Exam

You can get seat in SASTRA but you cannot get CSE.
You can only get other branches like ECE, Mechanical and EEE.

National Institute of Fashion Technology, Bangalore INR 3.19 Lacs
National Institute of Fashion Technology Delhi 2 INR 4 Lacs
Delhi University Delhi INR 285,000
Amity School of Fashion Technology Noida INR 1.47 Lacs.

Pass score depends on the college you apply for. Generally, 310+ out of 340 is considered a good score in GRE. In TOEFL, 80+ out of 120 is the minimum eligibility criteria of English proficiency. In GRE. The verbal section is very hard, so you need to prepare well for that. TOEFL is easy, just a month preparation is enough to score well.

Yes, you have to clear your backlogs, before applying for any graduation courses.

Yes, you are eligible for civil service exam. After your graduation you can apply for those exams. Good luck.

I don't think, there is any school that provides 6 month course of class 12th. You have to study whole year. I suggest to go for courses that are related to your field.

Hi,
Please go through the following link:
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor
Good Luck.

You can either give an entrance exam or directly take admission by visiting college.

You can understand the admission procedure in detail through the following link. And no, there is no entrance exam for getting admission in BBA. http://www.banasthali.org/banasthali/wcms/en/home/admissions/bba.html.

Yes, after graduation you can do CAT. You can take CAT exam in your final year of graduation. You will be eligible for that. Good luck.