In this article I will show you the quick and dirty trick to disable the start up sound and the login sound, in Linux Mint 12 and Linux Mint 13.

Yes, I have said quick and dirty, because it does not disable the sounds, but renames the files that have to play, in those two situations.
Startup sound file : /usr/share/sounds/LinuxMint/stereo/system-ready.ogg
Login sound file : usr/share/sounds/LinuxMint/stereo/desktop-login.ogg
Bonus, Logout sound file : mv /usr/share/sounds/LinuxMint/stereo/desktop-logout.ogg
Disable the startup sound:
sudo mv /usr/share/sounds/LinuxMint/stereo/system-ready.ogg{,.old}
Disable the login sound:
sudo mv /usr/share/sounds/LinuxMint/stereo/desktop-login.ogg{,.old}
Bonus: Disable the logout sound:
sudo mv /usr/share/sounds/LinuxMint/stereo/desktop-logout.ogg{,.old}
If you do not understand the { } trick, read this article.
Re-enable the startup sound:
sudo mv /usr/share/sounds/LinuxMint/stereo/system-ready.ogg.old /usr/share/sounds/LinuxMint/stereo/system-ready.ogg
Re-enable the login sound:
sudo mv /usr/share/sounds/LinuxMint/stereo/desktop-login.ogg.old /usr/share/sounds/LinuxMint/stereo/desktop-login.ogg
Bonus, re-enable the logout sound:
sudo mv /usr/share/sounds/LinuxMint/stereo/desktop-logout.ogg.old /usr/share/sounds/LinuxMint/stereo/desktop-logout.ogg