Direction TestsMCQMTP May 20Question 2224 of 165
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Raju is facing East, he turns 100∘\displaystyle 100^\circ in the clockwise direction and 145∘\displaystyle 145^\circ in the anti-clock wise. Which direction is he facing now?

Options

AWest
BNorth-East
CNorth
DSouth-East
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Correct Answer

✅ Option b — North-East

All Options:

  • AWest
  • BNorth-East
  • CNorth
  • DSouth-East

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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 East, which corresponds to an angle of 0∘\displaystyle 0^\circ.
2. **First Rotation**: Turns 100∘\displaystyle 100^\circ in the clockwise direction:
Angle1=0∘−100∘=−100∘\displaystyle \text{Angle}_1 = 0^\circ - 100^\circ = -100^\circ
3. **Second Rotation**: Turns 145∘\displaystyle 145^\circ in the anticlockwise direction:
Angle2=−100∘+145∘=45∘\displaystyle \text{Angle}_2 = -100^\circ + 145^\circ = 45^\circ

An angle of 45∘\displaystyle 45^\circ lies exactly halfway between East (0∘\displaystyle 0^\circ) and North (90∘\displaystyle 90^\circ), which corresponds to the North-East direction.
Hence, **Option B** 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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