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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Correct Answer: 32 m, East
Solution : Firstly, we will draw the diagram as per the given instructions –
Now, we have to find the approximate shortest distance between points X and Z and in which direction is the person's final position with respect to point X.
Here, X is the starting point Z is the endpoint, and the shortest distance between points X and Z = d Using Pythagoras theorem, we have ⇒ (d)2 = (20)2 + (25)2 ⇒ (d)2 = 400 + 625 ⇒ (d)2 = 1025 ⇒ d = 32.01 ~ 32
From the above diagram, the endpoint (P) is in the east direction from the starting point (X) and the shortest distance between points X and Z is 32m. Hence, the fourth option is correct.
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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: 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: 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
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
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