Statement A (False): Any router can function as an ASBR, not just ABRs. An ASBR is any router that connects OSPF to an external network, regardless of area.
Statement B (True): Area 0 is the OSPF backbone area, and all other areas must connect to it.
Statement C (True): Area partitioning reduces LSDB size by limiting the scope of LSAs within an area.
Statement D (True): Routers in the same area have the same LSDB, ensuring consistency in link-state information.
Thus, the correct answer is A (False statement).
[Reference: HCIA-Datacom Study Guide, OSPF Area Concepts Section., , ]
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