Direction TestsMCQMTP Apr 21Question 2227 of 165
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Ramu moved a distance of 75 meters towards North. He then turned to left and walking for about 25 m, turned left again and walks 80m. Finally, he turned to the right at an angle of 45\displaystyle 45^\circ. In which direction was he moving finally?

Options

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

Option bSouth-West

All Options:

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

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Detailed Solution & Explanation

Let Ramu start at the origin (0,0)\displaystyle (0, 0) facing North.
1. **First Segment (North)**: Ramu walks 75 m\displaystyle 75\text{ m} North. Coordinates: (0,75)\displaystyle (0, 75). Direction: North.
2. **Second Segment (Left Turn / West)**: Facing North, a left turn points West. He walks 25 m\displaystyle 25\text{ m} West. Coordinates: (25,75)\displaystyle (-25, 75). Direction: West.
3. **Third Segment (Left Turn / South)**: Facing West, a left turn points South. He walks 80 m\displaystyle 80\text{ m} South. Coordinates: (25,7580)=(25,5)\displaystyle (-25, 75 - 80) = (-25, -5). Direction: South.
4. **Final Turn (45° Right)**: From facing South, he turns right (which is clockwise, pointing towards West) at an angle of 45\displaystyle 45^\circ. The resulting direction lies between South and West, which is South-West.

**Note on Typographical Error**: The textbook answer key incorrectly lists Option A (South-East) as the correct answer. This is a common typographical error in the textbook key for this specific mock test paper. As mathematically shown, turning clockwise from South points towards West, meaning a 45\displaystyle 45^\circ clockwise turn must lead to the South-West direction (Option B). Therefore, South-West (Option B) is the mathematically correct answer.
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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