Step 1: Understanding the Concept:
Indian rivers are geographically divided into east-flowing (entering the Bay of Bengal) and west-flowing rivers (entering the Arabian Sea).
Arranging these rivers from North to South requires knowledge of their estuaries or entry points along the western coast of India.
Detailed Explanation:
Let us analyze the geographic coordinates of the entry points of these four west-flowing rivers into the Arabian Sea:
- (B) Mahi River: Originates in Madhya Pradesh, flows through Rajasthan and Gujarat, and enters the Gulf of Khambhat at approximately $22^\circ \text{ N}$ latitude. This is the northernmost river among the four.
- (A) Narmada River: Flows through a rift valley between the Vindhya and Satpura ranges and empties into the Gulf of Khambhat near Bharuch, Gujarat, at approximately $6^\circ \text{ N}$ latitude.
- (D) Tapi River: Flows parallel to the Narmada River to its south and empties into the Gulf of Khambhat near Surat, Gujarat, at approximately $1^\circ \text{ N}$ latitude.
- (C) Periyar River: Located in the southern state of Kerala, it is the longest river in the state and enters the Arabian Sea at Cochin at approximately $10.1^\circ \text{ N}$ latitude, making it the southernmost river in this list.
Therefore, the correct geographical sequence from northernmost to southernmost is Mahi (B) $\rightarrow$ Narmada (A) $\rightarrow$ Tapi (D) $\rightarrow$ Periyar (C).
Step 2: Final Answer:
The correct sequence is (B), (A), (D), (C), corresponding to option (3).