Question : Directions: Suyash starts walking from his office and walks 40 m towards the south. From there, he turns right and walks 35 m, and then he turns right again and walks 70 m. Finally, he turns right one more time and walks 75 m to reach his home. What is the shortest distance between his office and his home?
Option 1: 40 m
Option 2: 50 m
Option 3: 70 m
Option 4: 85 m
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Correct Answer: 50 m
Solution : Firstly, we will draw the diagram as per the given instructions –
Now, we have to find the shortest distance between his office and his home.
Here, O is the starting point and D is the finishing point and OD is the total distance from the starting point.
AB = CE = 35m; BC = 70m; CD = 75m And, OE = AE – AO = 70 – 40 = 30m And, DE = CD – CE = 75 – 35 = 40m
By applying the Pythagorean theorem – (DO)2 = (DE)2 + (EO)2 (DO)2 = (40)2 + (30)2 = 1600 + 900 = 2500 ⇒ DO = $\sqrt2500$ = 50m
So, the shortest distance between his office and his home is 50m. Hence, the second 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: 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
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: 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
Question : Directions: Navya starts walking from her home and goes 27 m towards the west. From there, she turns right and walks a certain distance of P m. Then she turns right and walks 16 m. She then turns right again and walks 72 m. After that, she turns left and walks 11 m. If Navya's current position is 11 m north of her home, then what is the value of P?
Option 1: 56 m
Option 2: 72 m
Option 3: 83 m
Option 4: 45 m
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