Final answer:
The purpose of the given command is to perform a random IP address scan using different ping techniques and specific ports without host discovery.
Step-by-step explanation:
The purpose of the given input command 'nmap -iR 10 -PS22-25,80,113,1050,35000 -v -sn' is to perform a random IP address scan using ICMP ping and TCP SYN ping to specific ports in verbose mode without host discovery. The command uses the '-iR 10' option to select 10 random IP addresses, and the '-PS22-25,80,113,1050,35000' option to specify the ports for the ping scans. The '-v' option enables verbose output, and the '-sn' option disables host discovery.