Direction TestPYQ Jan, 21Question 2208 of 165
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A man is facing west. He turns 45∘\displaystyle 45^\circ in the clockwise direction and then another 180∘\displaystyle 180^\circ in the same direction and then 270∘\displaystyle 270^\circ in the anti-clockwise direction. Which is the facing now?

Options

ASouth - West
BNorth - West
CWest
DSouth
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Correct Answer

✅ Option a — South - West

All Options:

  • ASouth - West
  • BNorth - West
  • CWest
  • DSouth

Detailed Solution & Explanation

Let's represent the directions using standard angles where East is 0∘\displaystyle 0^\circ, North is 90∘\displaystyle 90^\circ, West is 180∘\displaystyle 180^\circ, and South is 270∘\displaystyle 270^\circ. Clockwise rotation corresponds to subtracting angles, and counter-clockwise (anticlockwise) rotation corresponds to adding angles.
1. **Initial State**: Facing West, which corresponds to an angle of 180∘\displaystyle 180^\circ.
2. **First Rotation**: Turns 45∘\displaystyle 45^\circ in the clockwise direction:
Angle1=180∘−45∘=135∘(North-West)\displaystyle \text{Angle}_1 = 180^\circ - 45^\circ = 135^\circ \quad (\text{North-West})
3. **Second Rotation**: Turns 180∘\displaystyle 180^\circ in the same direction (clockwise):
Angle2=135∘−180∘=−45∘≡315∘(South-East)\displaystyle \text{Angle}_2 = 135^\circ - 180^\circ = -45^\circ \equiv 315^\circ \quad (\text{South-East})
4. **Third Rotation**: Turns 270∘\displaystyle 270^\circ in the anticlockwise direction:
Angle3=−45∘+270∘=225∘\displaystyle \text{Angle}_3 = -45^\circ + 270^\circ = 225^\circ

Since 225∘\displaystyle 225^\circ lies between West (180∘\displaystyle 180^\circ) and South (270∘\displaystyle 270^\circ), this corresponds to the South-West direction.
Hence, **Option A** is the correct answer.

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A man is facing North-West. He turns 90° in the clockwise direction, then 180° in the anticlockwise direction and then another 90° in the same direction. Which direction is he facing now?

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At a crossing, there was a direction pole, which was showing all the four correct directions. But due to the wind, it turns in such a manner that now West pointer is showing South. Harish went in the wrong direction thinking that he was travelling East. In which direction he was actually travelling?

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