Step 1: Understanding the Concept:
Tapioca (Cassava, *Manihot esculenta*) is an important root tuber crop.
Developing triploid ($3n = 54$) varieties is an important breeding strategy, as triploids typically display higher vigor, larger starch storing tuberous roots, and significantly higher yields compared to diploid varieties.
Step 2: Detailed Explanation:
Let us evaluate the ploidy levels of the tapioca varieties developed by the ICAR-Central Tuber Crops Research Institute (CTCRI):
1. Sree Harsha (D): Released as the world's first triploid cassava hybrid ($3n = 54$), showing high starch content and high tuber yield.
2. Sree Athulya (B) and Sree Apoorva (C): These are highly productive triploid varieties developed through polyploidy breeding to maximize starch accumulation and yield.
3. Sree Sahya (A): This is a prominent diploid ($2n = 36$) hybrid variety developed through inter-varietal hybridization. While high-yielding and disease-resistant, it does not have a triploid genetic structure.
Therefore, Sree Sahya is not a triploid variety of Tapioca.
Step 3: Final Answer:
The variety that is not triploid is Sree Sahya, corresponding to option (A).