Ahmedabad

Hello Parth,
It's very nice to know that you have dreams of doing graduation after completing your diploma. There are many colleges in places you mentioned where you can realise your dream. In Gujrat, you can seek admission directly to 2nd year of engineering. Just score very good marks in your diploma. List of colleges is available on the web site.

Eligibility criteria to appear in GATE is Bachelors degree in Engineering/Technology (4 years after 10+2 or 3 years after B.Sc./Diploma in Engineering/ Technology) and those who are in the final year of such programs. During your B.Tech Manufacturing Engineering you will be covered majority of topic included in Syllabus of Production and Industrial Engineering. You are advised to compare your college syllabus of Manufacturing Engineering with GATE Production and Industrial Engineering syllabus and do self preparations in gap areas if there are any gaps.

Hi Akshit,
The cut-off varies every year according to the number of students applying for examination and number of seats available. It would be advisable that you get in touch with college authorities/official page directly for accurate cut-off.

Top MBA colleges in Ahmedabad without entrance exams are given in the below link:
https://www.google.co.in/url?sa=t&source=web&rct=j&url=http://topmba.co.in/direct-admission-in-top-mba-colleges-in-ahmedabad/&ved=0ahUKEwjXvZuW0oHWAhULvo8KHah3AyoQFgguMAA&usg=AFQjCNEAD2nB1j6oXMsGC96xI_OUETkEHQ