BBA Entrance Exam

First, you should complete your B.Com at the place of BBA. With your B.Com, you can prepare for these exams like-
MAT (Management Aptitude Test)
CAT (Common Admission Test)
CMAT (Common Management Admission Test)
XAT (Xavier Aptitude Test)
GMAT (Graduate Management Aptitude Test Abroad)
SNAP (Symbiosis National Aptitude Test)
If you will be selected by these exams you can get good Govt. college with good scope.
All the best.

Hi Anas,
For getting into Alliance University you'll have to clear AUMAT which can prepared for by focusing on general aptitude, english, numericals and logical reasoning. Make sure you are up to date with the current affairs too.
For pursuing IB you'll have to take specialization in your 5th semester which will let you continue your studies in the same line.

Of course you're eligible. Renu is correct, the minimum marks required for any entrance exam is 60% and ideally you've got a fair percentage.
Here're some universities you can apply in for your BBA Admissions-
University of Technology and Management of MIT Pune
GGSIPU
Sikkim Manipal University
Madras Christian College

BBA entrance exams are really easy to crack. Just go through basic maths, reasoning, English, and G.K. And practise them everyday. Give 4-5 mock exams to revise finally for the BBA entrance exam. You can get all study materials and mock exams online at free of cost.

Eligibility
All the aspiring applicants to be graduate from a recognized university. Candidates appearing in the final year are also eligible provided they furnish the proof of having met the maximum eligibility and minimum eligibility criteria within 15 days from the date of publication of the result and latest before the start of first term exam.

Hi Jashodripto, I don't think any specefic examination is required to apply for BBA and if you specifically want to do BBA in hospitality then why don't you go for University of Technology and Management's BBA in Hospitality, Travel and Tourism and I don't think you need to give any entrance exam for the same. You can visit the website and know more about it. http://utm.ac.in/BBA-cse-hospitality-travel-and-tourism.php

Yes, it is included.

The college or university conducts its own entrance exams, and there is no other way you can get admission in these colleges/universities. So, yes you need to write the entrance exams.