Science

If you are doing B.Tech from a private University than ICAR accreditation is mandatory for pursuing PG in Food Technology from ICAR accredited colleges. The ICAR accreditation is not necessary for government. Or Public funded colleges for pursuing B.Tech Food technology course.

You should go with B.E. /B.Tech. Instead of B.Sc. Because B.E. Students have the advantages over B.Sc. In terms of employment opportunities. B.E. CSE, ECE, IT, Biotech etc. Are the preferred engineering branches for girls.

The last year closing rank at SVNIT for Integrated M.Sc. (Mathematics) was 126745 in general category. So you can get the chances here for doing integrated M.Sc. (5 years) course. The following are the other options for you.
1. Auro University
2. P. T. Sarvajanik College of Science.