer like (3).(1) (1) What did every student buy? (2) John bought a book, Mary bought a pen, and Bill bought a tie. (3) Every student bought a book. Lasnik and Saito (1992) thenceforth, L&S) claim that both (2) and (3) are p ossible answers to (1) when every student takes wide scope over what.(2) In this interpretation (1) is asking, with respect to each individual student , what that student bought. This is roughly represented as in (4).