Final answer:
The most likely problem is a mismatched OSPF version. Misconfigured hello timers and authentication failures can also cause routers to get stuck in the "Loading" state.Thus, the correct option is A.
Step-by-step explanation:
The most likely problem if routers are stuck in the "Loading" state in OSPF is a mismatched OSPF version. OSPF routers must have the same OSPF version to establish neighbor relationships and exchange routing information. If the routers have different OSPF versions, they will not be able to communicate properly.
Misconfigured hello timers can also cause routers to be stuck in the "Loading" state. The hello timer specifies how often OSPF routers send hello packets to each other. If the hello timer is set too high or too low on the routers, they may not be able to establish neighbor relationships.
Authentication failure is another possible cause. OSPF routers can be configured to use authentication to ensure that only trusted routers participate in the OSPF network. If there is an authentication failure between routers, they will not be able to establish neighbor relationships.
Therefore, the correct option is A) Mismatched OSPF versions