Direction TestsMCQMTP June 22Question 2235 of 165
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Going 50 m to the south of her house Radhika turns left and goes another 20 m. Then turning to the North, she goes 30 m and then starts walking to her house. In which direction is she walking now?

Options

ANorth-West
BNorth-East
CSouth-West
DEast
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Correct Answer

Option aNorth-West

All Options:

  • ANorth-West
  • BNorth-East
  • CSouth-West
  • DEast

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Detailed Solution & Explanation

Let Radhika's house be at the origin H(0,0)\displaystyle H(0, 0) on the Cartesian coordinate plane.
1. **First Segment (South)**: She goes 50\displaystyle 50 meters South. Coordinates: P1=(0,50)\displaystyle P_1 = (0, -50).
2. **Second Segment (Left Turn / East)**: Facing South, a left turn points East. She goes 20\displaystyle 20 meters East. Coordinates: P2=(20,50)\displaystyle P_2 = (20, -50).
3. **Third Segment (North)**: She turns North and goes 30\displaystyle 30 meters. Coordinates: P3=(20,50+30)=(20,20)\displaystyle P_3 = (20, -50 + 30) = (20, -20).
4. **Final Segment (Towards House)**: She starts walking directly to her house at H(0,0)\displaystyle H(0,0). The vector pointing from her current position P3(20,20)\displaystyle P_3(20, -20) to her house H(0,0)\displaystyle H(0,0) is:
vhome=HP3=(020)i^+(0(20))j^=20i^+20j^\displaystyle \vec{v}_{\text{home}} = H - P_3 = (0 - 20)\hat{i} + (0 - (-20))\hat{j} = -20\hat{i} + 20\hat{j}
Since the x\displaystyle x-component is negative (West) and the y\displaystyle y-component is positive (North), the direction of this vector is North-West.

Thus, she is walking in the North-West direction now.
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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