Direction TestsMCQMTP June 24 Series IIQuestion 2241 of 165
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P started from his house towards west. After walking a distance of 25\displaystyle 25 m. He turned to the right and walked 10\displaystyle 10 m. He then again turned to the right and walked 15\displaystyle 15 m. After this he is turn right at 1350\displaystyle 1350 and to cover 30\displaystyle 30 m. In which direction should he go?

Options

AWest
BSouth
CSouth-West
DSouth-East
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Correct Answer

Option cSouth-West

All Options:

  • AWest
  • BSouth
  • CSouth-West
  • DSouth-East

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Detailed Solution & Explanation

Let's represent the directions on a Cartesian coordinate plane with the starting point at the origin H(0,0)\displaystyle H(0, 0). East is 0\displaystyle 0^\circ, North is 90\displaystyle 90^\circ, West is 180\displaystyle 180^\circ, and South is 270\displaystyle 270^\circ. Left turns correspond to counter-clockwise (+), and right turns correspond to clockwise (-).
1. **Initial Segment (West)**: P walks 25 m\displaystyle 25\text{ m} West. Coordinates: P1=(25,0)\displaystyle P_1 = (-25, 0). Direction: West (180\displaystyle 180^\circ).
2. **Second Segment (Right Turn / North)**: He turns right (90\displaystyle 90^\circ clockwise turn from West points North) and walks 10 m\displaystyle 10\text{ m}. Coordinates: P2=(25,10)\displaystyle P_2 = (-25, 10). Direction: North (90\displaystyle 90^\circ).
3. **Third Segment (Right Turn / East)**: He turns right again (90\displaystyle 90^\circ clockwise turn from North points East) and walks 15 m\displaystyle 15\text{ m}. Coordinates: P3=(25+15,10)=(10,10)\displaystyle P_3 = (-25 + 15, 10) = (-10, 10). Direction: East (0\displaystyle 0^\circ).
4. **Final Turn (135° Right)**: Note that '1350\displaystyle 1350' in the question text is a typographical transcription error for 135\displaystyle 135^\circ. From facing East (0\displaystyle 0^\circ), he turns right (clockwise) by 135\displaystyle 135^\circ. The new direction is:
Angle=0135=135225\displaystyle \text{Angle} = 0^\circ - 135^\circ = -135^\circ \equiv 225^\circ
Since 225\displaystyle 225^\circ lies in the third quadrant (between West at 180\displaystyle 180^\circ and South at 270\displaystyle 270^\circ), he is moving in the South-West direction.

Thus, he should go in the South-West direction.
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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