1. A network administrator needs to connect three devices using the least amount of cable. If the devices are positioned at the corners of a triangle with sides measuring 3m, 4m, and 5m, what is the minimum cable length required to connect all devices?
2. You have a network of 10 computers. If each computer can directly communicate with any other computer, how many unique pairs of computers can be formed?
3. A routing table has entries for various subnets. If you remove 5 entries and the total number of remaining entries is 12, how many entries were there initially?
4. In a mesh network consisting of 6 nodes, if each node is connected to every other node, how many total connections exist in the network?
5. You are tasked with troubleshooting a network issue where two devices cannot communicate. If you determine that the devices are on different VLANs, explain how you would troubleshoot and resolve this issue.
6. Given a series of network performance data points (latency in ms): [20, 18, 25, 30, 22], calculate the mean, median, and standard deviation of this dataset.
7. A network device is sending packets at a rate of 150 packets per second with a packet size of 1.5 KB. Calculate the total amount of data (in MB) sent in one hour.
8. If a network link operates at 1Gbps and you want to transfer a file of 2GB, approximate how long the transfer will take under ideal conditions.
9. There are 8 switches configured in a redundant topology. What is the minimum number of switches that must fail for the network to lose connectivity?
10. A user reports that they cannot access a web page, but the DNS server is responding correctly. Describe a logical methodology to isolate and resolve the issue.
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