Four students, Aarav, Bhavna, Chirag and Divya, each study at a different one of four colleges (Arts College, Science College, Commerce College, Law College), in a different one of four cities (Pune in Maharashtra, Indore in Madhya Pradesh, Bengaluru in Karnataka, and Ahmedabad in Gujarat). The following facts are known:

1. Aarav does not study in Pune or Bengaluru.

2. The student in Indore studies at the Law College.

3. Bhavna studies at the Commerce College.

4. Chirag studies in Ahmedabad.

5. Divya does not study at the Arts College.

6. The student at the Science College studies in Bengaluru.

In which state does Aarav study?