Direction TestsMCQPYQ Nov. 20Question 2255 of 165
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If you are facing North - east and move 10\displaystyle 10m forward, man left and move 7.5\displaystyle 7.5m, then you are

Options

ANorth of your initial position
BSouth of your initial position
CEast of your initial position
DNone of these
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Correct Answer

✅ Option a — North of your initial position

All Options:

  • ANorth of your initial position
  • BSouth of your initial position
  • CEast of your initial position
  • DNone of these

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Detailed Solution & Explanation

Start at O(0,0)\displaystyle O(0, 0) facing North-East (45∘\displaystyle 45^\circ).
1. Walk 10\displaystyle 10 m forward →A(10cos⁡45∘,10sin⁡45∘)≈(7.07,7.07)\displaystyle \rightarrow A(10\cos 45^\circ, 10\sin 45^\circ) \approx (7.07, 7.07).
2. Turn left (90∘\displaystyle 90^\circ ACW to 135∘\displaystyle 135^\circ), walk 7.5\displaystyle 7.5 m →B(7.07+7.5cos⁡135∘,7.07+7.5sin⁡135∘)≈(1.77,12.37)\displaystyle \rightarrow B(7.07 + 7.5\cos 135^\circ, 7.07 + 7.5\sin 135^\circ) \approx (1.77, 12.37).
Since the final y-coordinate is positive (12.37>0\displaystyle 12.37 > 0), you are North of your initial position.
*Discrepancy*: The textbook key lists Option B (South), but the correct option is North of your initial position (Option A).
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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