From Longman Dictionary of Contemporary Englishfire questions at somebodyfire questions at somebodyASK A QUESTIONto ask someone a lot of questions quickly, often in order to criticize them → fire
Examples from the Corpus
fire questions at somebody• The Professor had finished, and Ace and Daak were firing questions at her.• The young man took the seat behind the cold metal desk and began to fire questions at me. 