Nashik

Since you have not mentioned your category, I am assuming that you are from the open category of Maharashtra. You may get admission to the following engineering colleges based on your MHT CET score:
Based on the previous year's cutoff, you can get the following colleges at Nashik:
1. Maratha Vidya Prasarak Samaj's Karmaveer Adv. Baburao Thakare College of Engineering for Civil Engineering
2. SND College of Engineering & Research Center for B.E. In Information Technology
3. Sandip Institute of Technology and Research Centre for Civil Engineering
4. Sir Visvesvaraya Institute of Technology for B.E. In Chemical Engineering
5. Matoshri College of Engineering and Research Centre for B.Tech. In Mechanical Engineering
You can find the following engineering colleges in Jalgaon:
1. SSBTs College of Engineering and Technology, for B.E. In Biotechnology Engineering
2. Khandesh Bahuuddeshiya Sanstha College of Engineering and Technology for Mechanical Engineering
3. J. T. Mahajan College of Engineering for Computer Engineering
4. North Maharashtra University for B.Tech. In Chemical Engineering
5. Shri Gulabrao Deokar College of Engineering for B.E. In Computer Engineering.

A list of colleges in Maharashtra, that offers product design courses.
1- Ajeenkya DY Patil University, Pune
2- Amity University, Mumbai.
3- Vishwakarma University, Pune.
4- Indian School of Design and Innovation.
5- MIT Institute of Design, Pune.
6- Raffles Design Institute (RDI), Mumbai. A list of colleges in Maharashtra, that offers Designing courses. Maybe it is helpful for you.
1- Institute of Design Environment and Architecture, Nashik.
2- MET Bhujbal Knowledge City, Nashik.
3- Sandip University, Nashik.
4- College of Architecture and Centre For Design, Nashik.
5- NDMVP Samajs College of Architecture, Nashik. I hope this will help you.

In 2019 the cut off was follows for admission to Diploma in Automobile Engineering in Government Polytechnic, Nashik category wise
Home District Non-Technical Seats Allotted to Home District Candidates
General: 79.20 %
SC: 53.40%
ST: 66.00 %
OBC: 74.40%
Home District Technical Seats Allotted to Home District Technical Candidates
General: 74.80%
Other than Home District Non-Technical Seats Allotted to Other than Home District Candidates
General: 86.60%
OBC: 84.40%
Other than Home District Technical Seats Allotted to Other than Home District Technical Candidates
General: 89.60%
Cut off changes every year depending on total number of candidates applied, percentage of marks in qualifying examination, total number of seats available etc.