Explanation:

- Sabarmati: Flows generally in a southwest direction and empties into the Arabian Sea. It is not an east-flowing river.

- Sharavati: Flows westwards from the Western Ghats and into the Arabian Sea. Known for the Jog Falls, it is not east-flowing.

- Mahi: Has a peculiar flow pattern, flowing towards the west despite originating in central India. It eventually flows into the Arabian Sea.

- Brahmani: Originates in the Chota Nagpur Plateau and flows eastwards through Odisha before reaching the Bay of Bengal. It is an east-flowing river.

Brahmani is the east-flowing river, so your answer is RIGHT.