The key to this problem is the subnet mask: 255.255 .255 .224 .
- The first three octets ( 255.255 .255 ) are straightforward. The last octet, 224 , is where the division happens.
- In binary, 224 is 11100000 . This means the first 3 bits of the last octet are used for the network address, and the last 5 bits are for host addresses.
- The "magic number" or block size for this subnet mask is $256-224=32$. This means our subnets will be in blocks of 32 addresses.
Starting from 0 , we can map out the subnets for the $192.168 .50 . x$ network:
- Subnet 1: 192.168.50.0 (Network ID) to 192.168.50.31 (Broadcast ID)
- Subnet 2: 192.168 .50 .32 to 192.168 .50 .63
- Subnet 3: 192.168 .50 .64 to 192.168 .50 .95
- Subnet 4: 192.168 .50 .96 to 192.168 .50 .127
- ... and so on.
Now, we just need to see which range each device's IP address falls into:
- Server (S): 192.168.50.78
- 78 is between 64 and 95 , so it's in Subnet 3.
- Workstation (W): 192.168.50.65
- 65 is between 64 and 95, so it's in Subnet 3.
- Router (R): 192.168.50.94
- 94 is between 64 and 95 , so it's in Subnet 3.
- Printer (P): 192.168.50.97
- 97 is between 96 and 127 , so it's in Subnet 4 .
The Server, Workstation, and Router all share the same network address ( 192.168 .50 .64 ), placing them on the same subnet. The Printer has a different network address ( 192.168.50.96 ), putting it on a separate subnet.
Therefore, option A is the correct choice.