India

Yes, there is a entrance exam for BMS in Delhi University and the name is DU JAT. The application forms are already out on 5th May 2018. In a few days, exams are also conducted, so best of luck.

Yes, it becomes very tough.

Sorry to be harsh but the answer is no. For getting admission to VIT and that too in CS you will need a very good score in between 160 to 170 in CET for open category. But this is related to last years cutoff and if your luck is with you then you might get admission but the chances of this happening is 23 %. However you can check Last years cutoff list for various college in Maharashtra which is available on http://www.dtemaharashtra.gov.in/ website you can check it and try to fill the option for accordingly. This list is very helpful because most of the time cutoff remains at the similar level. Hope this helps.

Admission is through Tamil Nadu Engineering Admissions (TNEA) counselling based on the marks obtained in 10+2. For further details regarding this course, please refer to the link provided below:
https://www.shiksha.com/b-tech/course/b-tech-in-food-technology-anna-university-guindy-chennai-202939

TS EAMCET 2018 College Predictor
Use your TS EAMCET 2018 rank to see where you can GET admission at the link provided below:
See the courses, colleges & rounds you may crack
The result is based on admissions data of TS EAMCET 2017
Get resources & insights on colleges & courses
https://www.shiksha.com/b-tech/resources/ts-eamcet-college-predictor.

Check the list of all CS colleges/institutes in India listed on Shiksha at the link provided below. GET all information related to admissions, fees, courses, placements, reviews & more on CS colleges in India to help you decide which college you should be targeting for CS admissions in India. https://www.shiksha.com/accounting-commerce/colleges/cs-colleges-india.

Have you applied for any colleges?

Hello,
Hope you are doing well. I will prefer to go for MIT Aurangabad because placement and facilities are well enough than Sage Indore. You will not get any benefit by taking admission in Sage but definitely, you will get a profit in MIT Aurangabad. All the best.

JECRC is a good college. You can get it. For other colleges in Rajasthan, please visit the link below -
https://www.shiksha.com/b-tech/ranking/top-engineering-colleges-in-Rajasthan/44-2-121-0-0