Direction TestMTP June 22Question 2233 of 165
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Ravi started from the house towards West. After walking a distance of 30 m, he turned to his right and walked 20 m. He then turned to left and moving a distance of 10 m, turned to his left again and walked 40 m. He now turned to the left and walked 5 m. Finally, he turned to his left. In which direction was he walking now?

Options

ANorth
BNorth-East
CEast
DSouth-West
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Correct Answer

✅ Option a — North

All Options:

  • ANorth
  • BNorth-East
  • CEast
  • DSouth-West

Detailed Solution & Explanation

Let's trace Ravi's path step-by-step on a Cartesian coordinate plane starting at the origin (0,0)\displaystyle (0, 0). Left turns correspond to counter-clockwise (+), and right turns correspond to clockwise (-).
1. **Initial Segment (West)**: Ravi walks 30 m\displaystyle 30\text{ m} West. Coordinates: (−30,0)\displaystyle (-30, 0). Direction: West.
2. **Second Segment (Right Turn / North)**: He turns right (90∘\displaystyle 90^\circ clockwise from West points North) and walks 20 m\displaystyle 20\text{ m}. Coordinates: (−30,20)\displaystyle (-30, 20). Direction: North.
3. **Third Segment (Left Turn / West)**: He turns left (90∘\displaystyle 90^\circ counter-clockwise from North points West) and walks 10 m\displaystyle 10\text{ m}. Coordinates: (−40,20)\displaystyle (-40, 20). Direction: West.
4. **Fourth Segment (Left Turn / South)**: He turns left again (90∘\displaystyle 90^\circ counter-clockwise from West points South) and walks 40 m\displaystyle 40\text{ m}. Coordinates: (−40,20−40)=(−40,−20)\displaystyle (-40, 20 - 40) = (-40, -20). Direction: South.
5. **Fifth Segment (Left Turn / East)**: He turns left again (90∘\displaystyle 90^\circ counter-clockwise from South points East) and walks 5 m\displaystyle 5\text{ m}. Coordinates: (−40+5,−20)=(−35,−20)\displaystyle (-40 + 5, -20) = (-35, -20). Direction: East.
6. **Final Turn (Left / North)**: Finally, he turns left. Facing East, a 90∘\displaystyle 90^\circ counter-clockwise turn points North. Direction: North.

**Note on Typographical Error**: The textbook answer key incorrectly lists Option D (South-West) as correct. As mathematically and geometrically proven above, turning left while facing East must point to North. Therefore, North (Option A) is the correct answer.
Hence, **Option A** is the correct answer.

More Questions from Direction Test

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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