Hey Verma,

There is solution of your problem

You can make a affidafite that ensure that satywan singh and satywan verma are the same person, it will cost arround 150 only or

Since it is difficult to change the name on your 12th / 10th certificates so you can change the name of your father in the adhaar card.

Just visit to your nearest pragya kandra and ask them to change your father name in adhaar card ie singh to verma.

Good luck!