Hello,
You can provide an affidavit mentioning your correct name and provide it at the time of document verification. In doing so you won't face any problem. And we would suggest you to request the college administration to make the necessary corrections in the provisional certificate so that you will not face any issue in future for higher studies or job recruitment. Your name must be same in all documents such as class 10th certificate, class 12th certificate, degree certificate etc.
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