Small trick.Let us assume you know a song which has 3 Major chords and another one which has 3 Minor chords.When you start the tune it moves in a 'major' sort of way and the second one will decidedly be 'minor' sounding.You know when you do ear training and start using inversions initially you will be quite thrown with these sounds,though they are major or minor.Here's what you can do...
Sing your major or minor song over whatever inversion and you will immediately know what inversion it is.Its like remembering a familiar turn from your childhood to learn left and right. Try this its really cool :)