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For pre interview test, in some courses they will ask for a subjective written test and in some courses. You'll have a Essay writing practice session on two topics every day. Topics will be declared in the morning all of you have to share your write-up at the end of the day in the comment section by the evening. Necessary improvements in writing skills will be recommended. Knowledge and skills grow on sharing. So covering two topics a day for a month, you'll effectively cover all the important topics and you will have enough subjective knowledge regarding that. You can practice on topics like:-
Privatisation of higher education. Corporate Social Responsibility is an organisation's strategy. Diversity at the workplace. Role of HR in mergers and acquisitions. Indian Politics: Role of Caste and Religion.

Yes, you can definitely do BBA from any college even if you are from science college. There are as such no norms by any college if you want to do BBA after science stream in 10+2.
BBA is not hard for anyone for any stream if they come in it. Many students do another course in graduation like B.Tech, BCA etc. and then they do MBA. If you want to come in the Business Administrative field then you can go without any tension. BBA is related to Business Administrative i.e. a managerial field. After doing MBA you will find the Managerial job in any company. If you have passed 10+2 then you can go for BBA and this stream is easy for you.
Believe me as a fact you might feel the course a little difficult for first few months but later science stream students score much better grades than commerce students.