Direction TestsMCQPYQ Dec 23Question 2268 of 165
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Mr. X walks 14 kilometers towards north. From there, he walks 8 kilometer towards south. Then he walks 8 kilometers towards the West. How far and in which direction is he with reference to his starting point?

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

✅ Option a — 10 Kilometers North-west

All Options:

  • A10 Kilometers North-west
  • B10 Kilometers West
  • C7 Kilometers East
  • D7 Kilometers West

Detailed Solution & Explanation

Start at O(0,0)\displaystyle O(0, 0).
1. North $14km\displaystyle km\rightarrow (0, 14).<br>2.South\displaystyle .<br>2. South8km\displaystyle km\rightarrow (0, 6).<br>3.West\displaystyle .<br>3. West8km\displaystyle km\rightarrow (-8, 6).<br>Distance\displaystyle .<br>Distance= (−8)2+62=10<span\displaystyle \sqrt{(-8)^2 + 6^2} = 10<span class="katex-error" title="ParseError: KaTeX parse error: Expected 'EOF', got '&' at position 86: …ists Option B (&̲#36;10" style="color:#cc0000">\displaystyle km. Direction is North-West.<br>*Discrepancy*: The key lists Option B (&#36;10 km West), but the correct answer is $10$ km North-West (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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