Hello Aspirant
No, this will not be a problem with either your mother or your document verification. It is not a rule in India to have the same surname as your mother or father, you can choose to drop your surname and it will never be a problem. It is also not a compulsion for a wife to take their husband's name. So, you can rest assured that this will not pose a problem in your document verification in SSC JE.
Hope this helps
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