Direction TestsPYQ Jan 26Question 4221 of 165
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A boy is facing East. Turning to the right, he goes 20 m, then turning to the left he goes 20 m and turning to the right, he goes 20 m, then again turning to the right, he goes to 40 m and then again he goes 40 m to the right. In which direction is he from his original position?

Options

ANorth
BWest
CSouth
DEast
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Correct Answer

✅ Option b — West

All Options:

  • ANorth
  • BWest
  • CSouth
  • DEast

Detailed Solution & Explanation

Let us trace the boy's movement on a coordinate plane starting from the origin (0,0)\displaystyle (0, 0):

1. **Start:** Position is (0,0)\displaystyle (0, 0), facing East.
2. **First move:** Turns right (faces South) and goes 20\displaystyle 20 m.
New position: (0,−20)\displaystyle (0, -20).
3. **Second move:** Turns left (faces East) and goes 20\displaystyle 20 m.
New position: (20,−20)\displaystyle (20, -20).
4. **Third move:** Turns right (faces South) and goes 20\displaystyle 20 m.
New position: (20,−40)\displaystyle (20, -40).
5. **Fourth move:** Turns right (faces West) and goes 40\displaystyle 40 m.
New position: (20−40,−40)=(−20,−40)\displaystyle (20 - 40, -40) = (-20, -40).
6. **Fifth move:** Turns right (faces North) and goes 40\displaystyle 40 m.
New position: (−20,−40+40)=(−20,0)\displaystyle (-20, -40 + 40) = (-20, 0).

Comparing the final position (−20,0)\displaystyle (-20, 0) to the starting position (0,0)\displaystyle (0, 0), the boy is located along the negative x-axis, which is directly to the **West** of his original position.

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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A man is facing North-West. He turns 90° in the clockwise direction, then 180° in the anticlockwise direction and then another 90° in the same direction. Which direction is he facing now?

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At a crossing, there was a direction pole, which was showing all the four correct directions. But due to the wind, it turns in such a manner that now West pointer is showing South. Harish went in the wrong direction thinking that he was travelling East. In which direction he was actually travelling?

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