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
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Correct Answer: 76 m
Solution : According to the instructions given, the diagram is as follows –
Now, find the shortest distance between Rashmi's college and her house via the pastry shop –
Here, A is the starting point and E is the finishing point and AE is the total distance from the starting point.
AB = CD = 15m; BC = DE = 35m By applying the Pythagorean theorem – (AC)2 = (AB)2 + (BC)2 (AC)2 = (15)2 + (35)2 = 225 + 1225 = 1450 ⇒ AC = $\sqrt1450$ = 38m = CE Now, add AC and CE to find the approximate shortest distance between Rashmi's college and her house via the pastry shop – AC + CE = 38 + 38 = 76m
So, the approximate shortest distance between Rashmi's college and her house via the pastry shop is 76m. Hence, the third option is correct.
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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
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: 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: Reshma walked towards the south. After 500 m, she reached her friend Rehana's house. After meeting her friend, Reshma walked towards the east for 500 m and then turned right and walked for another 500 m. From here, she turned right and walked for 1 km. Finally, she turned to her right and walked for 1 km to reach her college. In which direction is her college from Rehana's house?
Option 1: North
Option 2: South–East
Option 3: North–West
Option 4: South
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