Logical Reasoning

Directions

Medium

Ankit walks 3 km towards the south, turns left and walks 6 km. Then he turns towards north and walks 5 km. Again he turns towards west, walks 4 km and stops for a while. Then he further walks 2 km. How far is he from his starting position?

2 km

4 km

3 km

5 km

✅ Correct Option: 1

Let the starting position be at origin $(0, 0)$ on a coordinate plane.

Ankit walks 3 km towards south:

Position: $(0, -3)$

He turns left (facing east now) and walks 6 km:

Position: $(6, -3)$

He turns towards north and walks 5 km:

Position: $(6, 2)$

He turns towards west and walks 4 km:

Position: $(2, 2)$

He further walks 2 km (continuing west):

Final Position: $(0, 2)$

Distance from starting position $(0, 0)$ to final position $(0, 2)$ :

$d = \sqrt{(0-0)^2 + (2-0)^2}$

$d = \sqrt{0 + 4}$

$d = \sqrt{4}$

$d = 2$ km

Therefore, Ankit is 2 km from his starting position.

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I am facing east. I turn 100° in the clockwise direction and then 155° in the anticlockwise direction. which direction I am facing now?

Ankit walks 3 km towards the south, turns left and walks 6 km. Then he turns towards north and walks 5 km. Again he turns towards west, walks 4 km and stops for a while. Then he further walks 2 km. How far is he from his starting position?

Solution

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