Mechanical Engineering

In most of the reputed colleges, B.Tech lateral admissions are done through the entrance test. Hence, you have to apply for respective college's lateral entrance test first. Following are a few colleges offering B.Tech lateral admissions:
1. DTU, Delhi
2. Thapar Institute of Engineering and Technology, Patiala
3. PTU, Jalandhar
4. College of Engineering Pune,
5. Anna University, Chennai.

As per MITE Bangalore's website, MITE offers 4 years B.E. programmes in various streams. First year B.E. admissions are based on KCET and COMEDK entrance test. Hence, college does not offers B.E. Lateral admissions.

Most of the top Australian universities like Monash, UNSW, etc. offer mechanical engineering for at least 6.5 overall band in IELTS with minimum 6.0 in each subtest. They also demand TOEFL scores which you can check on their websites. However, there must be many other universities that may grant admission at this score.

Following are a few good colleges for mechanical in Andhra Pradesh:
AUCE, Visakhapatnam
GMRIT, Razam
GIET, Rajahmundry, etc.

The semester wise detailed fee structure for courses of University Polytechnic, 2018 batch, can be viewed here:
https://www.bitmesra.ac.in/Show_Content_Section?cid=12&pid=351.

https://www.shiksha.com/resources/college-comparison
You can use this wonderful tool to compare both the colleges easily with every aspect.

As per the college's website, BE admission are based on KCET and COMEDK entrance exam. Hence, here is no provision of BE lateral admission.