The Zuari River has its source in the Western Ghats of:

The correct answer is Karnataka.

The Zuari River is a river in the Indian state of Goa. It is the largest river in Goa and is a major source of water for the state. The river originates in the Western Ghats in the state of Karnataka and flows through the state of Goa before emptying into the Arabian Sea. The Zuari River is a major source of irrigation for the state of Goa and is also a popular tourist destination.

The other options are incorrect. Maharashtra is a state in western India. Kerala is a state in southern India. Tamil Nadu is a state in southern India.