Generally, when official settings like government exams are concerned, there's a need for a consistent name profile. Being able to fill out an application form which requires Aadhaar verification with a different name profile is itself very rare. However, if this has happened to you, then the problems will likely arise when the verification of your documents is done by the examination agency. The problem is real and many suffer from this. The solution to such human errors is generally an affidavit which you need to sign at the documentation desk to rectify the mistake made while filling out the application form.