Engineering Entrance Exam

Yes, there are so many private universities in Mumbai and other cities also, where you can take admission in M.E. without GATE exam

You can get admission in all leading NITs. However few of them are listed below.
1. NIT Trichy
2. NIT Warangal
3. NIT Bhopal
4. NIT Surathkhal
5. MNNIT Allahabad.

The B.E. admission in MIT Madras are based on Tamil Nadu Engineering Admission(TNEA) counselling conducted by Anna University. The other state candidates are also eligible for TNEA.
Candidates who have passed 10+2 Std. Or their equivalent from educational organisations located outside Tamil Nadu can

Please write the home state name for a better response. However, you can get the following colleges.
1. Beant College of engineering and Technology, Gurudaspur Punjab
2. Department of Technology, Shivaji University
3. Thapar Institute of Technology, Patiala
4. Shaheed Bhagat Singh State Technical Campu

Following colleges in Bangalore could be the best for you.
1. Christ University
2. PES University
3. REVA University.

Hi
see these link to get all the information:
https://www.shiksha.com/b-tech/jee-advanced-exam-cutoff
https://www.shiksha.com/b-tech/jee-advanced-exam-results.

Use the link provided for further details:
https://www.shiksha.com/college-predictor.

Hi
if you are from gen category then it will be difficult. See this link:
https://www.shiksha.com/b-tech/jee-main-exam-cutoff.

Silly error as in spelling errors may be ignored but if it is of a substantial nature then it might create problems.

Take help from these links
https://www.shiksha.com/b-tech/jee-main-exam-cutoff
https://www.shiksha.com/college-predictor.