Among the following rivers, which has the largest basin area?

Concept

A river's basin (catchment / drainage) area is the total land surface from which all rainfall and runoff drains into that one river system. To compare rivers “by basin area” you simply rank their published catchment figures — the river draining the most land has the largest basin, independent of the river's length or discharge.

Applying it to these rivers

Take the standard India-WRIS catchment figures for each named river and compare them directly:

Ranking the offered named rivers from largest to smallest basin gives Pennar, then Brahmani (even crediting the larger combined Brahmani–Baitarani figure), then Sabarmati.

Cross-check

The Pennar figure of 55,213 sq km exceeds the combined Brahmani–Baitarani basin (51,822 sq km), so it certainly exceeds Brahmani's own 39,033 sq km and Sabarmati's 21,674 sq km. There is therefore a single clear maximum among the named rivers — it is not a tie — and that maximum (55,213 sq km, the Pennar) is present in the option list, so neither “More than one of the above” nor “None of the above” applies.