Hey Manisha.

A few entrance examinations for admission in the integrated course of BBA LLB are-

CLAT- All NLUs

SLAT- Symbiosis 

IPU CET- IP University 

LSAT- Private law colleges

MHCET- Law colleges in Maharashtra 

BVP CET- BVP Pune

And many more.

These are different entrance examinations for admission in different colleges all over India