Statement I : Work done by the force of friction in moving a body around a closed loop is zero.

Statement II : Work done does not depend upon the nature of force.

Work done during the motion of a body over a closed path depends upon whether the force doing work is conservative or non-conservative in nature. For conservative forces like gravitational forces work in closed path is zero and for non-conservative forces like frictional force some work is done in closed path, not zero.