Colleges in Kerala

XIME Bangalore requires the MAT composite score of above 600 or 75 percentile. The other parameters considered in selection are as under. Hence your chances are moderate.
1. Academic Performance (X, XII, Undergraduate, post graduate degree)=20%
2. Score in the entrance examinations(CAT, XAT, CMAT, ATMA, MAT, GMAT)=35%
3. Group Discussion=35%
4. Diversity or any other co-curricular activities=10%

Xime Kochi campus is now 7 years old. Right now the 7th batch is undergoing the 1st year programme.

https://www.shiksha.com/college/sim-saintgits-institute-of-management-kottayam-30931
Refer the link.

https://www.shiksha.com/mba/ranking/top-mba-colleges-in-india-accepting-kmat/2-2-0-0-9238
Refer the link.

There are 4 institutes under this college :
1. BITM
2. BIMHRD
3. BIIB
4. BIMM.

https://www.shiksha.com/college/sim-saintgits-institute-of-management-kottayam-30931/admission
This link might help you.

Your TANCET % of marks is very good enough for MBA admission. Hence you will get the admission here.

Yes, you are eligible. The eligibility criteria is 10+2 with minimum 60% of marks and entrance test. You will have to go through the prospectus of the course provided by the college to know more.

The path which you are looking for is really appreciated. Regarding space and research Science courses and their fee structures, you can go through below link
https://www.shiksha.com/university/iist-indian-institute-of-space-science-and-technology-Thiruvananthapuram-25141
All the very best.