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Substantial cohesive energy (~ 4-5 eV), dynamical and mechanical stability of the monolayers substantiate the feasibility in synthesizing the single layers in experiments. The inversion symmetry broken along the z direction causes out-of-plane piezoelectricity. |d33| ~ 21.6 pm/V, calculated in CdS monolayer is found to be the highest amongst structures having atomic-layer thickness. Superlow Young's modulus ~ 41 N/m (31 N/m) in CdS (CdSe) monolayers, which is comparable to that of planar CdS (29 N/m) and TcTe2 (34 N/m), is an indicator of