Correct option is B
Starting at North-West, a 90° clockwise turn lands him at North-East. From there, turning 135° anticlockwise (which is three 45° steps) brings him to the West.
Initial Direction:
The man is facing North-West.
Step 1: Turns 90° clockwise
Turning 90° clockwise from North-West brings him to North-East.
Step 2: Turns 135° anticlockwise
Turning 135° anticlockwise from North-East:
45° takes him to North
Another 45° takes him to North-West
Another 45° takes him to West
So, final direction = West