same father name as of my adoptive mother

My mother is never married and she had adopted me from her real brother through registered adoption deed in 1978. at time of my school admission father name was needed and because mother is never married so she had registered her father's name (i.e. my real grandfather) in place of my father name.Can it create any prob in govt job or any issue.we both hav same father name on all our IDs and my certificates