JEE Main

There is no use of test series if you have not completed your syllabus or if you have not revised it.
2.Test series with their toughness order
Fiitjee AITS &get; BANSAL &get; resonance &get;allen
Fiitjee AITS and bansals test series are not for faint hearted or weakling.you can be demotivated by their toughness level. so better judge your preparation and then decide .as you can learn from my brother aakash (blog atPrepsera) and others who actually fight hard and later become god's of JEE rank - that they were never a person with low confidence they were fighters no matter what is the difficulty level of the problem they always tried on their own to solve them and later they became best brains of the country.

Saurabh,
Your rank is going to be between 27,000 to 46,000. Use the link below to know the type of college you will get with these marks:
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor
Going for a newly opened IIIT won't be a good idea, as it will take time for the new place to establish it properly.
With this JEE score, you can get you a seat in some of the best private universities like Lovely, Galgotias, Goenka, etc. Most of these universities are offering admissions on the basis of JEE score, their own tests and 12th marks. Some of them are also offering good scholarships on the basis of above mentioned criteria.
Private universities these days are at par with government ones only, in fact better when it comes to infrastructure, faculty and placements.
Check the websites of some of these universities too for more details.