Direction TestsPYQ Sept 25Question 4146 of 165
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Mr. PQR walked 50 metres towards east, took a right turn and walked 40 metres. Then he took a left turn and walked 30 metres. In which direction is he now from the starting point?

Options

ANorth-East
BEast
CSouth-East
DSouth
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Correct Answer

Option cSouth-East

All Options:

  • ANorth-East
  • BEast
  • CSouth-East
  • DSouth

Detailed Solution & Explanation

Let us represent Mr. PQR's starting point as the origin (0,0)\displaystyle (0, 0). Let North be the positive y-axis, South be the negative y-axis, East be the positive x-axis, and West be the negative x-axis.
1) Mr. PQR walks 50 metres towards East: Position1=(50,0)\text{Position}_1 = (50, 0)
2) He takes a right turn (facing South, since he was facing East) and walks 40 metres: Position2=(50,40)\text{Position}_2 = (50, -40)
3) He takes a left turn (facing East, since he was facing South) and walks 30 metres: Position3=(50+30,40)=(80,40)\text{Position}_3 = (50 + 30, -40) = (80, -40)
Comparing his final position (80,40)\displaystyle (80, -40) to the starting point (0,0)\displaystyle (0, 0): - The x-coordinate is positive (East). - The y-coordinate is negative (South). Therefore, he is in the South-East direction from his starting point.
Hence, **Option C** 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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