hi,

see you have two option, either you may go for m.tech course in reputed institute, or you may go for job. now gate exam is the most popular m.tech entrance test to reputed Institute In india. like iits, nits, jadavpur university, ISI kolkata etc. since you dont want to appear in gate, I am taking you want to go for job. since you are eee background , you have several options to choose to work in engineering field,

software engineering

electrical engineering domain

analyst / software analyst

embedded system engineering

so you have to decide which of the field Interest you the most and work on the particular domain. I must tell you that at the end of the engineering your academic score would not land you a decent paying job, but you must have the knowledge on the domain to secure a job.

hope you may understand.