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?

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

✅ Option a — North

All Options:

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

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<span\displaystyle \text{ m}<span class="katex">West.Coordinates:\displaystyle West. Coordinates:
(-30, 0)\displaystyle . Direction: West.<br>2. **Second Segment (Right Turn / North)**: He turns right (&#36;90^\circ clockwise from West points North) and walks $20 m<span\displaystyle \text{ m}<span class="katex">.Coordinates:\displaystyle . Coordinates:(-30, 20)\displaystyle . Direction: North.<br>3. **Third Segment (Left Turn / West)**: He turns left (&#36;90^\circ counter-clockwise from North points West) and walks $10 m<span\displaystyle \text{ m}<span class="katex">.Coordinates:\displaystyle . Coordinates:(-40, 20)\displaystyle . Direction: West.<br>4. **Fourth Segment (Left Turn / South)**: He turns left again (&#36;90^\circ counter-clockwise from West points South) and walks $40 m<span\displaystyle \text{ m}<span class="katex">.Coordinates:\displaystyle . Coordinates:(-40, 20 - 40) = (-40, -20)\displaystyle . Direction: South.<br>5. **Fifth Segment (Left Turn / East)**: He turns left again (&#36;90^\circ counter-clockwise from South points East) and walks 5 m\displaystyle 5 m\displaystyle \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 $90^\circ$ 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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