Statement I: Unpaired electrons in each complex:
[Cu(NH3)4]2+: Cu2+ is d9 → 1 unpaired
[Ni(en)3]2+: Ni2+ is d8, octahedral → 2 unpaired
[Ni(NH3)6]2+: Ni2+ is d8 → 2 unpaired
[Mn(H2O)6]2+: Mn2+ is d5, weak field → high spin → 5 unpaired
[Mn(H2O)6]2+ has maximum. Statement I is true.
Statement II: [NiCl4]2−: Ni2+ (d8), tetrahedral → paramagnetic
[Ni(CO)4]: Ni0 (d10) → diamagnetic
[Ni(CN)4]2−: Ni2+ (d8), square planar → diamagnetic
Only pair {[Ni(CO)4],[Ni(CN)4]2−} has both diamagnetic. Count = 1, not 2. Statement II is false.