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(D) $(I)$ False: $Co(III)$ $(d^6)$ is stabilized by strong field ligands (low spin),and $Co(II)$ $(d^7)$ is also stabilized by strong field ligands.$(

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(D) $(I)$ False: $Co(III)$ $(d^6)$ is stabilized by strong field ligands (low spin),and $Co(II)$ $(d^7)$ is also stabilized by strong field ligands.$(II)$ True: $Pd^{2+}$ and $Pt^{2+}$ are $4d^8$ and $5d^8$ systems respectively. Due to high crystal field splitting energy,they always form square planar,diamagnetic complexes.$(III)$ False: $[Ni(CO)_4]$ is tetrahedral $(sp^3)$ and diamagnetic. $[Ni(CN)_4]^{4-}$ is not a standard stable complex; $[Ni(CN)_4]^{2-}$ is square planar $(dsp^2)$ and diamagnetic.$(IV)$ True: $Ni^{2+}$ $(d^8)$ in an octahedral field has configuration $t_{2g}^6 e_g^2$. It cannot form inner orbital complexes because it requires two empty $d$-orbitals,but only one is available in the $e_g$ set.

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