Direction TestsMCQMTP Oct 21Question 2231 of 165
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A man is facing south. He turns $135^\circ\displaystyle in the anticlockwise direction and then $180^\circ in the clockwise direction. Which direction is he facing now?

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

✅ Option d — South-West

All Options:

  • ANorth-East
  • BNorth-West
  • CSouth-East
  • DSouth-West

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 South, which corresponds to an angle of &#36;270^\circ.
2. **First Rotation**: Turns $135^\circintheanticlockwisedirection:<br>\displaystyle in the anticlockwise direction:<br>\displaystyle \text{Angle}_1 = 270^\circ + 135^\circ = 405^\circ ≡\displaystyle \equiv 45^\circ \quad (North-East\displaystyle \text{North-East})\displaystyle <br>3. **Second Rotation**: Turns &#36;180^\circ in the clockwise direction:
Angle2=45∘−180∘=−135∘≡225∘\displaystyle \displaystyle \text{Angle}_2 = 45^\circ - 180^\circ = -135^\circ ≡\displaystyle \equiv 225^\circ

An angle of $225^\circ\displaystyle lies in the third quadrant (between West at &#36;180^\circ and South at $270^\circ\displaystyle ), which corresponds to the South-West direction. (Note that a &#36;180^\circ turn always points to the exact opposite direction, and the opposite of North-East is South-West).

**Note on Typographical Error**: The textbook answer key incorrectly lists Option B (North-West) as correct. As mathematically and geometrically proven above, the man is facing South-West. Therefore, South-West (Option D) is the correct answer.
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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