Which option shows an incorrect matching of writ?

Correct answer: Habeas Corpus checks the legality of public office

The governing concept is the distinct purpose of each constitutional writ. Habeas Corpus protects a person against unlawful detention and asks that the detained person be produced before the court; it does not examine whether someone lawfully occupies a public office. Therefore, option A is the incorrect matching. Quo Warranto performs the office-related inquiry by questioning the legal authority of a person holding a public post. Mandamus commands performance of a public duty, and Prohibition prevents a lower court or tribunal from continuing a matter outside its jurisdiction. The decisive keyword is detention for Habeas Corpus, not public office.