Direction TestsMCQPYQ Nov. 20Question 2256 of 165
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A man can walk by facing long, medium and short steps. He can cover $60$ meters by $100$ long steps, $100$ meters by $200$ medium steps and $60$ meters by $200$ short steps, he walks taking $5000$ long steps, then he turns left and walk by taking $6000$ medium steps. He then turns right and walk by taking $2500$ short steps. How far (in meters) is he away from his starting point?

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

✅ Option a — $5000$m

All Options:

  • A$5000$m
  • B$7000$m
  • C$6000$m
  • D$4000$m

Detailed Solution & Explanation

Step sizes: Long =60/100=0.6\displaystyle = 60/100 = 0.6 m; Medium =100/200=0.5\displaystyle = 100/200 = 0.5 m; Short (corrected) =80/200=0.4\displaystyle = 80/200 = 0.4 m.
Trace from (0,0)\displaystyle (0, 0):
1. $5000$ long steps East $\rightarrow (3000, 0)\displaystyle .<br>2. Turn left, &#36;6000 medium steps North →(3000,3000)\displaystyle \rightarrow (3000, 3000).
3. Turn right, $2500$ short steps East $\rightarrow (4000, 3000).<br>Displacement\displaystyle .<br>Displacement= 40002+30002=5000<span\displaystyle \sqrt{4000^2 + 3000^2} = 5000<span class="katex-error" title="ParseError: KaTeX parse error: Expected 'EOF', got '&' at position 60: …ists Option C (&̲#36;6000" style="color:#cc0000">\displaystyle m.<br>*Discrepancy*: The key lists Option C (&#36;6000 m), but the correct displacement is $5000$ m (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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