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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Question : The value of (16 + 14) ÷ 2 – 12 + 16 × 4 – 28 + 13 (–16 + 13) is:
Option 1: 6
Option 2: 0
Option 3: –3
Option 4: 3
Question : The length of the diagonal of a rectangle with sides 4 m and 3 m would be:
Option 1: 12 m
Option 2: 7 m
Option 3: 5 m
Option 4: 14 m
Question : The average of the first three numbers is double the fourth number. If the average of all the four numbers is 12. Find the 4th number.
Option 1: $16$
Option 2: $\frac{48}{7}$
Option 3: $20$
Option 4: $\frac{18}{7}$
Question : The outer and inner diameters of a circular path are 728 m and 700 m respectively. The breadth of the path is:
Option 1: 7 m
Option 2: 28 m
Option 3: 14 m
Option 4: 20 m
Question : A pyramid has an equilateral triangle as its base, of which each side is 8 cm. Its slant edge is 24 cm. The whole surface area of the pyramid (in cm2) is:
Option 1: $(16 \sqrt{3}+24 \sqrt{35})$
Option 2: $(12 \sqrt{3}+24 \sqrt{35})$
Option 3: $(24\sqrt{3}+36\sqrt{35})$
Option 4: $(16\sqrt{3}+48\sqrt{35})$
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