Present day applications are often online and many candidates face this issue when they come for the document verification stage
If it is a simple spelling mistake or a wrong initial letter, the fill in the name you have on your 10th Marks card or the degree certificate and hope that when it comes to the document verification the authorities agree for the explanation you give and the documents you have in hand
1.Affidavit of your corrected name
2.Affidavit that the two names are the same person
3.Corrected certificates and Identity documents that have the same name.
If the date of the application is already completed, now is the time to get things in order
Make a list of the documents that do not have your correct given name with the surname and the initials, then you can get each of them corrected.
You can approach a good Notary in your place, he/she will help you to get a proper legal name affidavit that would have your proper name. Once this is done, please approach the offices of the local newspaper and ask for a name change advert to be published in one English and one vernacular language. Keep the original newspaper snippets with you. Then you can change your documents.
The procedure for changing PAN card, Aadhar card, Ration card Voters/Driving license and passport can be found here
Name correction for CBSE marks card can be found in this thread this thread