Question : Directions: Rahul travels 10 km towards the East, then he takes a left turn and travels 3 km. He then takes the right turn and travels 5 km, he again takes the right turn and travels 8 km and finally takes the right turn one more time and travels 3 km. How far is he from his starting point and in which direction?
Option 1: 12 km towards South-East
Option 2: 13 km towards North-West
Option 3: 12 km towards North-West
Option 4: 13 km towards South-East
Correct Answer: 13 km towards South-East
Solution : Firstly, we will draw the diagram as per the given instructions –
From the above diagram, it is clear that Rahul is in the South-East direction from his starting point.
For the shortest distance (AB) between the starting point and the endpoint, use Pythagoras theorem, ⇒ (AC)2 + (BC)2 = (AB)2 ⇒ (12)2 + (5)2 = (AB)2 ⇒ 144 + 25 = (AB)2 ⇒ (AB)2 = 169 ⇒ AB = 13 km
Thus, Rahul is towards the South-East direction and 13 km away from the starting point. Hence, the fourth option is correct.
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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: Rajesh drives 4 km towards the west from point A and then takes a right turn and drives 8 km. He again takes a right turn and drives 8 km. He again takes one more right turn and drives 4 km. Finally, he takes a right turn and drives 4 km to reach point B. How far and towards which direction should he drive to reach point A again?
Option 1: 3 km towards the north
Option 2: 2 km towards the east
Option 3: 4 km towards the south
Option 4: 4 km towards the west
Question : Directions: Suman drives 3 km towards north from point A. She takes a right turn and drives 4 km more. Then she takes another right turn and drives 3 km. Finally, she takes one more right turn and drives 6 km to reach point B. How far and towards which direction should she drive to reach point A again?
Option 1: 2 km towards the south
Option 2: 3 km towards the north
Option 3: 3 km towards the west
Option 4: 2 km towards the east
Question : Directions: Prince drives 6 km towards the east from point A, takes a right turn, and drives 3 km. He again takes a right turn and drives 8 km. He takes one more right turn and drives 3 km to reach point B. How far and towards which direction should he drive to reach point A again?
Option 1: 4 km towards the west
Option 2: 2 km towards the north
Option 3: 2 km towards the east
Option 4: 4 km towards the south
Question : Directions: Karan drives 6 km towards north from point A. He takes a left turn and drives 3 km. Again he takes a left turn and drives 3 km. He takes a left turn and drives 6 km. He takes a right turn and drives 3 km to reach point B. How far and towards which direction should he drive to reach point A again?
Option 1: 5 km towards the east
Option 2: 3 km towards the west
Option 3: 4 km towards the north
Option 4: 2 km towards the south
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