Following are the best colleges for LLM :-

1. Faculty of Law, University of Delhi

2. National Law University, Delhi

3. Faculty of Law, Jamia Millia Islamia University

4. Geeta Institute of Law, Haryana

5. Faculty of Law, University of Mumbai

6. National Law University, Jodhpur

7. National Law School of India University, Bangalore

8. Amity Law School, Noida

Best colleges for MBA are as follows -

1. Indian Institute of Management, Ahemdabad, Gujarat

2. Indian Institute of Management, Bangalore, Karnataka

3. Indian School of Business, Hyderabad,

4. Indian Institute of Management, Kolkata, West Bengal

5. Lovely Professional University, Punjab

6. Christ University, Bangalore, Karnataka

7. K J Somaiya Institute of Management and Research, Mumbai

All the best dear :)