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352-001 · Question #643

In an Ethernet link containing five routers with OSPF network interface type configured as broadcast, how many OSPF adjacencies are established on this Ethernet link?

The correct answer is A. 7. On an OSPF broadcast segment with 5 routers, the DR/BDR election model limits adjacencies to 7 - not a full mesh - because DROthers only form adjacencies with the DR and BDR.

Layer 3 Control Plane

Question

In an Ethernet link containing five routers with OSPF network interface type configured as broadcast, how many OSPF adjacencies are established on this Ethernet link?

Options

  • A7
  • B5
  • C10
  • D20
  • E6

How the community answered

(40 responses)
  • A
    73% (29)
  • B
    15% (6)
  • C
    8% (3)
  • D
    3% (1)
  • E
    3% (1)

Why each option

On an OSPF broadcast segment with 5 routers, the DR/BDR election model limits adjacencies to 7 - not a full mesh - because DROthers only form adjacencies with the DR and BDR.

A7Correct

With 5 routers on a broadcast segment, OSPF elects 1 DR and 1 BDR, leaving 3 DROthers; each DROther forms adjacencies with only the DR and BDR (not each other), yielding 1 DR-BDR + 3 DR-DROther + 3 BDR-DROther = 7 total adjacencies.

B5

5 adjacencies is incorrect because it accounts for only one adjacency per router, ignoring that each DROther must maintain two adjacencies - one to the DR and one to the BDR.

C10

10 is the full-mesh result using n*(n-1)/2 = 10 for 5 routers, which applies to non-broadcast or point-to-point OSPF network types where no DR/BDR is elected.

D20

20 does not correspond to any valid OSPF adjacency calculation for 5 routers under any OSPF network type.

E6

6 undercounts by one - the correct total of 1 DR-BDR adjacency plus 3 DR-DROther plus 3 BDR-DROther equals 7, not 6.

Concept tested: OSPF DR/BDR adjacency count on broadcast networks

Source: https://www.cisco.com/c/en/us/support/docs/ip/open-shortest-path-first-ospf/13679-23.html

Topics

#OSPF#DR/BDR election#broadcast network#adjacency count

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