BCA

Graphic Era Unversity is the best college for the same.

Yes, you can go for MBA in IT which will help you in having the knowledge of both computers and management field. Banks generally look forward for such candidates.

It is just an average college. There are better colleges than Garden City to pursue BCA.

I would say that each year is important as you need to maintain a good percentage throughout from technical point of view. Each and every subject enhance your technical knowledge and skills which will be very beneficial while job interview too.

BCA degree from any recognized university or institute is a valid graduation degree for higher studies and job in both government and private sector.

As such, there is no entrance exam for integrated BCA +MCA but there are various exams of different colleges and universities for this course.

Yes, it is true because a lot of students prefer pursuing MCA and engineering. Do you still think that companies will still prefer BCA graduates over MCA and engineering students? You should better go for a Master's degree course.

Yes, any recognized university's degree is valid to appear for UPSC exam.

Some universities syllabus may have maths or statistics as a subject but something difference also will be available in the extra subject for BCA and B.Com. Mostly (except for B.Com) BCA and B.Sc in maths will be totally same in syllabus and subject pattern because both the degrees belong to science stream and for B.Com, the maths will be different due to the commerce. For example, accounting and taxation, but the syllabus of the statistics in B.Com will remain the same as in B.Sc and BBA.

Dear,
Different Indian universities follow almost same syllabus in BCA. Here I am giving Ist sem subjects followed in MAKAUT(WBUT). There are five theory papers & two lab papers
Theory:
1.Digital electronics
2.Business systems &Application
3. Introduction to Programming
4. Mathematics
5. PC software
Two Labs:
1. pc software lab
2. programming lab