Direction TestsMCQMTP June 22Question 2233 of 165
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Ravi started from the house towards West. After walking a distance of 30 m, he turned to his right and walked 20 m. He then turned to left and moving a distance of 10 m, turned to his left again and walked 40 m. He now turned to the left and walked 5 m. Finally, he turned to his left. In which direction was he walking now?

Options

ANorth
BNorth-East
CEast
DSouth-West
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Correct Answer

✅ Option a — North

All Options:

  • ANorth
  • BNorth-East
  • CEast
  • DSouth-West

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Detailed Solution & Explanation

Let's trace Ravi's path step-by-step on a Cartesian coordinate plane starting at the origin (0,0)\displaystyle (0, 0). Left turns correspond to counter-clockwise (+), and right turns correspond to clockwise (-).
1. **Initial Segment (West)**: Ravi walks 30 m\displaystyle 30\text{ m} West. Coordinates: (−30,0)\displaystyle (-30, 0). Direction: West.
2. **Second Segment (Right Turn / North)**: He turns right (90∘\displaystyle 90^\circ clockwise from West points North) and walks 20 m\displaystyle 20\text{ m}. Coordinates: (−30,20)\displaystyle (-30, 20). Direction: North.
3. **Third Segment (Left Turn / West)**: He turns left (90∘\displaystyle 90^\circ counter-clockwise from North points West) and walks 10 m\displaystyle 10\text{ m}. Coordinates: (−40,20)\displaystyle (-40, 20). Direction: West.
4. **Fourth Segment (Left Turn / South)**: He turns left again (90∘\displaystyle 90^\circ counter-clockwise from West points South) and walks 40 m\displaystyle 40\text{ m}. Coordinates: (−40,20−40)=(−40,−20)\displaystyle (-40, 20 - 40) = (-40, -20). Direction: South.
5. **Fifth Segment (Left Turn / East)**: He turns left again (90∘\displaystyle 90^\circ counter-clockwise from South points East) and walks 5 m\displaystyle 5\text{ m}. Coordinates: (−40+5,−20)=(−35,−20)\displaystyle (-40 + 5, -20) = (-35, -20). Direction: East.
6. **Final Turn (Left / North)**: Finally, he turns left. Facing East, a 90∘\displaystyle 90^\circ counter-clockwise turn points North. Direction: North.

**Note on Typographical Error**: The textbook answer key incorrectly lists Option D (South-West) as correct. As mathematically and geometrically proven above, turning left while facing East must point to North. Therefore, North (Option A) is the correct answer.
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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A man stands on a point and starts walking towards North then turns left then turns right and then left in which direction he is moving.

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A man is facing North-West. He turns 90° in the clockwise direction, then 180° in the anticlockwise direction and then another 90° in the same direction. Which direction is he facing now?

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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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