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Host A has the IP address 10.10.13.214.
The routing table in the exhibit shows different prefixes. The goal is to find the most specific (longest prefix match) route that includes 10.10.13.214.
The routing table includes the following relevant prefixes:
10.10.13.0/25 – Covers 10.10.13.0 to 10.10.13.127 (Host A 10.10.13.214 is NOT in this range).
10.10.13.128/28 – Covers 10.10.13.128 to 10.10.13.143 (Host A 10.10.13.214 is NOT in this range).
10.10.13.144/28 – Covers 10.10.13.144 to 10.10.13.159 (Host A 10.10.13.214 is NOT in this range).
10.10.13.208/29 – Covers 10.10.13.208 to 10.10.13.215 (Host A 10.10.13.214 IS in this range).
The best route is always the most specific match (longest subnet mask).
10.10.13.208/29 (Subnet mask: 255.255.255.248) is the most specific route that includes 10.10.13.214.
This means Router1 will forward traffic to 10.10.13.214 using the 10.10.13.208/29 prefix.
D. 10.10.13.208/29
Explanation:
Router1 uses the most specific prefix that matches the IP address of Host A, which is 10.10.13.214. The most specific prefix listed in the routing table that includes this IP address is 10.10.13.208/29. This subnet includes addresses from 10.10.13.208 to 10.10.13.215, which encompasses the IP address of Host A.
A. 10.10.10.0/28: This entry represents a directly connected network but doesn't include the network where Host A (10.10.13.214) resides.
B. 10.10.13.0/25: This entry represents a subnet that includes Host A's IP address. Router1 can reach this subnet via GigabitEthernet0/0, so it's a viable option.
C. 10.10.13.144/28: This entry represents another subnet but doesn't include the IP address of Host A.
D. 10.10.13.208/29: Similar to option C, this entry represents a subnet that doesn't include Host A's IP address.
From the provided options, the most appropriate prefix that Router1 uses for traffic to Host A (10.10.13.214) is B. 10.10.13.0/25 since Host A's IP address falls within that subnet range, and there's a specific route entry for it in Router1's routing table.
Therefore, the correct answer is option B.
10.10.13.208/29 and the entire IP acts as a Network ID, so the first IP is: 10.10.13.209, the last IP is: 10.10.13.214 and this last IP would be assigned to Host A, therefore, the router will go through 10.10.13.208/29 to reach to Host A.
Hence, the answer must be D
if we consider /29 , and quickly subnet we got next result
Network ID : 10.10.13.208
First host :10.10.13.209
Last host : 10.10.13.214
Broadcast :10.10.13.215
Next subnet 10.10.13.216
so the correct answer is "D"
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