There are several common law entrance exams in India that are used by institutions to select candidates for their law programs. Here are a few of the most popular ones: 

1. Common Law Admission Test (CLAT): The CLAT is a national-level exam used for admission to undergraduate and postgraduate law programs at various institutions across India. 
2. All India Law Entrance Test (AILET): The AILET is an entrance exam used by the National Law University, Delhi for admission to its undergraduate and postgraduate law programs. 
3. Law School Admission Test-India (LSAT-India): The LSAT-India is a standardized test used for admission to various law programs in India, including those offered by Jindal Global Law School, IFIM Law School, and others. 
4. Symbiosis Entrance Test (SET): The SET is a common entrance exam used by various institutions in the Symbiosis International University network, including the Symbiosis Law School. 
5. Maharashtra Common Entrance Test (MH CET): The MH CET is an entrance exam used for admission to law programs in Maharashtra, including those offered by the University of Mumbai and various other institutions.