A large company is building a new branch office, and the network architect already determined...

The correct subnet choice is 192.168.32.0/27. The design must support at least five subnets and at least 25 usable hosts per subnet from a /24 allocation. A /27 leaves five host bits, giving 32 total addresses and 30 usable host addresses after excluding the subnet and broadcast addresses. It also borrows three bits from the /24 host field, creating eight equal /27 subnets, which satisfies the requirement for at least five departmental networks. A /26 provides 62 usable hosts, but only four subnets inside a /24, so it fails the subnet-count requirement. A /25 provides only two subnets. A /28 provides enough subnets but only 14 usable host addresses, which fails the host requirement. Cisco subnetting guidance uses exactly this host-bit and prefix-length calculation model when selecting VLSM blocks. Reference topics: IPv4 subnetting, CIDR prefix length, host-bit calculation, VLSM design, private IPv4 addressing.