Hello Aspirant,
After giving GATE exam if you have a good score or rank, then you can do Mtech or ME.
After that you can do research work.
After completing Masters you are eligible for research work.
For further analysis we may go through the following link;
https://engineering.careers360.com/articles/all-about-gate

You may also use the college predictor link to predict which colleges you might get:-
https://engineering.careers360.com/articles/gate-college-predictor

Hope this helps!!
Good luck!
Thank you.

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