The correct option is A (b) > (c) > (a) > (d)
On moving down a group, the basicity and nucleophilicity are inversely related, i.e., nucleophilicity increases while basicity decreases. On going from left to right across a period, the basicity and nucleophilicity are directly related. Both of the characteristics decrease as the electronegativity of the atom bearing lone pair of electrons increases. If the nucleophilic centre of two or more species is same, nucleophilicity parallels basicity, ie. more basic the species, stronger is its nucleophilicity.
Nucleophilicity also decreases with resonance. More the resonating structures, lesser is the nucleophilicity.
Hence based on the above facts, the correct order of nucleohilicity will be
(b) > (c) > (a) > (d)