Which static route would enable traffic routing from clients on a 192.168.10.0/24 subnet to a server at 10.0.20.80?

The selection of the static route to 10.0.20.80 with a gateway of 192.168.10.5 is correct because it directly specifies the destination server's IP address alongside an appropriate gateway within the client's subnet. In routing, a static route is required to inform the routing device about how to reach a specific destination that is not directly connected.

In this case, clients on the 192.168.10.0/24 subnet must traverse through a specific point to effectively communicate with the server located at 10.0.20.80. Utilizing the gateway of 192.168.10.5 indicates that this address is responsible for forwarding packets intended for 10.0.20.80. Therefore, when traffic is generated from the client side towards the server's IP, the packets are sent first to their gateway, which in turn will know how to route them toward the server.

This configuration is vital since it sets up path decision-making for outbound traffic, ensuring that when the clients attempt to communicate with the server, they know precisely where to send their data for correct delivery. The other options do not sufficiently establish this direct communication pathway or misplace gateway addresses, leading to potential routing failures.