Here, we have focused to process inconsistent data through imprecise queries from a database which consists of neutrosophic and vague set. Neutrosophic set is based on truth, indeterminacy and false membership values where as vague set is based on truth and false membership value. Firstly, we have applied two different similarity measure formulas to measure closeness of two neutrosophic data and vague data which in turn are used to get the similarity value for each row with the query for vague and neutrosophic set and the query is totally based on imprecise data. Next, we provide a similarity measure based α-cut value to generate a SQL command for the imprecise query which is act upon both set. The query return back different result sets for different α-cut values for checking the closeness between two different set. Finally, we have given suitable examples of vague and neutrosophic set where we established that neutrosophic set gives much more accurate result for any kind of uncertain query rather than vague set.