Logical Reasoning

Directions

Medium

Alok walks from point P to point Q, which is 6 km away, then turns right and walks for 12 km to point R, again turns right and goes 11 km to point S. What is the distance between points P and S?

8 km

11 km

10 km

13 km

✅ Correct Option: 4

Setting up a coordinate system with P at the origin and the initial direction along the positive x-axis.

P is at $(0, 0)$

Alok walks 6 km to point Q:

Q is at $(6, 0)$

At Q, Alok turns right and walks 12 km to point R.

Turning right from the positive x-direction means moving in the negative y-direction.

R is at $(6, -12)$

At R, Alok turns right again and walks 11 km to point S.

Turning right from the negative y-direction means moving in the negative x-direction.

S is at $(6 - 11, -12) = (-5, -12)$

The distance between P $(0, 0)$ and S $(-5, -12)$ is:

$d = \sqrt{(-5 - 0)^2 + (-12 - 0)^2}$

$d = \sqrt{25 + 144}$

$d = \sqrt{169}$

$d = 13$

Therefore, the distance between points P and S is 13 km.

2025: 29 May Shift 1

A boy travels 5 km towards the South and then turns left and travels 5 km. After that, he turns to his right and walks 7 km. How far is he from the starting point finally?

2026: 18 May Shift 2

A man is facing west. He turns 35° in the clockwise direction and then another 190° in the same direction and then 270° in the anticlockwise direction. Which direction is he facing now?

2025: 26 May Shift 1

A man is facing towards the west. He then turns 45° clockwise, again turns 180° clockwise and then turns 270° anti-clockwise. In which direction is he facing now?

2026: 21 May Shift 2

A woman is facing west. She turns 225° in the clockwise direction and then turns 90° in the counterclockwise direction. Which direction is she facing now?

2022: 26 Aug Shift 1

Arpit starts from her house towards west. After walking a distance of 50 m, She turned towards right and walked 20 m. She then turned left and after moving a distance of 40 m, turned to her left again and walked 40 m, she then turns to the right and walks 10 m. Finally, she turns to left. In which distance is she walking now?

2025: 29 May Shift 2

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?

Alok walks from point P to point Q, which is 6 km away, then turns right and walks for 12 km to point R, again turns right and goes 11 km to point S. What is the distance between points P and S?

Solution

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