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Yes, even such minor mistake may cause problem in future, particularly if you are selected/appointed in Government. This may create problem in property-related issues also. I suggest you to take the following steps:-
1. You have to sign an affidavit before a first-class magistrate of the city where you stay. The affidavit should be suitably-worded.
2. In addition, you have to give classified advertisment in one English newspaper and in one vernacular newspaper in this regard indicating both of your names.
3. You have to permanently preserve the original affidavit and the advertsiments to avoid future complications .
Beware! I question everything and everybody.