Direction TestsMCQMTP June 22Question 2234 of 165
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I am facing South. I turn right and walk 20 meters. Then I turn right again and walk 10 meters. Then I turn left and walk 10 meters and then turning right walk 20 meters. Then I turn right again and walk 60 meters. Which direction am I facing now?

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

✅ Option b — North-East

All Options:

  • ANorth
  • BNorth-East
  • CEast
  • DNorth-West

Detailed Solution & Explanation

Let's trace the path on a Cartesian coordinate plane with the starting point at origin (0,0)\displaystyle (0, 0):
1. **Trace the Steps**:
- **Step 1**: Starts facing South.
- **Step 2**: Turns right (which points West) and walks $20 meters<span\displaystyle \text{ meters}<span class="katex">.Coordinates:\displaystyle . Coordinates:P_1 = (-20, 0)\displaystyle . Direction: West.<br>- **Step 3**: Turns right again (which points North) and walks &#36;10 meters\displaystyle \text{ meters}. Coordinates: P2=(−20,10)\displaystyle P_2 = (-20, 10). Direction: North.
- **Step 4**: Turns left (which points West) and walks $10 meters<span\displaystyle \text{ meters}<span class="katex">.Coordinates:\displaystyle . Coordinates:P_3 = (-30, 10)\displaystyle . Direction: West.<br>- **Step 5**: Turns right (which points North) and walks &#36;20 meters\displaystyle \text{ meters}. Coordinates: P4=(−30,30)\displaystyle P_4 = (-30, 30). Direction: North.
- **Step 6**: Turns right again (which points East) and walks $60 meters<span\displaystyle \text{ meters}<span class="katex">.Coordinates:\displaystyle . Coordinates:P_5 = (-30 + 60, 30) = (30, 30)\displaystyle . Direction: East.<br><br>2. **Analyzing the Output**:<br>- **Facing Direction**: The traveler's final movement was walking &#36;60 meters\displaystyle \text{ meters} East. Therefore, he is facing **East** (Option C).
- **Displacement Direction**: The traveler's final position is (30,30)\displaystyle (30, 30) relative to the starting point (0,0)\displaystyle (0,0). Since both the x\displaystyle x and y\displaystyle y coordinates are positive and equal, he is located in the **North-East** direction from the starting point.
- **Explanation of Discrepancy**: The question asks 'Which direction am I facing now?', which mathematically evaluates to East. However, the textbook key lists Option B (North-East) because it calculated the direction of his final position *relative to the starting point*. Under this relative position interpretation, the answer is North-East.

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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