Dear Candidate,
As per rules & regulations, Aadhar card is one of the major ID proofs used in India. As per your query, your parents name on their & your cards do not match. Do not worry, you can always make a affidavit stating the mentioned persons name & identity are same.
Either ways, try rectifying the name(if possible)
It's also okay if you do not submit the Aadhar card as a ID proof, you can submit other documents as as ID proof too.
Hope this helps.
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