Some of the entrance exams for LLM are:
1. All India law entrance test AILET
2. Common law admission test CLAT
3. Law school admission test LSAT India
4. Indraprastha University common entrance test (IPU CET)
5. Delhi University LLM entrance test DU LLM
6. MH-CET law entrance exam
MH-CET law entrance exam is held in Maharashtra for admission in most of the law colleges in Maharashtra, and also in Yashwantrao Chavan law college for admission in law courses.
There are some of the entrance exams held for admission in LLM by different universities, and also the common entrance exam held in India for admission in LLM course.
Hope this helps, all the best.