GATE

It is not too late to reply I think. But there are so many reputed institutions and private colleges giving admissions with out GATE but AICTE stipend won't be there. Some of iits, iiits (IIITH), BITS are also conducting separate exams and interviews for M.Tech admissions. Through PGCET you can get admissions in state universities.

33 Engineering Colleges accepting GATE for M.Tech in Mumbai (All)
IIT Bombay - Indian Institute of Technology. ICT Mumbai - Institute of Chemical Technology, Mumbai. K J Somaiya Institute of Engineering and Information Technology. VIT - Vidyalankar Institute of Technology. Terna Engineering College.

Electrical or mechanical are the best branches for GATE.

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You can find all the true and authentic information about the same here.

Yes, you will get that do not worry.

Bro, see last year's closing rank, you can get some idea.

Yes, they provide admission in Masters through both GATE score and BITS HD online exam.

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GATE AG Stands for Graduate aptitude test in engineering in Agriculture engineering and GATE XL Stands for Graduate aptitude test in engineering in Life Science.

GATE-XL stands for life Science and GATE-XE stands for engineering Science, you can take any one of these according to your background subjects if it is related to mathematics you can go for XE and if it is related to biology/agriculture you can go for XL.