When cut off will come and we can proceed for the admission process then can I get B.A. instead of B.Sc??

If you make it in the cutoff list for the subject of your choice you can proceed with taking the admission. Later, on you can ask for an opportunity to change your course. There are high chances you will be able to change your course to the one you wish to take up.

Thanks I want to take B.A. English literature instead of B.Sc chemistry. I have achieved 93 in English. Then I think I'll be able to get??

If your best of four percentage is on par with the cutoff then definitely you can make a move to BA English, provided there is a vacancy in the college of your choice.

I got 93 in English, 58 in maths , 75 in physics, 69 in computer science and 61 in chemistry.

As I mentioned earlier apart from your marks there should also be a vacancy for BA English in the college for you to change your course.