On the IS-IS IPv6 network shown in the figure, multi-topology is enabled on all routers.

Comprehensive and Detailed In-Depth Explanation:

Understanding the IS-IS Network and IPv6 Route Summary Behavior

IS-IS Areas and Router Roles:

Area 49.0001 (Level-1-2): R1, R2, R4

Area 49.0002 (Level-1-2 & Level-1): R3 (Level-1-2), R5 (Level-1 only)

Effect of ipv6 summary 2000::/64 level-1-2 Command on R4

Route summarization in IS-IS allows an L1-L2 router (R4) to aggregate IPv6 prefixes and advertise a summary route (2000::/64) into both Level-1 and Level-2 areas.

This means R4 will advertise only 2000::/64 instead of specific /128 routes (like 2000::4/128).

All Level-1 and Level-2 routers connected to R4 will receive the summary route 2000::/64 instead of the detailed /128 routes.

Route Distribution Analysis for Each Statement

A. The routing table of R1 contains the route 2000::4/128. ✅ (True)

R1 is a Level-1-2 router in the same area (49.0001) as R4, so it receives both the summarized 2000::/64 route and the more specific 2000::4/128 route.

Since R1 is directly connected to R4, it can still learn the 2000::4/128 route.

✅ Statement A is true.

B. The routing table of R3 contains the route 2000::/64. ✅ (True)

R3 is a Level-1-2 router, meaning it can receive both Level-1 and Level-2 routes.

Since R4 (a Level-1-2 router) advertises the summarized 2000::/64 route into both levels, R3 will receive 2000::/64 in its routing table.

✅ Statement B is true.

C. The routing table of R2 contains the route 2000::/64. ✅ (True)

R2 is a Level-1-2 router in the same area as R4, meaning it receives the summarized 2000::/64 route.

This is expected behavior since R4 advertises the summary route into both Level-1 and Level-2 areas.

✅ Statement C is true.

D. The routing table of R5 does not contain the route 2000::/64. ❌ (False - Correct Answer)

R5 is a Level-1 router, meaning it can only receive Level-1 routes unless a default route is provided.

Since R3 (a Level-1-2 router) learns 2000::/64, it can propagate it into the Level-1 area (49.0002).

This means R5 will receive the summary route 2000::/64 from R3.

Thus, R5 does contain 2000::/64, making this statement false.

❌ Statement D is false (correct answer).

Final Conclusion:

✅ A. The routing table of R1 contains the route 2000::4/128. (True)

✅ B. The routing table of R3 contains the route 2000::/64. (True)

✅ C. The routing table of R2 contains the route 2000::/64. (True)

❌ D. The routing table of R5 does not contain the route 2000::/64. (False - Correct Answer)

Thus, the correct answer is: D. The routing table of R5 does not contain the route 2000::/64 (False Statement).