Question

Several laptops in a hallway take a long time to acquire the wireless network. you have determined that there is a delay in obtaining an ip address on all devices in the hallway. the network administrator uses load-balancing on all access points, but you think there may be more devices attempting to get on the subnet than the network was designed for. you research and find the subnet mask to be 225.255.255.224. what is the maximum number of devices that can be active on this network at one time?

a. 8
b. 24
c. 30
d. 31
e. 64

Answer 1

The correct answer is option C, 30 devices. A subnet mask of 255.255.255.224 allows for a maximum of 30 usable IP addresses after accounting for one network address and one broadcast address.

Step-by-step explanation:

The correct answer is option C, which is 30 devices. To determine the maximum number of devices that can be active on a subnet, you must look at the subnet mask. The subnet mask in the question is incorrectly written as 225.255.255.224, but presumably, it should be 255.255.255.224.

When determining the maximum number of devices that can be active on a network, we need to consider the subnet mask. In this case, the subnet mask is 225.255.255.224. To find the maximum number of devices, we need to count the number of available host bits in the subnet mask.

The subnet mask 225.255.255.224 has 27 host bits. Each host bit can represent two values (0 or 1), with the exception of the network and broadcast addresses. The network address and broadcast address consume two of the available values, leaving us with 2^5 - 2 = 30 possible host addresses.

This subnet mask corresponds to a /27 prefix, since the last octet (224) translates to 3 bits for network (111 in binary) and 5 bits for hosts (00000 in binary). Since 2 to the power of 5 is 32 and we must subtract 2 for the network address and the broadcast address, this leaves us with a maximum of 30 usable IP addresses for devices.