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

Options

ANorth - West
BSouth - East
CNorth - East
DSouth - West
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Correct Answer

✅ Option c — North - East

All Options:

  • ANorth - West
  • BSouth - East
  • CNorth - East
  • DSouth - West

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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 rotation corresponds to adding angles.
1. **Initial State**: Facing North, which corresponds to an angle of 90∘\displaystyle 90^\circ.
2. **First Rotation**: Turns 70∘\displaystyle 70^\circ in the clockwise direction:
Angle1=90∘−70∘=20∘\displaystyle \text{Angle}_1 = 90^\circ - 70^\circ = 20^\circ
3. **Second Rotation**: Turns 300∘\displaystyle 300^\circ in the clockwise direction:
Angle2=20∘−300∘=−280∘\displaystyle \text{Angle}_2 = 20^\circ - 300^\circ = -280^\circ
4. **Normalized Angle**: Adding 360∘\displaystyle 360^\circ to find the positive coterminal angle:
−280∘+360∘=80∘\displaystyle -280^\circ + 360^\circ = 80^\circ

An angle of 80∘\displaystyle 80^\circ lies in the first quadrant (between 0∘\displaystyle 0^\circ (East) and 90∘\displaystyle 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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