Colleges in Pune

First, you will have to give JoSAA counselling, then you will get in triple IT, if you score under 40000 rank in JEE Mains, you will require hard work.

I can't say on the basis of ranking but yes, if your marks are more than 160 in JEE Mains, then you have a chance for this college.

No, there are no process, you can get it through JEE Main marks, JEE Main counseling.

Hello,
I am afraid your good performance in MHECET will not be of use for seeking admission in this college of Nursing. Dr DY Patil deemed to be university conducts it's own entrance exam on national level and ranking in this exam will decide your probability of success in getting admission. I am attaching a link that will give you all the required information about different aspects of the admission procedure.
http://dpu.edu.in/bsc-nursing.aspx
Best wishes to you.

Selection Procedure:
The admissions are strictly based on merit, written test (whereas applicable), and personal interview and on first come first serve basis. Interested candidate should fill up the form in block letters, indicating the required course along with the relevant documents as indicated above. Incomplete applications will be rejected.

Yes, you can get admission in COEP with 85% in Diploma.
The minimum eligibility criteria for admission to B.Tech.(lateral entry) at COEP - College of Engineering is that a candidate must have completed Diploma in Engineering and Technology in relevant stream with a minimum of 45% marks from an All India Council for Technical Education or Central or state government approved institution or its equivalent.

You may go to the official Website of college and check last year cut off. Hope this will clear you doubt.
Thank you!