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Arithmetic Aptitude :: Volumes

  1. The diameters of two spheres are in the ratio 1:2 what is the ratio of their volumes?
  2. A.
    3:4
    B.
    9:16
    C.
    1:8
    D.
    4:3

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  3. Surface area of two spheres are in the ratio 1:4 what is the ratio of their volumes?
  4. A.
    1:64
    B.
    1:8
    C.
    1:4
    D.
    8:1

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  5. The height of two right circular cones are in the ratio 1:2 and their perimeters of their bases are in the ratio 3:4, the ratio of their volume is?
  6. A.
    3:8
    B.
    9:16
    C.
    9:32
    D.
    9:64

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  7. The surface area of a cube is 726m2, its volume is?
  8. A.
    1300 m3
    B.
    1331 m3
    C.
    1452 m3
    D.
    1542 m3

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  9. If the length, breadth and the height of a cuboid are in the ratio 6: 5: 4 and if the total surface area is 33300 cm2, then length breadth and height in cms, are respectively?
  10. A.
    90, 85, 60
    B.
    85, 75, 60
    C.
    90, 75, 70
    D.
    90, 75,60

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  11. A wooden box of dimensions 8m x 7m x 6m is to carry rectangular boxes of dimensions 8cm x 7cm x 6cm. The maximum number of boxes that can be carried in 1 wooden box is?
  12. A.
    1200000
    B.
    1000000
    C.
    9800000
    D.
    7500000

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  13. A metal sheet 27 cm long 8cm broad and 1 cm thick is melted into a cube. The difference between the surface areas of two solids is
  14. A.
    284 cm2
    B.
    286 cm2
    C.
    296 cm2
    D.
    300 cm2

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  15. If the volumes of two cubes are in the ratio 8: 1, the ratio of their edges is
  16. A.
    8: 1
    B.
    2√2 : 1
    C.
    2 : 1
    D.
    None of these

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  17. The radius of a wire is decreased to one “third if volume remains the same length will increase
  18. A.
    1 Time
    B.
    3 times
    C.
    6 times
    D.
    9 times

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  19. The length of the wire of 0.2mm radius that can be drawn after melting a solid copper sphere of diameter 18cm?
  20. A.
    24.3m
    B.
    243m
    C.
    2430m
    D.
    24300 m

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