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Arithmetic Aptitude :: Volumes

  1. A solid consists of a circular cylinder with an exact fitting right circular cone placed on the top. The height of the cone is h. If the total volume of the solid is three times the volume of the cone then the height of the cylinder is?
  2. A.
    2h
    B.
    4h
    C.
    2h/3
    D.
    3h/2

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  3. If the radius of the sphere is doubled then it's volume is increased by?
  4. A.
    100 %
    B.
    200 %
    C.
    700 %
    D.
    800 %

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  5. The curved surface area of a cylindrical pillar is 264 m2 and its volume is 924 m3. Find the ratio of its diameter to its height.
  6. A.
    3 : 7
    B.
    7 : 3
    C.
    6 : 7
    D.
    7 : 6

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  7. A cistern of capacity 8000 litres measures externally 3.3 m by 2.6 m by 1.1 m and its walls are 5 cm thick. The thickness of the bottom is:
  8. A.
    90 cm
    B.
    1 dm
    C.
    1 m
    D.
    1.1 cm

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  9. What is the total surface area of a right circular cone of height 14 cm and base radius 7 cm?
  10. A.
    344.35 cm2
    B.
    344.35 cm2
    C.
    344.35 cm2
    D.
    None of these

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  11. A large cube is formed from the material obtained by melting three smaller cubes of 3, 4 and 5 cm side. What is the ratio of the total surface areas of the smaller cubes and the large cube?
  12. A.
    2 : 1
    B.
    3 : 2
    C.
    25 : 18
    D.
    27 : 20

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  13. Surface area of a sphere is 2464 cm2. If its radius is doubled, then the surface area of the new sphere will be
  14. A.
    4920 cm2
    B.
    4727 cm2
    C.
    9856 cm2
    D.
    19712 cm2

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