Which writ is issued by the court to inquire into the legality of a claim of a person to a public office?

Which one of the following writs is issued by the Supreme Court to secure the freedom of a person upon unlawful arrest?

The Writ of Certiorari is issued by a Superior Court

A writ issued to secure the release of a person found to be detained illegally is

A Writ of Prohibition is an order issued by the Supreme Court or High Courts to:

When the Supreme Court issues a writ to a person or to an institution to perform its duty, it is called