The face of rod A which faces M will develop an induced charge on its surface, equal and opposite to the charge on M. Hence it will attract A(option a).

Now on the far end of A, charge equal and opposite to the nearer end of A will be induced, and this will induce charge opposite to M as before, on the nearer end of B. Hence, B will have charge of same polarity as that on the nearer end of A, and will be attracted by M(Option b).

A and B have opposite polarities of charges on the sides facing each other, and hence they will attract each other as well(Options c and d).