Direction TestsMCQPYQ June 22Question 2211 of 165
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A sign board pointing direction towards north due to heavy wind. The points of sign board shows west instead of North. If a person moves to same direction of pointer. He moves 100 meter than turn left, and moves 100 meter than again turn left and move 100 mtr than he turn right & moves 100 meter. In which direction he is now?

Options

AWest
BEast
CNorth
DSouth
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Correct Answer

✅ Option b — East

All Options:

  • AWest
  • BEast
  • CNorth
  • DSouth

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Detailed Solution & Explanation

Let's model the configuration of the rotated sign board mathematically:
1. **Determine Signboard Rotation**: The pointer which should indicate North is now pointing West. This implies the entire board is rotated by 90∘\displaystyle 90^\circ counter-clockwise. Under this rotation, the mapping of labeled directions on the board to actual directions on the ground is:
- Labeled "North" points actual West.
- Labeled "East" points actual North.
- Labeled "South" points actual East.
- Labeled "West" points actual South.
2. **Trace the Traveler's Path**: The traveler follows the labeled "North" pointer, which actually directs him West:
- **Step 1**: Moves 100\displaystyle 100 meters in the direction of the pointer (actual West). Coordinates: (−100,0)\displaystyle (-100, 0). Direction: West.
- **Step 2**: Turns left (90∘\displaystyle 90^\circ counter-clockwise on the ground, pointing South) and moves 100\displaystyle 100 meters. Coordinates: (−100,−100)\displaystyle (-100, -100). Direction: South.
- **Step 3**: Turns left again (90∘\displaystyle 90^\circ counter-clockwise, pointing East) and moves 100\displaystyle 100 meters. Coordinates: (0,−100)\displaystyle (0, -100). Direction: East.
- **Step 4**: Turns right (90∘\displaystyle 90^\circ clockwise, pointing South) and moves 100\displaystyle 100 meters. Coordinates: (0,−200)\displaystyle (0, -200). Direction: South.
3. **Relative Position Verification**: The traveler's final position is (0,−200)\displaystyle (0, -200) relative to the starting point (0,0)\displaystyle (0,0), which is in the actual South direction. On the rotated signboard, the pointer corresponding to actual South is labeled **East** (since the actual South direction is where the board's "East" label points). Therefore, relative to the signboard, he is in the **East** direction.

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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More Questions from Direction Tests

A man stands on a point and starts walking towards North then turns left then turns right and then left in which direction he is moving.

Rahim started from point X and walked straight 5\displaystyle 5 km west, then turned left and walked straight 2\displaystyle 2 km, then again turned left and walked straight 7\displaystyle 7 km. In which direction is he from the point X?

Manu wants to go to the market. He starts from his house towards North and reaches a crossroad after 30\displaystyle 30m. He turns towards East, goes 10\displaystyle 10m till the second crossing and turns again, moves towards South straight for 30\displaystyle 30m where marketing complex exits. In which direction is the market from his house?

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?

Rajni walked 20 m towards the North. Then she turned right and walks 30 m. Then she turns right and walks 35 m. Then she turns left and walks 15 m. Finally she turns left and walks 15 m. In which direction and how many meters is she from the starting position?

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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