Which writ can be issued against a private trust/institution for failu

Which writ can be issued against a private trust/institution for failure to give effect to rules made by the Government?

Mandamus
Prohibition
Quo warranto
Certiorari
This question was previously asked in
UPSC Combined Section Officer – 2019-20
The writ of Mandamus is issued by a court to a public official, body, or lower court requiring them to perform a specific public or statutory duty which they are legally bound to perform. While typically issued against state authorities, Mandamus can also be issued against private bodies if they are performing a public function or failing to fulfill a statutory duty imposed by law, including rules made by the government that are binding on them.
Mandamus is a command to perform a duty.
The other writs are generally not applicable in this specific scenario: Prohibition prevents exceeding jurisdiction (for courts/tribunals), Certiorari quashes an order for lack of jurisdiction or error of law (for courts/tribunals), and Quo Warranto questions the authority to hold a public office.