They ask you the...

 - 1) Root (First / Bottom note of the chord.) 
 - 2) Position / Inversion
   (Which note of the chord is on the bottom of the given chord.) 
 - 3) Type (Major / minor / Augmented / Diminished.) 
 - 4) and the Roman Numeral that indicates the chord.

So lets take them in turn.

1) is self explanatory the note that the chord is based on C/E/G ie C chord --> C

2) Inversions considers the note that is in the bass (BOTTOM) in the example the G is in the bass ie 2nd Inversion. If the C was in the bass it would be in root position and if the e is in the bass it is 1st inversion.

3) The third question asks you the type of chord the main ones you may to expect at this stage of your theory education is

 - a) Major chords --> A chord with a Major Third and A Perfect Fifth
 - b) minor Chords --> A Chord with a minor third and a Perfect Fifth
 - c) Augmented Chords --> A chord with a Major third and a Augmented Fifth
 - d) Diminished Chords --> A Chord with a minor third and a Diminished Fifth.

The roman numerals gives the indication of the chord and on which note of the scale it is built on. You get...

 - (I) - (i) --> Tonic Chord (First note of the scale.)
 - (II) - (ii) --> Super Tonic (Second note of the scale.)
 - (III) - (iii) --> Mediant (Third note of the scale.)
 - (IV) - (iv) --> Sub Dominant (Fourth note of the scale.)
 - (v) - (v) --> Dominant (Fifth note of the scale.)
 - (VI) - (vi) Sub Mediant (Sixth note of the scale.)
 - (VII) - (vii) Leading Tone (Seventh note of the scale.)

Capital numerals indicate Major Chords
Lower Case numerals indicate minor chords
+ --> means augmented
little degree sign --> diminished Chord

5/3 means root position
6 means first inversion and 6/4 means second inversion.