Exam

Try for IISC or IISER or just through KVPY or JEE Advanced. The best colleges are under JEE so it's not waste of time if you are in position to crack it or else B.Sc physics is always an option then IIT JAM for Masters.

If it is JEE Mains then solve TMH JEE Mains for maths, HCV for physics, RC Mukherjee for chemistry, Himanshu Pandey for organic chemistry and mug up full NCERT for inorganic.
Solve IIT JEE and Mains past year’s papers honestly without frequently looking at the answers and then you may get more than y

You can do it. Try to score higher than 75% or try to be in top 20 percentile. Any of the two is acceptable.

You can consider following colleges:
1. BITSAT
2. SRM University
3. Manipal University
4. Poornima University
5. Amity University
6. LPU University

Hello Vibhor,
Yes, during their last recruitment cycle, DMRC was indeed recruiting through GATE score. But, for next cycle, you will have to keep track of the process.

Hello Sanya,
SRMJEEE is an entrance exam by a private institution that is SRM University. And, so the scores and ranks secured in that exam is applicable for admission only into SRM University and its other campuses.

Hello Prashant,
Your academics are very good indeed. I am sure with you can get admission for an undergraduate course abroad. But, I would rather advise you to approach an agency dealing with sending students abroad for knowing the nuances and overcoming these.

Yes, she can give exam for B.Des degree without maths exam, but if she wants to do Bachelors In Fashion Technology, then she can't give exam as in this degree Math is compulsory.