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
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Correct Answer: 12 km, North
Solution : Firstly, we will draw the diagram as per the given instructions –
Here, X is the starting point and Y is the endpoint.
XA = 7 km; AB = 5 km; BC = 5 km; CY = 5 km
Now, find the distance between the starting point and the endpoint –
XY = XA + AY = 7 + 5 = 12 km
So, the person had to move 12 km towards the north to reach point X. Hence, the first option is correct.
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