i. $$(A)$$, a compound with lowest number of $$C$$ atoms, is unsaturated hydrocarbon and is optically active.
ii. $$(B)$$, a compound with lowest number of $$C$$ atoms, is unsaturated hydrocarbon, and shows diastereomerism.
iii.$$(C)$$, a compound with lowest number of $$C$$ atoms and unsaturated hydrocarbon, shows both optical and geometrical isomerism.
Following is the reaction sequence of $$A, B$$ and $$C$$:
The structure of $$(D)$$ is: