Which one of the following is not a desert river?

The Barak River is not a desert river; it is a major river of northeastern India that rises in the hills of Manipur and Nagaland [1]. It flows through high-rainfall regions like Mawsynram and Cherrapunji, discharging a heavy volume of water before entering Bangladesh as the Surma and eventually joining the Meghna [1]. In contrast, the Rupen, Banas, and Machchhu are ephemeral or desert-associated rivers. The Rupen and Banas (of North Gujarat) are classified as ephemeral streams that flow through arid regions and often disappear into the desert or the Rann of Kutch. The Machchhu is a northward-flowing ephemeral river in the Saurashtra peninsula that also drains towards the desert of Kutch [2]. While there is a Banas tributary of the Chambal, the Banas of North Gujarat is specifically noted for its inland drainage characteristics in the desert region.

Sources

1. [1] Geography of India ,Majid Husain, (McGrawHill 9th ed.) > Chapter 3: The Drainage System of India > Barak River > p. 18
2. [2] https://knowindia.india.gov.in/profile/rivers.php