Dear Abhadeep,
In IIT you wont be geting even any of the IITs and you will have to pursue a degree in ISM with some 5 year course. Not a good option
In AIEEE your rank is quite good and you will be making into the best of NITs with a branch of your choice. and regarding BITSAT you will be getting any of the branch at pilani except Comp. Sc. and Electrical.
For last year cutoff of BITS refer : -
www.askiitians.com/Engineering-Exams/BITSAT/BITSAT-Cutoffs
For last year NITs cotoff refer : -
www.askiitians.com/Engineering-Exams/aieee-counselling/aieee-engineering-counsellings.aspx
At these ranks prefer to pursue your degree at either of the three in a preferance order : -
- BiTS, Pilani
- NIT, Trichy
- NIT, Warangal
Thank you.