Hi aspirant,
It should not be a major issue but it may cause some difficulties. However there is a simple to it, at the time of document verification you can carry a self attested affidavit claiming both the persons are same and it should be supported by relevant documents. It is the best possible and generally accepted solution. So the verification officer in all probability would understand your problem and do the needful.
Also do carry original copies of your Parents document which can be used for matching with the mentioned facts claimed in affidavit.
Hope it helps!!
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