In Spanning Tree Protocol (STP), the switch with the lowest bridge priority takes over as the root switch when the current root switch goes offline. If the primary and secondary root switches both have a priority of 16384 and go offline, the tertiary switch that can become the root switch must have a lower priority than 16384.
Here are the priorities of the switches in your options:
- A switch with priority 12288 (lower than 16384)
- A switch with priority 20480 (higher than 16384)
- A switch with priority 8192 (lower than 16384)
- A switch with priority 4096 (lower than 16384)
Based on this, the switches with priorities 12288, 8192, and 4096 are all eligible to become the root switch.
Therefore, the tertiary switch that can take over as the root switch can be:
- A switch with priority 12288
- A switch with priority 8192
- A switch with priority 4096
The correct answers are thus:
- A switch with priority 12288
- A switch with priority 8192
- A switch with priority 4096
If only one option is allowed as a correct answer, then you can choose the one with the lowest priority, which is A switch with priority 4096.