Explanation:

- Statement 1:

- A writ of certiorari is issued when a tribunal or officer has legal authority to determine questions affecting rights of subjects.

- They must also have a duty to act judicially.

- This condition is necessary as certiorari is used to review judicial orders.

- Statement 2:

- The tribunal or officer must have acted without jurisdiction.

- Certiorari is used to correct jurisdictional errors, so this is essential.

- Option Analysis:

- Option 1: Incorrect, as statement 2 is also necessary.

- Option 2: Incorrect, as statement 1 is also necessary.

- Option 3: Correct, as both conditions are necessary for issuing certiorari.

- Option 4: Incorrect, as both statements are necessary.