Question : Directions: A policeman stepped out of the police station and walked 60 m towards the west. He then took a left tum and walked 38 m to reach a fruit shop. He then took a right turn and walked 60 m. He then took a right turn and walked 38 m to reach a restaurant. What is the approximate shortest distance between the police station and the restaurant via the fruit shop?
Option 1: 71 m
Option 2: 150 m
Option 3: 112 m
Option 4: 142 m
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Correct Answer: 142 m
Solution : Firstly, we will draw the diagram as per the given instructions –
Now, we have to find the shortest distance between the police station and the restaurant via the fruit shop
The approximate shortest distance between the police station and the restaurant via the fruit shop is OB + DB. Here, OB = DB Therefore, Distance = 2(OB) Using the Pythagoras, we get – (OB)2 = (AB)2 + (OA)2 (OB)2 = (60)2 + (38)2 (OB)2 = 3600 + 1444 (OB)2 = 5044 OB = 71.02 Now, on putting the value of OB, we get – Distance = 2(OB) = 2 × 71.02 = 142.04 (approximately 142)
The approximate shortest distance between the police station and the restaurant via the fruit shop is 142m. Hence, the fourth option is correct.
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Question : Directions: Rashmi stepped out of her college and walked 15 m towards the South. She then took a left turn and walked 35 m to reach a pastry shop. She then took a right turn and walked 15 m. She then took a right turn and walked 35 m to reach her house. What is the approximate shortest distance between Rashmi's college and her house via the pastry shop?
Option 1: 38 m
Option 2: 69 m
Option 3: 76 m
Option 4: 54 m
Question : Directions: Starting from point Z, Khanna walked 80 m toward the South. He took a left turn and walked 40 m. Then, he took a right turn and walked 40 m. Then, he took a left turn and walked 20 m. Again, he took a left turn and walked 120 m. How far and in which direction is Khanna now from the starting point Z?
Option 1: 60 m, west
Option 2: 40 m, south
Option 3: 40 m, north
Option 4: 60 m, east
Question : Directions: Starting from point A, an animal walked 15 m towards the East. It took a left turn and walked 25 m. Then, it took a right turn and walked 10 m. Again it took a left turn and walked 15 m. Finally, it took a left turn and walked 25 m. How far and in which direction is the animal now from the starting point A?
Option 1: 25 m, East
Option 2: 40 m, South
Option 3: 40 m, North
Option 4: 25 m, West
Question : Directions: Stepping outside her school, Katrina walked 40 m towards the South to reach an ice cream parlour. From there, she took a left turn and walked 15 m to reach a bus stop. She then took a left turn and walked for another 30 m to reach the central park. What is the approximate shortest distance between the ice cream parlour and the central park?
Option 1: 37.5 m
Option 2: 33.5 m
Option 3: 46 m
Option 4: 50 m
Question : Directions: Starting from point X, a person walked 20 m towards the South to reach point Y. From there, he took a left turn and walked 25 m to reach point Z. He then took a left turn and walked for another 20 m to reach point P. What is the approximate shortest distance between the points X and Z and in which direction is the person's final position with respect to point X?
Option 1: 50 m, South East
Option 2: 36 m, South East
Option 3: 32 m, East
Option 4: 46 m, North West
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