I have scored 16742 rank in Jee Advanced and 36400 in Mains, i can take admission in which college.

Dear Student, 

With a JEE Advanced rank of 16,742 and a JEE Main rank of 36,400, you have competitive options across top IITs, NITs, IIITs, and other premier engineering institutes. For IITs, your Advanced rank may secure seats in lower-tier IITs (like IIT Bhubaneswar, Mandi, Jammu, or Patna) for branches like Mechanical, Civil, Metallurgy, or Chemistry, though core CS/ECE might be difficult. Through JEE Main (36,400 rank), you can target ECE, EEE, or even CS/IT in mid-tier NITs (like NIT Silchar, Agartala, or Jamshedpur) and top IIITs (IIIT Guwahati, Lucknow, or Jabalpur). Private institutes like BITS Pilani (Hyderabad/Goa campuses for ECE/Mech), VIT Vellore (CS/IT), or IIIT Hyderabad (if eligible via DASA) are also strong backups.