If you sit for the engineering counselling and if you go for the verification of documents, then if they ask for the Aadhar Card as an Identity then they can ask you about this. You can say about your problem (the mistake in aadhar card) and its expected that you will not have to face any serious issues. But I would always recommend you to have the correction done because any mistakes must not be kept as it can cause problem in future. But for sure there will be not much of a problem due to this.

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