Question : Directions: Mridul cycles 145 m towards the east, and then turns left and cycles 155 m. Again, he turns left and cycles 225 m. He finally turns left and cycles 95 m to reach his home. What is the shortest distance between his home and the starting point?
Option 1: 100 m
Option 2: 140 m
Option 3: 120 m
Option 4: 60 m
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Correct Answer: 100 m
Solution : Firstly, we will draw the diagram as per the given instructions – Now, we have to find the distance between Point A to Point C.
Here, A is the starting point and C is the finishing point. We have to find the distance between AC. By using, the Pythagorean theorem; (AB)2 + (BC)2 = (AC)2 (60)2 + (80)2 = (AC)2 3600 + 6400 = (AC)2 10000 = (AC)2 Now, squaring on both sides 100 = AC
So, the distance between his home and the starting point is 100 m. Hence, the first option is correct.
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Question : Directions: After leaving school, Hemant and Anurag walk towards the north for 1 km to reach a bus stop. From the bus stop, Hemant turns left and walks for 500 m. Then he turns towards his left and walks for 2 km to reach his home. From the bus stop, Anurag turns right and walks for 250 m. Then he turns right and walks for 1 km to reach his home. In which direction is Anurag's home from Hemant's home?
Option 1: East
Option 2: West
Option 3: South–East
Option 4: North–East
Question : Directions: A cyclist travels towards the east for 2 km and then turns left to travel 1 km. From there, he turns left and travels another 800 meters to reach a tea junction. After a short break, he turns towards the south and travels for 500 meters. From there, he turns right and travels for 1.2 km. Finally, he turns right and travels for 1 km. In which direction is he from his starting position?
Option 1: West
Option 2: North
Option 3: South
Option 4: East
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
Question : Directions: Udai walks 25 m towards the west, and then he turns left and walks 55 m. Then, he takes a right turn and walks 45 m. Then, he turns right again and walks 70 m. In which direction and what distance should he walk now to reach 15 m north of the starting point?
Option 1: West; 70 m
Option 2: North; 35 m
Option 3: East; 45 m
Option 4: East; 70 m
Question : Directions: Meenal walks 45 m towards the north, and then turns left and walks 35 m. From there, she turns right and walks 26 m, and then she again turns right and walks 35 m. She finally takes a left turn and walks 17 m to reach her home. How far is she from the starting point?
Option 1: 85 m
Option 2: 83 m
Option 3: 88 m
Option 4: 80 m
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