Step 1: Understanding the Concept:
Pigeonpea (*Cajanus cajan*) is a primary legume crop. Developing high-yielding hybrids in grain legumes was historically difficult due to their self-pollinating nature and lack of efficient male sterility systems.
Step 2: Detailed Explanation:
Cytoplasmic Male Sterility (CMS) is a maternal trait that prevents plants from producing functional pollen, allowing breeders to produce hybrid seeds on a commercial scale.
In 2008, the International Crops Research Institute for the Semi-Arid Tropics (ICRISAT) in Hyderabad, India, achieved a major breakthrough in legume breeding.
By crossing wild relatives of pigeonpea (*Cajanus cajanifolius*) with cultivated varieties, they developed the world's first CMS-based commercial legume hybrid.
This hybrid was officially released as ICPH 2671 (commercially named Pushkal).
ICPH 2671/Pushkal displays high vigor, resistance to major diseases like fusarium wilt and sterility mosaic virus, and yields up to $40\%\text{ to }50\%$ more than traditional varieties.
The other varieties listed (*Pragati*, *Laxmi*, *Durga*) are popular varieties, but they are not CMS-based hybrids.
Step 3: Final Answer:
The world's first CMS-based pigeonpea hybrid is ICPH2671/Pushkal, corresponding to option (A).