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 $25$ m. He turned to the right and walked $10$ m. He then again turned to the right and walked $15$ m. After this he is turn right at $1350$ and to cover $30$ m. In which direction should he go?

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

✅ Option c — South-West

All Options:

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

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^\circ\displaystyle , West is &#36;180^\circ, and South is $270^\circ m\displaystyle \text{ m}" style="color:#cc0000">\displaystyle . Left turns correspond to counter-clockwise (+), and right turns correspond to clockwise (-).<br>1. **Initial Segment (West)**: P walks &#36;25 m\displaystyle \text{ m} West. Coordinates: P1=(−25,0)\displaystyle P_1 = (-25, 0). Direction: West ($180^\circ\displaystyle ).<br>2. **Second Segment (Right Turn / North)**: He turns right (&#36;90^\circ clockwise turn from West points North) and walks $10 m<span\displaystyle \text{ m}<span class="katex">.Coordinates:\displaystyle . Coordinates:P_2 = (-25, 10)\displaystyle . Direction: North (&#36;90^\circ).
3. **Third Segment (Right Turn / East)**: He turns right again ($90^\circ m\displaystyle \text{ m}" style="color:#cc0000">\displaystyle clockwise turn from North points East) and walks &#36;15 m\displaystyle \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 ' in the question text is a typographical transcription error for &#36;135^\circ. From facing East (0∘\displaystyle 0^\circ), he turns right (clockwise) by $135^\circ.Thenewdirectionis:<br>\displaystyle . The new direction is:<br>\displaystyle \text{Angle} = 0^\circ - 135^\circ = -135^\circ ≡\displaystyle \equiv 225^\circ\displaystyle <br>Since &#36;225^\circ lies in the third quadrant (between West at $180^\circ\displaystyle and South at &#36;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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