Direction TestsMCQPYQ 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 aSouth - West

All Options:

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

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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=18045=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=135180=45315(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.

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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