I think all four answer are WRONG. In the diagram shown, the rod xy is behaved like a generator (or a dc battery). It provides electric current to 'two' loops XQRY and XPSY. However In A, current PX + current YX = current XQ, it violates the assumption of rod xy as a battery. In B, there is contradiction in the current flow in loop XPSY which direction of current flow is to cw while current in other segment is ccw! In C, violation of electricity generation at which induced current is tried to resist the motion of rod xy and same argument as in situation A with current SY+current XY=current YR. In D, violation of electricity generation at which induced current is tried to resist the motion of rod xy. So there is problems in all four solutions. Hence there is no solution in this question.