Direction TestsMCQPYQ June 19Question 2203 of 165
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A person facing North moves $70^\circ\displaystyle in clockwise direction. He again moved $300^\circ in clockwise direction. In which direction is he facing now?

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

✅ Option c — North - East

All Options:

  • ANorth - West
  • BSouth - East
  • CNorth - 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 rotation corresponds to adding angles.<br>1. **Initial State**: Facing North, which corresponds to an angle of &#36;90^\circ.
2. **First Rotation**: Turns $70^\circintheclockwisedirection:<br>\displaystyle in the clockwise direction:<br>\displaystyle \text{Angle}_1 = 90^\circ - 70^\circ = 20^\circ\displaystyle <br>3. **Second Rotation**: Turns &#36;300^\circ in the clockwise direction:
Angle2=20∘−300∘=−280∘\displaystyle \displaystyle \text{Angle}_2 = 20^\circ - 300^\circ = -280^\circ
4. **Normalized Angle**: Adding $360^\circtofindthepositivecoterminalangle:<br>\displaystyle to find the positive coterminal angle:<br>-280^\circ + 360^\circ = 80^\circ\displaystyle <br><br>An angle of &#36;80^\circ lies in the first quadrant (between 0∘\displaystyle 0^\circ (East) and $90^\circ$ (North)), which corresponds to the North-East 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.

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