Veermata Jijabai Technological Institute - VJTI Mumbai

Dear Tushar,
Admissions to VJTI, Mumbai are strictly based on merit only through on-line centralised admission process as per the guidelines of Government of Maharashtra and are conducted by Directorate of Technical Education, Maharashtra.
If you fulfill this criteria, you can get admission in VJTI, otherwise not. But no need to get disheartened. You can try for admission in good private universities like LPU, Manipal, VIT, etc where the criteria for admission is going to be their own test or direct admission on basis of your previous qualification.
All these universities have a wonderful infrastructure and world-class facilities to offer to students apart from good placements. Some even offer good scholarships.
Good luck.

COEP is better any day, not just for a particular branch but as a college itself. It has a rich history, some exceptional alumni from both Mechanical and Instrumentation departments and frankly the brand speaks for itself. Mechanical department was very recently renovated, so you are going to GET state-of-the-art facilities there. Along with that comes the added bonus of good placements with good packages. Oh and a fun fact, our Mechanical department is 104 years old!
Instrumentation has always had state of the art labs and some amazing teaching faculty coupled with the great placement and packages. COEP is one of the oldest institutes to offer Instrumentation in Maharashtra at least. We completed 51 years this June.
So, apart from tradition and branding, you are going to enjoy many other facilities you will get at COEP including the famous Boat Club. But in the end, the choice is yours.