M.Sc

In my opinion, only advantage is that one can resolve their pre and post graduation in 5 years duration as it will take 6 years to complete both but according to placement wise I'll prefer doing B.Tech and then M.Tech or MBA full 6 year course.
Hope this helps.
Additional Information: Predict engineering colleges you can get on the basis of your JEE Rank: https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor?utm_source=cconnect&utm_medium=CR_JEECP&utm_campaign=8321427.

Kindly follow the below link to follow the fees for M.Sc physics in South Gujarat University, Surat
https://www.google.co.in/amp/s/www.shiksha.com/science/course/amp/m-sc-physics-veer-narmad-south-gujarat-university-surat-171746

Apply online in colleges you are referring to with your marks list.

They are entirely different. MS Ramaiah Institute of Arts, Science and Commerce is the one you have to apply.

Dear Student,
So far inputs I have for doing M.Sc. offered by S.C.S.&T of IIEST required qualification is - B.Sc. Hons or equivalent with 55% (40% for SC/ST) in different domains like microbiology, botany, chemistry, biochemistry, physiology etc. which includes Food and nutrition also. There is one condition - the candidate must have to study chemistry as one of the subject in Degree level. Standard admission procedure of the Institute is followed. You may visit their site for detailed information.
Best wishes.

Dear,
As far as information I have, a B. N. Y. S (naturopathy) Bachelor of naturopathy and Yoga Science is an eligible Degree for pursuing M.Sc. In Nutrition and Dietetics. You may have to appear the entrance exam as per the admission procedure of the Institute where you intend to pursue your M.Sc in the said discipline.
Best wishes.