Logical Reasoning

Directions

Medium

Rohit walks 30 m straight from his school towards the North. Then he turns left and walks 20 m. He turns left again and walks 10 m. Finally, he turns left and walks 20 m to reach point A. What is the shortest distance between his school and point A?

10 m

20 m

30 m

2 m

✅ Correct Option: 2

Let the school be at the origin with coordinates (0, 0).

Rohit walks 30 m North from school:

Position = (0, 30)

Rohit turns left (facing West) and walks 20 m:

Position = (-20, 30)

Rohit turns left again (facing South) and walks 10 m:

Position = (-20, 20)

Rohit turns left again (facing East) and walks 20 m to reach point A:

Position A = (0, 20)

The shortest distance between the school at (0, 0) and point A at (0, 20) is:

$d = \sqrt{(0-0)^2 + (20-0)^2}$

$d = \sqrt{0 + 400}$

$d = \sqrt{400}$

$d = 20$ m

Therefore, the shortest distance between the school and point A is 20 m.

2026: 30 May Shift 2

Ammy starts from a point A and walks 6 m towards North-East direction and reaches point B. From here, she travels 10 m in East direction and reaches point C. From C, she travels towards South-West direction and reaches point D after travelling a distance equal to AB. At last, she turns towards West direction and reaches point A.

Which geometrical figure has been formed by the path travelled by her?

2023: 15 June Shift 2

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Starting from point P, Sunil walked 30 m towards South. He turned to his left and walked 40 m. Then, he again turned to his left and walked 30 m. Turning again to his left he walks 15 m and stops there at point N. How far is Sunil from starting point P ?

Rohit walks 30 m straight from his school towards the North. Then he turns left and walks 20 m. He turns left again and walks 10 m. Finally, he turns left and walks 20 m to reach point A. What is the shortest distance between his school and point A?

Solution

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