A man is facing west. He runs  ${45}^{\circ }$ in the clockwise direction and then another ${180}^{\circ }$ in the same direction and then ${270}^{\circ }$ in the anticlockwise direction. Which direction is he facing now?

Clearly, the man initially faces in the direction OA. On moving 45° clockwise, he faces in the direction OB. On further moving 180° clockwise, he faces in the direction OC. Finally, on moving 270° anticlockwise, he faces in the direction OD, which is South-west. Hence, the answer is ( d)