You can check the top institute below

Government

Indian Institute of Technology Madras

Indian Institute of Technology Bombay

Indian Institute of Technology Kharagpur

Indian Institute of Technology, Kanpur

Indian Institute of Science, Bangalore

Indian Institute of Engineering Science and Technology, Shibpur

Private

Birla Institute of Technology, Mesra

SRM University, Chennai

Dear Ashish,

Manipal university conducts his own entrance exam to provide admission. 

Application forms are already out. Last date to apply for the application form is 11th March, 2018. 

To fill the application form you can refer below link

https://manipal.edu/mu/lp/mit-btech-Ca.html?utm_source=media&utm_medium=careers360&utm_campaign=apfr

You can check the cut off from the given below

• In your class 12th board exam you need to score at least 75 % or to be in top 20 percentile of your respective board.

Hey,

Both engineering streams are good, go with your interest.

•To know about the subjects, job prospects, scope in automation and robotics engineering, go through this link-:
https://engineering.careers360.com/automation-and-robotics-0?amp

•And click here for aerospace engineering-:
https://www.careers360.com/aerospace-engineering-course

All the best!

Are you asking about recruitment to PSUs through GATE? The only PSU with an option for Aeronautical Engg/Aerospace Engg is DRDO. Unfortunately application for recruitment through GATE at DRDO closed on January 5, 2018. 

Please check the list of PSUs and the disciplines involved, from the below link

https://engineering.careers360.com/articles/psu-recruitment-through-gate

In order to get admission in Aeronautical Engineering you have to appear for the entrance exam like JEE (Main+Advanced), COMEDK,  Manipal and your state level entrance exam.

To know in detail about these entrance exam you can refer below link 

List of Engineering Exams

Good Luck!!

You can do below courses in Aeronautical engineering

1- Diploma course- You can do after your 10th or 12th class

2- B.E/B.Tech course- It is a UG course which you can do after completing your 12th class

3- M.E/M.Teh course- It is a PG course which you