The aim of this study was to examine the acquisition and processing of multiple who- and which-questions in Romanian that display ordering constraints and involve exhaustivity. Toward that aim, typically developing Romanian children (mean age 8.3) and adults participated in a self-paced listening experiment that simultaneously investigated online processing and offline comprehension of multiple wh-questions. The study manipulated the type of wh-phrase (who/which) and the order in which these elements appear (subject–object [SO]/object–subject [OS]). The response to the comprehension question could address the issue of exhaustivity because we measured whether participants used an exhaustive or a non-exhaustive response. Our findings reveal that both children and adults slow down when processing who- as compared to which-phrases, but only adults show an online sensitivity to ordering constraints in who-questions. Accuracy is higher with multiple who- than which-questions. The latter pose more difficulties for comprehension, particularly in the OS order. We relate this to intervention effects similar to those proposed for single which-questions. The lack of intervention effects in terms of reaction times indicates that these effects occur at a later stage, after participants have heard the whole sentence and when they interpret its meaning.