Hi NSV and all,
To get your general question out of the way with a general answer, there are far too many to even begin to discuss here, the possibilities are endless. Third order is the most common and most difficult to deal with unless the frequencies are known and you know how to do the complex equasions to deal with it. This alone leaves it a hit or miss proposition for those less than a degree or Amateur Extra license. If you think that's tricky, the source may be outside the radio altogether, a rectifying contact between two metal surfaces somewhere in the neighborhood. Ug, sure gets sticky! Maybe someday I'll tell you about how a bad ground injected audio from a broadcast station into a repeater last summer and how it was discovered and fixed. WOR on 2M? Yeah, it happened.
OK, so we get lucky once in a while like you did, you found the frequency of the strongest signal and notched it out. The best solution is a proper receiver which has a good front end but that is usually a pricy one and then too you have to be knowlegable of more than the published specs. Nope, they never include the dynamic range figures critical to the "equasion", you probably will never find out unless you have acess to a testing lab and some awfully expensive equipment and of course know how to use it, that leaves out the casual user. Back to the hack and whack method, that sometimes means hacking together a coaxial stub which often works surprisingly well but again you have to know the frequency and the equasion to plug it into to get the right length. Cheap and dirty? Sure is but often is quite enough before we have to get out the big guns, bandpass, bandstop and notch filters.
Continued next week, 1001 uses for bits of scrap coax or how I towed a '56 Chevy with RG-8U.