Concept:
• \( CN^- \) is strong field $\longrightarrow$ pairing $\longrightarrow$ diamagnetic
• \( CO \) is strong field $\longrightarrow$ pairing $\longrightarrow$ diamagnetic
Step 1: \([Ni(CN)_4]^{2-}\)
Ni\(^{2+}\), \(d^8\), strong field $\longrightarrow$ \(dsp^2\), square planar, diamagnetic
Step 2: \([Ni(CO)_4]\)
Ni\(^{0}\), \(d^{10}\), \(sp^3\), tetrahedral, diamagnetic
Step 3: Conclusion.
Both complexes are diamagnetic.