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A company is opening a new site that needs to be divided into subnets that accommodate 75 hosts each. Which of the following is the most efficient subnet?
To support 75 hosts per subnet, you must choose a subnet size that provides at least 75 usable IP addresses. In IPv4, usable hosts per subnet equals 2^(host bits) 2 (subtracting network and broadcast). A /25 leaves 7 host bits (32--25 = 7), giving 2^7 2 = 128 2 = 126 usable hosts, which meets the requirement and is the smallest (most efficient) option listed that does so. A /26 leaves 6 host bits, giving 62 usable hosts, which is insufficient. A /27 gives 30 usable, and a /28 gives 14 usable, both far below 75. Network+ subnetting objectives emphasize selecting the smallest subnet that satisfies the host requirement to conserve address space while meeting growth and design constraints. Therefore, 192.168.13.0/25 is the most efficient option that accommodates at least 75 hosts per subnet.