Engineering

Yes, you are eligible for M.Tech in IIT, Kharagpur, I have checked the eligibility it says you have to score 60% in your graduation and the GATE score depends on the ranking. You can check more about it on the following link:-
https://www.shiksha.com/engineering/course/m-tech-in-solid-state-technolog

Yes, you are eligible to take admission in many institutions. The cut-off for M.Sc. in Mathematics is 50% aggregate. But in some colleges, you have to take an entrence exam. You can check the best colleges near to your location here:
Shiksha. Com.

It's difficult to say you'll get the admission. Still, I would suggest you to apply.
For previous year's cut-off, visit:
www.dtemaharashtra.gov.in

Hello Anushree,
The fees charged by the colleges for admission against management quota is closely guarded secret. No institution publishes it. In fact rule of thumb is, more applicants then more fees and vice versa! If you have good bargaining skills you may end up paying quite less.

Hello Yuvaraj,
Different colleges in Maharashtra offering aeronautical engineering branch have different entrance exams as the qualification. Actually, a very less number of private colleges offer this since placement is a big issue. However, with about 50K seats remaining unfilled across Maharashtr

Sorry, but as per your location, I could't find any colleges providing Automobile Engineering. But you can search colleges in your nearby locations like Pune, following is the link where you can find Automobile Engineering colleges in Pune:
https://www.shiksha.com/search/?q=Automobile+Engineering&sp[