Dear Sharwari, you will have to get the name corrected. Though Aadhar card is not mandatory for educational admissions any more, it is for the present. You never know when the rule might change and you will need Aadhar for educational purposes too. I would suggest you to get an affidavit done stating that you are known by both the names. And you can carry the proof along with you for admissions until you get it done. Its always better to get things corrected when it might pose a problem.