I don't know about NSIT but you can surely get into DTU and that too into one of the core branches like Electrical engineering, Mechanical engineering and Civil engineering. And also, you stand decent chance of getting Electronics and Communication engineering after the 6 rounds of counseling.

But, don't get you hopes too high for the first round as the cut off for first round is usually high. Expect the above mentioned branches to be allotted to you after 2–3 rounds of counseling.