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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.
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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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D.10.10.13.208/29
Host A = 10.10.13.214
10.10.13.208 has inc of 8 from /29 with highest subnet mask(Longest Prefix)
10.10.13.208 - 10.10.13.216 is in range for 10.10.13.214
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