Yes, you can do MBA after finishing B.Sc as the basic eligibility for MBA is Graduation in any discipline from a recognised University

For doing MBA from one of the well-known institute you have fight entrance Exam which is:
CAT
MAT
XAT
CMAT
IIFT
ATMA
NMAT
SNAP
TISS
IRMA
IBSAT
TAPMI
MICAT
MAH CET

Specialisation in MBA:
-Human Resource (HR) Management
-Finance Management
-Infrastructure and Real Estate Management
-Oil and Gas Management
-Tea Management
-Energy Management
-Entrepreneurship Management
-Telecom Management
-Retail Management
-Textile Management
-Sports Management
-Tourism Management
-IT Management
-Shipping Port Management
-Operations Management
-Risk Management
-Rural Management
-Brand Management
-Business Analytics
-Environment Management
-Biotechnology Management
-Business Process Management
-Logistics Management
-Production Management
-Product Management
-Strategic Management
-Supply Chain Management
-Marketing Management
-Knowledge Management
-Industrial Management
-Quality Management
-Hotel Management
-Hospital Management
-Facility Management
-Fashion Management
-Healthcare Management
-Export Management
-Event Management
-Communication Management
-Construction Management
-Customer Relationship Management
-Co-operative Management
-Dairy Management
-Design Management
-Disaster Management