Question : Directions: A man walks 10 km in the east direction and then turns to the right and moves 5 km in that direction. Then, he takes a left turn and moves 2 km ahead. Find the minimum distance between his initial and final positions.
Option 1: 12 km
Option 2: 13 km
Option 3: 7 km
Option 4: 18 km
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Correct Answer: 13 km
Solution : Firstly, draw a diagram as per the given instructions –
Now, we have to find the shortest distance –
Apply Pythagoras' theorem to the given triangle, ABC –
(Hypotenuse)2 = (Perpendicular)2 + (Base)2 AC2 = BC2 + AB2 AC2 = (5)2 + (10 + 2)2 AC2 = (5)2 + (12)2 AC2 = 25 + 144 AC2 = 169 AC = √169 AC = 13 km
So, the shortest distance between the starting and the endpoints is 13 km. Hence, the second option is correct.
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Question : Directions: Seeta and Geeta started walking from point A. Seeta walks 6 km towards North and then takes a right turn and walks 3 km. She then takes a right turn and walks for 6 km. She again takes a left turn, walks 3 km, and reaches a point B. Geeta walks for 3 km towards the west, takes a left turn, and walks for 6 km. She then takes a left turn, walks 9 km, and reaches point C. How far is point B from point C?
Option 1: 3 km
Option 2: 4 km
Option 3: 9 km
Option 4: 6 km
Question : Directions: Ram and Shyam started from a fixed place. Ram moves 3 km to the north and turns right, then walks 4 km. Shyam moves towards the west and walks 5 km then turns to the right and walks 3 km. How far Ram is from Shyam?
Option 1: 13 km
Option 2: 16 km
Option 4: 10 km
Question : Directions: Ram walks 2 km to the east, then he turns to the South and walks 6 km. He again turns to the East and walks 2 km, then he turns to the North and walks 12 km. How far is he from the starting point?
Option 1: 7 km
Option 2: 7.1 km
Option 3: 7.2 km
Option 4: 7.3 km
Question : Directions: Ramesh walks 2 km to the west then turns to his right walks 3 km then again turns right walks 2 km and finally turns to his right. Which direction is he facing?
Option 1: East
Option 2: West
Option 3: North
Option 4: South
Question : Directions: A tourist drives 10 km towards the West turns to the left and takes a drive of another 4 km. He then drives towards the East another 4 km and then turns to his right and drives 5 km. Afterwards, he turns to his left and travels 6 km. In which direction is he from the starting point?
Option 1: North
Option 2: East
Option 3: West
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