Question : Directions: Mayank started driving from his office to the hotel. He drove 10 km towards north. From there, he turned right and drove 8 km. Then, he turned right and drove 6 km. Again, he turned right and drove 5 km and reached his hotel. What is the shortest distance from the office to his hotel?
Option 1: 5 km
Option 2: 9 km
Option 3: 2 km
Option 4: 6 km
Correct Answer: 5 km
Solution : Firstly, we will draw the diagram as per the given instructions –
Here, A is the starting point and B is the endpoint. For the shortest distance (AB) between the starting point and the endpoint, use Pythagoras theorem, ⇒ (AC)2 + (BC)2 = (AB)2 ⇒ (4)2 + (3)2 = (AB)2 ⇒ 16 + 9 = (AB)2 ⇒ (AB)2 = 25 ⇒ AB = 5 km
So, the shortest distance from Mayank's office to the hotel is 5 km. Hence, the first option is correct.
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Question : Directions: A bus driver started from point A and drove 25 km towards the east. He turned left and drove 30 km. He then turned left and drove 15 km. He again turned left drove 30 km and reached point B. How far and in which direction is the point B from the point A?
Option 1: 40 km, West
Option 2: 10 km, West
Option 3: 40 km, East
Option 4: 10 km, East
Question : Directions: A farmer is preparing his field. He starts his tractor from the garage and drives 5 km towards the East. From there, he turns right and drives 6 km. Then, he turns right and drives 8 km. Again, he turns right and drives 10 km when his tractor breaks down. What is the shortest distance between his current location and the garage?
Option 2: 6 km
Option 3: 9 km
Option 4: 2 km
Question : Directions: A man drives his car 50 km towards the eastward direction. He turned right and went for 30 km. Then he turned west and drove for 10 km. How far is he from the starting point?
Option 1: 50 km
Option 2: 60 km
Option 3: 100 km
Option 4: 20 km
Question : Directions: Param drives 8 km north from point A. He takes a right turn and drives 8 km. Again he takes a right turn and drives 4 km. Finally, he takes a right turn and drives 8 km to reach point B. How far and towards which direction should he drive to reach point A again?
Option 1: 5 km towards north
Option 2: 4 km towards south
Option 3: 6 km towards east
Option 4: 3 km towards west
Question : Directions: Abhinav started running from his house, he first ran for 12 km towards the west, then turned towards the north and ran 16 km in that direction. How far is Abhinav from his house, and in which direction?
Option 1: 13 km south
Option 2: 13 km North
Option 3: 15 km West
Option 4: 20 km North-West
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