NIT

Hi,
The following are the other reputed institutions in India for engineering:
1) BITS Pilani
2) VIT University
3) Anna University
4) SRM University
5) Thapar University
6) IIIT Hyderabad
7) BITS Mesra
8) IISC Bangalore
9) College of Engineering, Pune
10) LPU
11) Manipal University
12) Amrita University
13) SASTRA University
14) Jadavpur University, Kolkata
15) PSG College of Technology Coimbatore

You have to register online. Visit the website and check for registration link.

The CAT entrance exam is a national entrance exam acceptable in India only.
For CAT coaching in Mumbai - refer https://www.growthcentre.org/cat-coaching-classes/
The GMAT entrance exam is accepted by universities in the USA, UK, Australia, New Zealand, Canada, Singapore and many European countries.
For GMAT coaching - refer to https://www.growthcentre.org/gmat-coaching-classes/
Obviously, GMAT has more weightage because it is internationally recognised by thousands of universities in the world.

Hi,
For getting admission into CSE branch in top 5 NITs, you need to score very well for that, so any score more than 200 is considered safe for getting admission.

Yes, you can expect but not all NIT's. You have a fair amount of chances, don't worry you will get admission in a good NIT.

Join NIT. The grooming and exposure will be altogether different from a local college.

Hi,
To get admission into NITs, IIITs and GFTIs under JEE counselling you need to have at least 75% (for general category), 65% (for SC, ST and PWD candidates) or be in the top 20 percentile from your board (in the top 20% students from your board).

Here are the NITs which provide aeronautical engineering branch:
National Institute of Technology, Tiruchirappalli
NIT,Warangal
NIT, Trichy
NIT Suratkal, Karnataka
NIT, Rourkela
NIT, Kurukshetra
Neither of the IITs and BITS have aeronautical in their courses.