A man is facing North. He turns 45 degrees clockwise, then another 180 degrees clockwise, and finally 270 degrees anti-clockwise. Which direction is he facing now?
Correct: C
Let North be 0 degrees.
1. Starts facing North: Initial direction = 0 degrees.
2. Turns 45 degrees clockwise: 0 + 45 = 45 degrees (North-East).
3. Turns another 180 degrees clockwise: 45 + 180 = 225 degrees (South-West).
4. Turns 270 degrees anti-clockwise: 225 - 270 = -45 degrees.
A negative angle means anti-clockwise rotation. -45 degrees is equivalent to 360 - 45 = 315 degrees.
315 degrees corresponds to North-West.
Therefore, he is now facing North-West.