Hi,
if you do not (at some point) pass the examen you can not use the special rules for graduates.
But it dosen't matter if you do not pass in first attempt.
If you have been free study-member you should be aware that you can have that for maximum 5 years, but it seems not to be problem for you, because you graduate with a bachelor.
If you do not pass any examen at all and quit the study - you only can get unemployment benefits if you meet the normal requirements for employed people.
Hope it clarifies, otherwise write a comment on this.
Anders,
A-kasser.dk