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A man faces towards North. He turns 90 degrees in the clockwise direction, then 180 degrees in the anticlockwise direction, and finally 45 degrees in the clockwise direction. Which direction is he facing now?
North-West
South-West
North-East
South-East
North-West
Assign + for clockwise and - for anticlockwise. Net angle = (+90 - 180 + 45) = -45 degrees. Starting North, -45 degrees is North-West.
Assign + for clockwise and - for anticlockwise. Net angle = (+90 - 180 + 45) = -45 degrees. Starting North, -45 degrees is North-West.
Initial Position
The man starts facing North (0 degrees).
Applying Sequential Turns
Convert moves to angles: +90 (CW), -180 (ACW), +45 (CW). Total calculation: 0 + 90 - 180 + 45 = -45 degrees.
Final Direction Determination
A result of -45 degrees represents 45 degrees in the anticlockwise direction from North, which lands exactly on North-West.
B is wrong because South-West is -135 degrees; C is wrong because North-East is +45 degrees; D is wrong because South-East is +135 degrees.
A is correct because the net movement of -45 degrees from North leads directly to the North-West quadrant.
Always treat clockwise as positive and anticlockwise as negative to solve multi-turn direction problems instantly without drawing.