Engineering Entrance Exam

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

If you are not good in mathematics, then there is no problem, but you should improve some topic of mathematics, like integration differentiation, trignomatery. Because, it is very useful in every subject.

Free book is not available online on made easy.

JEE Mains is one of the toughest exam of India. It is not easy to crack in one week. It is depends on your study of class 11th and class 12th. If you are good in PCM, then there is no problem to crack the JEE Mains.

Sorry, but don't think you will get a government college, but you can try some other university examination.

Hello Kapil, It is a very good query that you have raised. What to do after class 12th? The trend of parents is MBBS or engineering. Former is very tough and for the later, situation is grim with almost 50% fresh graduates not finding placements. I would rather advise you to have a look at different

Preparation strategy for JEE Main and Advanced is mentioned at the link provided below. To boost the success probability with your JEE study plan, Shiksha gets you important pointers from top faculty members of leading Test prep Academy, Aakash, on the preparation strategy for JEE Main and Advanced,

There are so many exams like VITEE, SRM, .

If your exam centers is close enough to travel in between gap of these two, then you could manage both the exams simultaneously. If it is not possible, there may be the reason of same timing or distance. You should go for your board examinations. It is more important for you more than anything.