Direction TestsMCQPYQ June 19Question 2202 of 165
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Madhuri moved a distance of 75 meters toward north. She then turned to her left and walked for about 25m, turned left again and walked 80m. Finally, she turned to her right at an angle of 45∘\displaystyle 45^\circ. In which direction was she moving now?

Options

ASouth East
BSouth - West
CNorth - West
DNorth - East
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Correct Answer

✅ Option b — South - West

All Options:

  • ASouth East
  • BSouth - West
  • CNorth - West
  • DNorth - East

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Detailed Solution & Explanation

Let Madhuri start at the origin (0,0)\displaystyle (0, 0) facing North.
1. **First Movement**: She moves 75\displaystyle 75 meters North. Her coordinates become P1=(0,75)\displaystyle P_1 = (0, 75), and she is facing North.
2. **Second Movement**: She turns left (90∘\displaystyle 90^\circ counter-clockwise, facing West) and walks 25\displaystyle 25 meters. Her coordinates become P2=(−25,75)\displaystyle P_2 = (-25, 75), and she is facing West.
3. **Third Movement**: She turns left again (90∘\displaystyle 90^\circ counter-clockwise, facing South) and walks 80\displaystyle 80 meters. Her coordinates become P3=(−25,−5)\displaystyle P_3 = (-25, -5), and she is facing South.
4. **Final Turn**: From facing South (direction vector −j^\displaystyle -\hat{j}), she turns to her right (which is clockwise, towards West, i.e., −i^\displaystyle -\hat{i}) by an angle of 45∘\displaystyle 45^\circ. The resulting direction is between South and West, which is South-West.

Thus, she is moving in the South-West direction now.
Hence, **Option B** 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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