Direction TestsMCQMTP Apr 21Question 2227 of 165
All Questions

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 $45^\circ$. In which direction was he moving finally?

Select Your Answer (Keyboard: A, B, C, D)
For any discrepancies in this question, email contact@cadada.in

Correct Answer

✅ Option b — South-West

All Options:

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

Detailed Solution & Explanation

Let Ramu start at the origin (0,0)\displaystyle (0, 0) facing North.
1. **First Segment (North)**: Ramu walks $75 m<span\displaystyle \text{ m}<span class="katex">North.Coordinates:\displaystyle North. Coordinates:
(0, 75) m\displaystyle \text{ m}" style="color:#cc0000">\displaystyle . Direction: North.<br>2. **Second Segment (Left Turn / West)**: Facing North, a left turn points West. He walks &#36;25 m\displaystyle \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<span\displaystyle \text{ m}<span class="katex">South.Coordinates:\displaystyle South. Coordinates:(-25, 75 - 80) = (-25, -5)\displaystyle . Direction: South.<br>4. **Final Turn (45° Right)**: From facing South, he turns right (which is clockwise, pointing towards West) at an angle of &#36;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 $45^\circ$ 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.

Related Comparison Tables

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