Engineering Entrance Exam

No, you will have to be a graduate first. Means you can appear in GATE after B.Tech and you can do B.Tech after 12th. GATE is Graduate Aptitude Test in Engineering. It is used to get admission in M.Tech, MS and PSU jobs. It is conducted by IIT and IISc every year. The exam is held in February every

I know about VJTI.
They have changed their admission procedure.
They only accept these students through MHT CET exam.

You rank is not too good but may be you can get the admission in this college.

CBSE is better because JEE is also by CBSE.

For JEE Mains rank of 61000 if you are a government category candidate then you might get admission in north-east state colleges. Other institutes you have mentioned are private.

It's very low marks. Sorry to say but you won't get any good college.

No because no college in Pune gives admission through JEE Mains score. You should appear for MHCET to get admission in Pune or you can pay and get management quota seat.

General category is of cursed category in our country. So, sorry as it is not possible.

Yes, you should join BIT, Mesra or Thapar University, Patiala. Otherwise join top 10 NITs. I think you will get ECE in IIIT, Bangalore. IIIT, Allahabad may be an excellent choice.