The correct answer is option 3: Kaveri.

Amravati, Bhavani, Hemavati, and Kabini are all tributaries of the Kaveri river. A tributary is a smaller river or stream that flows into a larger river. In this case, these four rivers flow into the Kaveri river.

Option 1, Mahanadi, is incorrect because the Mahanadi river is not related to Amravati, Bhavani, Hemavati, or Kabini.

Option 2, Godavari, is incorrect as well. While the Godavari river is an important river in India, it is not connected to Amravati, Bhavani, Hemavati, or Kabini.

Option 4, Krishna, is also incorrect. The Krishna river is another major river in India, but it is not associated with Amravati, Bhavani, Hemavati, or Kabini.

Therefore, the correct answer is option 3: Kaveri, as Amravati, Bhavani, Hemavati, and Kabini are tributaries of the Kaveri river.