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?

Options

A10 Kilometers North-west
B10 Kilometers West
C7 Kilometers East
D7 Kilometers West
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Correct Answer

Option a10 Kilometers North-west

All Options:

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

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Detailed Solution & Explanation

Start at O(0,0)\displaystyle O(0, 0).
1. North 14\displaystyle 14 km (0,14)\displaystyle \rightarrow (0, 14).
2. South 8\displaystyle 8 km (0,6)\displaystyle \rightarrow (0, 6).
3. West 8\displaystyle 8 km (8,6)\displaystyle \rightarrow (-8, 6).
Distance =(8)2+62=10\displaystyle = \sqrt{(-8)^2 + 6^2} = 10 km. Direction is North-West.
*Discrepancy*: The key lists Option B (10\displaystyle 10 km West), but the correct answer is 10\displaystyle 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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