hey laliba!!
yes there are few entrance exam for BFA in applied art and graphics.

Different colleges of arts follow different patterns for the Fine arts entrance exam and different eligibility and selection criteria. admission process is based on merit or through entrance exam depending upon the college.

A Few Colleges which Conduct B.F.A. Entrance Exam are -

1. College of Arts, Delhi University

2. Jamia Milia Islamia

3. Banaras Hindu University

4. JJ School of Arts 

5. The Maharaja Sayajirao University of Baroda 

6. BFA, Chandigarh University

thank you and all the best :)