Direction TestsPYQ Sept 25Question 4147 of 165
All Questions

Starting from point A, PQ walked 40 metres south. She turned left and walked 40 metres. She then turned left and walked 40 metres. She again turned left and walked 60 metres and reached point B. How far and in which direction is the point B from the point A?

Options

A20 metres West
B20 metres East
C30 metres West
D10 metres West
For any discrepancies in this question, email contact@cadada.in

Correct Answer

Option a20 metres West

All Options:

  • A20 metres West
  • B20 metres East
  • C30 metres West
  • D10 metres West

Detailed Solution & Explanation

Let us represent point A at the origin (0,0)\displaystyle (0, 0) on a coordinate plane. Let North be the positive y-axis, South be the negative y-axis, East be the positive x-axis, and West be the negative x-axis.
1) Starting from A (0,0)\displaystyle (0, 0), PQ walks 40 metres South: Position1=(0,40)\text{Position}_1 = (0, -40)
2) She turns left (facing East, since she was facing South) and walks 40 metres: Position2=(40,40)\text{Position}_2 = (40, -40)
3) She turns left (facing North, since she was facing East) and walks 40 metres: Position3=(40,40+40)=(40,0)\text{Position}_3 = (40, -40 + 40) = (40, 0)
4) She turns left (facing West, since she was facing North) and walks 60 metres to reach point B: Position4=B=(4060,0)=(20,0)\text{Position}_4 = B = (40 - 60, 0) = (-20, 0)
Now let us determine the distance and direction of B (20,0)\displaystyle (-20, 0) from A (0,0)\displaystyle (0, 0): - Distance = (200)2+(00)2=20 metres\displaystyle \sqrt{(-20 - 0)^2 + (0 - 0)^2} = 20\text{ metres}. - Direction: Since the x-coordinate of B is negative and the y-coordinate is 0, B is directly to the West of A. So, point B is 20 metres West of point A.
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.

More Questions from Direction Tests

Ready to Master Direction Tests?

Practice all 165 questions with instant feedback, earn XP, track your streaks, and ace your CA Foundation exam.

Start Practicing — It's Free