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?

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

✅ Option a — North-West

All Options:

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

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 $50$ meters South. Coordinates: $P_1 = (0, -50)\displaystyle .<br>2. **Second Segment (Left Turn / East)**: Facing South, a left turn points East. She goes &#36;20 meters East. Coordinates: P2=(20,−50)\displaystyle P_2 = (20, -50).
3. **Third Segment (North)**: She turns North and goes $30meters.Coordinates:\displaystyle meters. Coordinates:P_3 = (20, -50 + 30) = (20, -20).<br>4.∗∗FinalSegment(TowardsHouse)∗∗:Shestartswalkingdirectlytoherhouseat\displaystyle .<br>4. **Final Segment (Towards House)**: She starts walking directly to her house atH(0,0)$. The vector pointing from her current position $P_3(20, -20)$ to her house $H(0,0)is:<br>\displaystyle is:<br>v⃗\displaystyle \vec{v}_{home\displaystyle \text{home}} = H - P_3 = (0 - 20)i^\displaystyle \hat{i} + (0 - (-20))j^\displaystyle \hat{j} = -20i^+20\displaystyle \hat{i} + 20j^<span\displaystyle \hat{j}<span class="katex"><br>Sincethe\displaystyle <br>Since thex−componentisnegative(West)andthe\displaystyle -component is negative (West) and they$-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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