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If you want to give jam exam for M.Sc. Maths then just google IIT JAM Roorkee there you will saw application page from there download the brochure and check the eligibility and then apply.

You can try to get the best b school with this score. Few good b school you can try are -
- LPU
- IIHMR Jaipur ( for MBA healthcare)
- Chandigarh University
-UPES
- Bharti Vidyapeth
- Amity University
- NIRMA University
- Bennet University
- Doon Business School
- Administrative Staff College Hyderabad
- KIIT
- GL Bajaj
While choosing a b school you can consider brand value, ROI, teaching quality. You can sort b school zone wise / state wise. There are also less known b school like IISWBM which just require cutt off of 50. Best wishes.

Yes you can. Few good option could be -
- MBA ( Healthcare management)
- MBA ( Pharmaceutical management)
- MBA ( Biotechnology management)
- MBA ( Marketing)
Popular entrance exam for these courses are CAT/CMAT/GMAT/NIPER JEE. An MBA can fast track your career if done from top b-school. Best wishes.

Hello Arijit Paul,
There is no quota for female students per say in government colleges. Government desires that certain minimum percentage of females should be encouraged to take admission in engineering and hence government provides supernumerary seeds in IIT and NIT. However at what percentile this will be happening is just not predictable. Sometimes it could go as low as 5% tiles with respect to the last student that is a male student admitted. Best wishes to you.