Exam

Yes, the CBSE board provide you a checking on the basis of step marking.
If your first step is correct and solution is wrong, then also, you get marks of first correct step but if your starting step is wrong and rest, solution is correct, then you get no marks.

LLoyd Pune is the best institute in this category that is not under the CLAT exam and also this is one of the best private colleges of India. There are many other colleges like Symbiosis and PES, you can also opt for those colleges as well.

Yes, admissions are based on entrance exam.
Refer this link for more information.
https://www.shiksha.com/design/fashion-design/course/diploma-in-apparel-manufacture-and-design-premlila-vithaldas-polytechnic-pvp-mumbai-santacruz-west-92761

Dear Shivam,
I am happy to know that you're interested in Hospitality Management course. Hospitality Management is a course for passionated student who wants to make career in Hospitality Industry. IIHM is one top colleges in India imparting education. I am sharing you the link below which will help

Yes, you're eligible for DU JAT if you completed your 10+2. So, you're eligible stream doesn't matter.
Good luck!

BBA is a Bachelor degree. So, if you want to get admission in NMIMS. You need to qualify NPAT. For this exam, you have mathematics in 10+2. This is compulsory. Syllabus of NPAT-
1. English
2. Reasoing
3. Maths
4. GK
5. Management aptitude
Good luck!

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https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor

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Please visit this site
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor.