The question «أَرَجُلٌ فِي الدَّارِ؟» asks whether any man is present; interrogation makes the indefinite beginning meaningful.
Additional example: أَطَالِبٌ حَاضِرٌ؟ — Is a student present? «طَالِبٌ» is an indefinite nominative mubtadaʾ, «حَاضِرٌ» its nominative khabar.
Contrast «الطَّالِبُ حَاضِرٌ»: here we ask or state something about an identifiable student.