In [NiCl4]2−, Ni is in +2 oxidation state with a 3d8 configuration. Since Cl− is a weak field ligand, no pairing of electrons takes place. The hybridisation is sp3, the geometry is tetrahedral, and the presence of two unpaired electrons makes it paramagnetic. Thus, statement A is correct.
In [Ni(NH3)6]2+, Ni is in +2 oxidation state with a 3d8 configuration. In an octahedral field, a d8 ion cannot form inner orbital complexes. It undergoes sp3d2 hybridisation, forming an octahedral geometry. It has two unpaired electrons, making it paramagnetic. Thus, statement B is correct.
In [Ni(CO)4], Ni is in 0 oxidation state with a 3d84s2 configuration. Since CO is a strong field ligand, the 4s electrons are forced to pair up in the 3d orbitals, resulting in a 3d10 configuration. The hybridisation is sp3, the geometry is tetrahedral, and since there are no unpaired electrons, it is diamagnetic. Statement C incorrectly lists it as paramagnetic.
In [Ni(CN)4]2−, Ni is in +2 oxidation state with a 3d8 configuration. Since CN− is a strong field ligand, it causes the pairing of 3d electrons, leaving one 3d orbital empty. The hybridisation is dsp2, the geometry is square planar, and the absence of unpaired electrons makes it diamagnetic. Thus, statement D is correct.
Therefore, only statements A, B, and D are correct.
Answer: A, B and D only