Direction TestsMCQPYQ Jan. 21Question 2257 of 165
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Ms. N walks 10\displaystyle 10km towards North from there she walks 6\displaystyle 6km towards South. Then she walks 3\displaystyle 3km towards East. How far and in which direction is she with reference to her starting point?

Options

A4\displaystyle 4 km West
B6\displaystyle 6 km West
C3\displaystyle 3 km East
D5\displaystyle 5 km North/East
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Correct Answer

Option d5\displaystyle 5 km North/East

All Options:

  • A4\displaystyle 4 km West
  • B6\displaystyle 6 km West
  • C3\displaystyle 3 km East
  • D5\displaystyle 5 km North/East

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Detailed Solution & Explanation

Start at O(0,0)\displaystyle O(0, 0).
1. North 10\displaystyle 10 km (0,10)\displaystyle \rightarrow (0, 10).
2. South 6\displaystyle 6 km (0,4)\displaystyle \rightarrow (0, 4).
3. East 3\displaystyle 3 km (3,4)\displaystyle \rightarrow (3, 4).
Distance =32+42=5\displaystyle = \sqrt{3^2 + 4^2} = 5 km.
Direction from start is North-East (x>0,y>0\displaystyle x > 0, y > 0).
*Discrepancy*: The textbook key lists Option A (4\displaystyle 4 km West), but the correct displacement is 5\displaystyle 5 km North-East (Option D).
Hence, **Option D** 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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