GATE

Hello Ashwini, going to a coaching institute for getting selected is actually a myth. What matters most is the dedication and perseverance of the student. If you are doing study at home on your own just do not worry. You have good chances of making it. What you should do is get to know the syllabus well then download the previous years question papers and try to solve them within the stipulated time. In fact in 75% time only. You will come to know your shortcomings. Then take care of this and again try to solve the same question papers. Perseverance dedication and repeatedly going through the study material are the sure shot ways of clearing any exam. Best wishes to you.

I don't know about entire engineering branches. But for electrical engineering GATE lectures by K. N. Rao portal is one of the best. Even it's a startup it's riding on the experience of Rao sir the sphere head of the team. Sir is dealing with Machines, Networks, and Power systems and Power electronics lectures by some other faculty member is also nice so there's no worries for core subjects. Remaining Signals and systems by Sri Hari sir is awesome. Measurements and mathematics are also good. Remaining subjects also manageable. And the fee is just 20k it's a bit cheaper when you compared the lectures and quality of Online test series with others. It's worth a shot. Along with that you can also go through NPTEL videos etc.