Which of the following would a new administrator quickly determine if a network has a vlan for its publicly accessible servers?

Logical Network Diagrams.

Explanation:

Network Diagrams is the visual diagram that represents the networking of telecommunications and computer. There are two types of network diagrams- Physical and Logical.

Logical Network Diagram represents the information that flows through a network. The diagrams shown in the logical network diagram are routers and firewalls, VLAN Ids, IP address, traffic flow, etc. Logical Network Diagram is helpful in troubleshooting.

Logical Network Diagram helps in determining whether a network has VLAN for public assessing or not.

So, the correct answer is the Logical Network Diagram.