Question : Directions: Manjot cycles X km towards the North and then turns left and cycles Y km to reach her shop. The shortest distance between the starting point and her shop is 5 km. What can be the value of X and Y in km?
Option 1: 3 km and 4 km
Option 2: 8 km and 4 km
Option 3: 3 km and 5 km
Option 4: 4 km and 6 km
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Correct Answer: 3 km and 4 km
Solution : According to the instructions given, the diagram is as follows –
Now, we have to find the values of X and Y.
Here, A is the starting point and C is the finishing point. AB = X km; BC = Y km; AC = 5 km By applying the Pythagorean theorem – (AC)2 = (AB)2 + (BC)2 ⇒ (5)2 = (X)2 + (Y)2 ⇒ 25 = (X)2 + (Y)2 ⇒ 25 = (3)2 + (4)2 And, 25 = 9 + 16
So, the value of X and Y is 3 km and 4 km. Hence, the first option is correct.
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Question : Directions: A person starts from point X and moves 7 km towards the south. He then turns left and moves 5 km. He then takes a right turn and moves 5 km. He then turns right and moves 5 km to reach point Y. How much and in which direction does he need to move to reach point X?
Option 1: 12 km, North
Option 2: 5 km, West
Option 3: 5 km, North
Option 4: 7 km, West
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: Sabmitra walks 4 km towards the north, turns right, and walks 5 km. Then he turns towards the south and walks 2 km. Again he takes a turn towards the west walks 3 km and stops for a while. Then he walked 2 km. What is the distance of Sabmitra from the starting point?
Option 1: 16 km
Option 2: 2 km
Option 3: 4 km
Option 4: 3 km
Question : Directions: Starting from a point O. Mahesh walks a distance of 5 km south, then turns to his right and walks 3 km. From there, he again turns right and walks 5 km. He then turns to his left and walks 5 kilometres. How far is he from the starting point?
Option 1: 13 km
Option 2: 8 km
Option 3: 5 km
Option 4: 15 km
Question : Directions: Prince drives 8 km towards the east from point A. He takes a right turn and drives 3 km. Again, he takes a right turn and drives 5 km. He takes a right turn and drives 8 km. Finally, he takes a left turn and drives 3 km to reach point B. How far and towards which direction should he drive now to reach point A again?
Option 1: 3 km towards the west
Option 2: 5 km towards the south
Option 3: 2 km towards the east
Option 4: 4 km towards the north
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