A man is facing west. He turns 45∘ in the clockwise direction and then another 180∘ in the same direction and then 270∘ in the anti-clockwise direction. Which direction is he facing now?
South-west
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∘ anti-clockwise, he faces in the direction OD, which is South-west.