Direction TestsMCQPYQ Dec 2023 Series IIQuestion 2239 of 165
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One day, Pranav took his car and commenced his journey from his home and drove 25\displaystyle 25 km towards north and turned to his left and drove another 12.5\displaystyle 12.5 km. After waiting to meet a friend Deepak, he started to his right and continued to drive another 25\displaystyle 25 km. After covering a distance of 62.5\displaystyle 62.5 km till now, in which direction is he now?

Options

ANorth
BEast
CNorth-East
DSouth
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Correct Answer

Option aNorth

All Options:

  • ANorth
  • BEast
  • CNorth-East
  • DSouth

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Detailed Solution & Explanation

Let's trace Pranav's journey step-by-step on a Cartesian coordinate plane with his home at the origin H(0,0)\displaystyle H(0, 0).
1. **First Segment (North)**: Pranav drives 25 km\displaystyle 25\text{ km} North. Coordinates: P1=(0,25)\displaystyle P_1 = (0, 25). Direction: North.
2. **Second Segment (Left Turn / West)**: Facing North, a left turn points West. He drives 12.5 km\displaystyle 12.5\text{ km} West. Coordinates: P2=(12.5,25)\displaystyle P_2 = (-12.5, 25). Direction: West.
3. **Third Segment (Right Turn / North)**: Facing West, a right turn points North. He drives another 25 km\displaystyle 25\text{ km} North. Coordinates: P3=(12.5,25+25)=(12.5,50)\displaystyle P_3 = (-12.5, 25 + 25) = (-12.5, 50). Direction: North.

**Interpretation of the Question**:
- **Displacement Direction**: Relative to his home at (0,0)\displaystyle (0,0), his final position is (12.5,50)\displaystyle (-12.5, 50), which lies in the North-West direction. Since 'North-West' is not among the options, the question is asking for his current orientation (the direction he is facing or moving).
- **Facing Direction**: His last movement was driving 25 km\displaystyle 25\text{ km} towards the North. Therefore, he is facing North.

Thus, he is facing the North 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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