I beleive -Q is somewhat like quiet output
Do not display ICMP error messages that are in response to our query messages. Originally, the -v flag was required to display such errors, but -v displays all ICMP error messages. On a busy machine, this output can be excessive. Without the -Q flag, ping prints out any ICMP error messages caused by its own ECHO_REQUEST messages.
Someone can correct me if I am wrong.