Question : Directions: Rehana drives 6 km west from her home turns left and drives 3 km and then turns left again and drives 10 km to reach the office. What is the shortest distance between Rehana’s home and office?
Option 1: 5 km
Option 2: 9 km
Option 3: 10 km
Option 4: 4 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 between home (A) to office (E).
The shortest distance between E to A by using Pythagoras' theorem – EA2 = DE2 + DA2 EA2 = 42 + 32 EA2 = 16 + 9 EA = 5
Therefore, the shortest distance between home to office is 5 km. Hence, the first option is correct.
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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: Anita starts from her house and cycles 6 km towards the south and then turns left and cycles 8 km. She again turns left and cycles for X km to reach her school. Point A is to the west of her school and also 3 km to the north of her house. What is the value of X?
Option 1: 9 km
Option 2: 3 km
Option 3: 7 km
Option 4: 11 km
Question : Directions: Rohit drives 3 km north from point A. He takes a left turn and drives 4 km. Again, he takes a left turn and drives 6 km. Finally, he takes a left 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: 4 km towards south
Option 2: 3 km towards East
Option 3: 3 km towards north
Option 4: 2 km towards west
Question : Directions: Deepa starts from her house and cycles 4 km towards the north and then turns left and cycles 6 km. She again turns left and cycles for X km to reach her school. Point A is to the east of her school and also 3 km to the south of her house. What is the value of X?
Option 1: 1 km
Option 2: 7 km
Option 4: 3 km
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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