Question : Directions: Arjun starts from school and walks 4 km towards the west, turns right, and walks 3 km. Then he planned to return to school but only through the shortest path. What is the shortest distance between the school and the point where he stopped?
Option 1: 3 km
Option 2: 16 km
Option 3: 25 km
Option 4: 5 km
Correct Answer: 5 km
Solution : Firstly, we will draw the diagram as per the given instructions –
Now, we have to find the shortest distance from the starting point and to the endpoint travel by Arjun.
Here, A is the starting point and C is the finishing point of Arjun. By applying the Pythagoras theorem – (AC)2 = (AB)2 + (BC)2 (AC)2 = (4)2 + (3)2 (AC)2 = 16 + 9 (AC) = 25 AC = 5
So, the shortest distance between the Arjun and the school is 5 km. Hence, the fourth option is correct.
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Question : Directions: Leela starts from a point and walks 1 km east and then turns left and walks 2 km and turns right and walks 2 km again. She starts towards a point 2 km towards her right, from where again she walks 1 km left. How far is she from her starting point?
Option 2: 4 km
Option 3: 5 km
Option 4: 2 km
Question : Directions: A man starts from a point, moves 9 km south, then turns east and goes 3 km. He turns south and walks 3 km, and then moves 8 km towards the west. How far is he from the starting point?
Option 1: 15 km
Option 2: 12 km
Option 3: 11 km
Option 4: 13 km
Question : Directions: A man is standing in the park facing North. He turns to 90o towards the left and walks 40 km. He again takes a 90o turn towards the right and walks 50 km. He takes the next 90o turn towards the right and walks 60 km. Lastly, he takes a 90o turn towards the right and walks 50 km. How much distance is he from the starting point?
Option 1: 40 km
Option 2: 60 km
Option 3: 50 km
Option 4: 20 km
Question : Directions: Kartik walks 40 m straight from his home towards the North. Then, he turns left and walks 25 m. He turns left again and walks 15 m. Finally, he turns left and walks 25 m to reach Point X. What is the shortest distance between his home and Point X?
Option 1: 22 m
Option 2: 25 m
Option 3: 15 m
Option 4: 55 m
Question : Directions: A person starts from point Z and moves 7 km towards the South. He turns right and moves 5 km, turns right and moves 3 km, then turns right and moves 1 km. He takes a left turn and moves 4 km to reach point X. How much and in which direction does he need to move now to reach point Z?
Option 1: 4 km South
Option 2: 4 km East
Option 3: 4 km West
Option 4: 6 km East
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