Exam

First, tell me in which city and state you reside. There are some good colleges in Pune, Maharashtra. Also, research about the colleges in your City/Town or State. Dhole Patil College of Engineering, Pune you can get admission there. Go the website of the college i.e. www.dpespune.com Request a call

It depends on your rank. Also, DCRUST, Murthal accept JEE or not for this year. Did you appear for Haryana Engineering Entrance Exam this Year? It also depends on the rank the in State Engineering Exam. See the last year cut-offs of DCRUST, Murthal. Fill the JoSSA admission form properly. If DCRUST,

Now, NITs considers JEE Advanced for the admissions. So, you should have a good score in JEE Advanced to get admission in NITs.

Sorry, currently TAPMI is not accepting MAT scores.Only CAT and XAT are taken.

You should search for the previous year question papers. After this, you will get to know the pattern, difficulty levels, etc.
Good luck.

Amity University's MBA is quite low in ranking in comparison to IIMs, FMS, MDI, etc. If you have to prepare for CAT, then it's a better option then to join private universities as MBA. But if you feel you can not crack CAT, then doing MBA from Amity is a good option.