Quantitative Apitude-Volume & Surface Area

Quantitative Apitude-Volume & Surface Area
21. A tank 4 m long, 2.5 m wide and 1.5 m wide is dug in a field 31 m long and 10 m wide. If the earth dug out is evenly sperad out is evenly spread out over the field, the rise in level of the field is :
  • 3.1 cm
  • 6.2 cm
  • 5 cm
  • 4.8 cm
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22. If each edgeoff a cube is doubled, then its volume :
  • is doubed
  • becomes 4 times
  • Becomes 6 times
  • becomes 8 times
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23. If each edge  of a cube is increased by 25 %, then the percentage increase in its surface area is :
  • 25%
  • 50%
  • 48.75%
  • 56.25%
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24. Two cubes have their volumes in the ratio 8 : 27. The ratio of their surface area is :
  • 2 : 3
  • 3 : 2
  • 4 : 9
  • 64 : 729
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25. A cube of side 6 cm is cut into a number of cubes, each of side 2 cm. The number of cubes will be :
  • 6
  • 9
  • 12
  • 27
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26. If the areas of three adjacent faces of a rectangular block are in the ratio of 2 : 3 : 4 and its volume is 9000 cu.cm; then the length of the shortest side is :
  • 10 cm
  • 15 cm
  • 20 cm
  • 30 cm
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27. The percentage increase in the surface area of a cube when each side is doubled, is :
  • 25 %
  • 50 %
  • 150 %
  • 300 %
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28. The radii of two cylinders are  in the ratio of 2 : 3 and their heights are in the ratio 5 : 3. The ratio o their volumes is :
  • 4 :9
  • 9 : 4
  • 20 : 27
  • 27 : 20
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29. The number of coins 1.5 cm in diameter and 0.2 cm thick to be melted to form a right circular cylinder of height 10 cm and diameter 4.5 cm, is :
  • 380
  • 450
  • 472
  • 540
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30. A cylindrical vessel 60 cm in diameter is partially filled with water. A sphere 30 cm is diameter is dropped into it. The increse in the level of water in the vessel is :
  • 2 cm
  • 3 cm
  • 4 cm
  • 5 cm
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