A:
The writ of mandamus.
B:
The writ of quo warranto
C:
The writ of habeas corpus.
D:
The writ of certiorari.
E:
The writ of prohibition.
Explanation
The writ that the Supreme Court may use to inquire into the legality of a claim that a person asserts to a public office and to remove such a person from the public office if the claim is not well-founded is:
B: The writ of quo warranto.
Explanation:
The writ of quo warranto is used to challenge a person's right or authority to hold a public office. It inquires into the legality of a claim to a public office and can result in the removal of a person from that office if it is determined that they do not have a valid or legal claim to it. This writ is used to prevent individuals from wrongfully or unlawfully holding public positions.