Direction TestsMCQMTP Dec 22 Series IIQuestion 2238 of 165
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A man is facing North. He turns $45^\circ\displaystyle degree in the clockwise direction and then another $180^\circ degree in the same direction and then $45^\circ$ degree in the anticlockwise direction. Find which direction he is facing now?

Select Your Answer (Keyboard: A, B, C, D)
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Correct Answer

✅ Option d — South

All Options:

  • ANorth
  • BEast
  • CWest
  • DSouth

Detailed Solution & Explanation

Let's represent the directions using standard angles where East is 0∘\displaystyle 0^\circ, North is $90^\circ\displaystyle , West is &#36;180^\circ, and South is $270^\circ\displaystyle . Clockwise rotation corresponds to subtracting angles, and counter-clockwise (anticlockwise) rotation corresponds to adding angles.<br>1. **Initial State**: Facing North, which corresponds to an angle of &#36;90^\circ.
2. **First Rotation**: Turns $45^\circintheclockwisedirection:<br>\displaystyle in the clockwise direction:<br>\displaystyle \text{Angle}_1 = 90^\circ - 45^\circ = 45^\circ \quad (North-East\displaystyle \text{North-East})\displaystyle <br>3. **Second Rotation**: Turns &#36;180^\circ in the same direction (clockwise):
Angle2=45∘−180∘=−135∘≡225∘(South-West)\displaystyle \displaystyle \text{Angle}_2 = 45^\circ - 180^\circ = -135^\circ ≡\displaystyle \equiv 225^\circ \quad (South-West\displaystyle \text{South-West})
4. **Third Rotation**: Turns $45^\circintheanticlockwisedirection:<br>\displaystyle in the anticlockwise direction:<br>Angle3\displaystyle \text{Angle}_3 = -135^\circ + 45^\circ = -90^\circ ≡\displaystyle \equiv 270^\circ\displaystyle <br><br>An angle of &#36;270^\circ corresponds exactly to the South direction.
Hence, **Option D** is the correct answer.

About This Chapter: Direction Tests

Paper

Paper 3: Quantitative Aptitude

Weightage

5 Marks

Key Topics

Direction Sense Test

This chapter covers Direction Sense Test and is part of Paper 3: Quantitative Aptitude in the CA Foundation exam.

View Official ICAI Syllabus

Exam Strategy Tip

This topic carries 5 Marks weightage. Focus on understanding core concepts rather than memorizing.

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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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