The correct answer is option 1, Narmada.

The Narmada River is the only river that flows between the Vindhyan and Satpura ranges. The Vindhyan range is located in central India and the Satpura range lies to the south of the Vindhyan range. The Narmada River originates from the Amarkantak plateau, which is located in the Maikal hills of the Satpura range. It then flows between the Vindhyan and Satpura ranges, creating a natural boundary between them. The river later forms the Dhuandhar Falls and finally empties into the Arabian Sea.

Option 2, Sone, is incorrect because it flows through central India but not between the Vindhyan and Satpura ranges. Option 3, Mahe, and option 4, Netravati, are also incorrect because they are not rivers that flow between the Vindhyan and Satpura ranges.

The Narmada River is an important river in central India, and its flow between the Vindhyan and Satpura ranges has significant geographical and ecological importance.