Question : If a 7-storey building has a 28 m long shadow, the number of storeys of the building whose shadow is 48 m long is:
Option 1: 14
Option 2: 24
Option 3: 16
Option 4: 12
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Correct Answer: 12
Solution :
Length of shadow of a 7-storey building = 28 m
Let the number of stories of the building with a 48 m long shadow be $x$.
During the same time of the day, the sun shall cast proportional shadows on all the objects,
Hence, $\frac{7}{28}=\frac{x}{48}$
⇒ $x=\frac{48}{4}$
⇒ $x=12$.
Hence, the correct answer is 12.
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