See mistakes in aadhar card is quite common. SO during the counselling you can take the aadhar card and show the officials there is they ask so. As Aadhar card have the image of the holder then the question of discrepancy will be easily verified.

But as this is a problem and if you have time, then you can go to the aadhar seva kendra nearest to you and apply for correction. They will give you a receipt which you can show during verification that you have applied for the correction as well as also. Doing this will correct your problem as well as you will be tensionless regarding the problem.

I hope this helps. All the very best for your future endeavors!