Exam

It will be difficult to get admission in top 5 universities for engineering courses. But you can try for courses in arts, media, design, etc. if you are interested in them. Have you taken any standardised tests like SAT or ACT.

You don't need to have an income certificate issued after 1st of April. According to the new rules of state government income, certificates are valid up to 1-year. So if you have an older certificate. You can go with that for your counselling. Good luck!

If you are applying for MMS ILS seats then MAH-CET is required. If you are applying for PGDM ILS seats then it's not needed.

No good MBA college gives admission to a candidate who hasn't appeared for any entrance exam and cleared the further interview rounds (if selected for it). So it's impossible; you need to give at least one among those exams.

Dear Mansi, NIRMA gives preference to UGAT if you are graduate as under graduate. But if you are graduate then I suppose you can give it a try.

Hello Kartik,
As per your rank and category, your chances are there to get admission in good colleges, however, check here to get more insights of the colleges and branches.
https://www.shiksha.com/b-tech/resources/upsee-college-predictor

If you are in Mumbai, try with Don Bosco or for Agnels. Moreover, if possible try for Manipal Institute of Technology (NRI quota) where your family can fund you. Lovely Professional University and Amity are also good options.