What type of jurisdiction gives the Supreme Court the authority to a grit of certiorari?

A. Original jurisdiction.
B. Rule 10.
C. Appellate jurisdiction
D. Appellate and original jurisdiction

C. Appellate jurisdiction

The correct answer is C. Appellate jurisdiction.

To understand why, let's break down the options:

A. Original jurisdiction: This refers to a court's authority to hear a case for the first time. The Supreme Court does have original jurisdiction in certain types of cases, such as disputes between states. However, the granting of a writ of certiorari does not fall under the Supreme Court's original jurisdiction.

B. Rule 10: Rule 10 is a specific rule of the Supreme Court regarding the filing of petitions for writ of certiorari. It outlines the procedures and requirements for submitting a petition. However, it does not give the Supreme Court the authority to grant the writ itself.

C. Appellate jurisdiction: Appellate jurisdiction refers to a court's authority to review decisions of lower courts. This is the type of jurisdiction that gives the Supreme Court the authority to issue a writ of certiorari. The Supreme Court exercises its discretionary power to grant certiorari and review cases that have gone through the appellate process in lower courts.

D. Appellate and original jurisdiction: This option combines both types of jurisdiction. While it is true that the Supreme Court has both appellate and original jurisdiction, when it comes to the granting of a writ of certiorari, it falls under the Court's appellate jurisdiction.

Therefore, the correct answer is C. Appellate jurisdiction.