Direction TestMTP 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 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\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: (−25,75−80)=(−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.

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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