Direction TestsMCQMTP Dec 22 Series IIQuestion 2237 of 165
All Questions

Pankaj is facing west. He turns $45^\circ\displaystyle in the clockwise direction and then again another turns with $180^\circ in the same direction i.e. clockwise direction, after that he turns $270^\circ$ in the anticlockwise direction. Which direction is he facing now?

Select Your Answer (Keyboard: A, B, C, D)
For any discrepancies in this question, email contact@cadada.in

Correct Answer

✅ Option c — South-West

All Options:

  • ANorth
  • BWest
  • CSouth-West
  • 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 West, which corresponds to an angle of &#36;180^\circ.
2. **First Rotation**: Turns $45^\circintheclockwisedirection:<br>\displaystyle in the clockwise direction:<br>\displaystyle \text{Angle}_1 = 180^\circ - 45^\circ = 135^\circ \quad (North-West\displaystyle \text{North-West})\displaystyle <br>3. **Second Rotation**: Turns &#36;180^\circ in the same direction (clockwise):
Angle2=135∘−180∘=−45∘≡315∘(South-East)\displaystyle \displaystyle \text{Angle}_2 = 135^\circ - 180^\circ = -45^\circ ≡\displaystyle \equiv 315^\circ \quad (South-East\displaystyle \text{South-East})
4. **Third Rotation**: Turns $270^\circintheanticlockwisedirection:<br>\displaystyle in the anticlockwise direction:<br>Angle3\displaystyle \text{Angle}_3 = -45^\circ + 270^\circ = 225^\circ\displaystyle <br><br>Since &#36;225^\circ lies between West ($180^\circ\displaystyle ) and South (&#36;270^\circ), this corresponds to the South-West direction.
Hence, **Option C** 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.

Related Comparison Tables

More Questions from Direction Tests

Ready to Master Direction Tests?

Practice all 165 questions with instant feedback, earn XP, track your streaks, and ace your CA Foundation exam.

Start Practicing — It's Free