  We consider specific examples of $\mathcal{N}$ = 2 supersymmetric quantum
mechanical models and list out all the novel symmetries. In each case, we show
the existence of two sets of discrete symmetries that correspond to the Hodge
duality operator of differential geometry. Thus, we are able to provide a proof
of the conjecture which endorses the existence of more than one discrete
symmetry transformation as the analogue of Hodge duality operation. Finally, we
extend our analysis to a more general case and derive on-shell nilpotent
symmetries within the framework of supervariable approach.
