A man is facing towards the south. He then turns 45° anticlockwise direction, again turns 180° anticlockwise and then turns 225° clockwise direction. In which direction is he facing now?
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → South
Each turn starts from the direction the man is facing at that moment. Going clockwise the directions run N, NE, E, SE, S, SW, W, NW, with 45° between neighbours; anticlockwise runs the other way.
He starts facing South
45° anticlockwise from South (one step towards East): South-East
180° anticlockwise from South-East (a half turn): North-West
225° clockwise from North-West (five steps: N, NE, E, SE, S): South
Tip: Count anticlockwise turns as minus and clockwise turns as plus: \(-45-180+225=0\). A net turn of 0° leaves him facing the way he started, South.