If each of two opposite sides of a square is increased by 4 cm a

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 Multiple Choice QuestionsMultiple Choice Questions

1.

The difference in radii of the circular ends of a bucket is 20 cm. If the height of the bucket is 15 cm, its slant height will be

  • 25 cm

  • 28 cm

  • 30 cm

  • 30 cm

192 Views

2.

The ratio of the volume of a cube to that of a sphere, which will exactly fit inside the cube is

  • 2 space colon space straight pi
  • straight pi space colon space 6
  • 6 space colon space straight pi
  • 6 space colon space straight pi
230 Views

3.

Each of the height and radius of the base of a right circular cone is increased by 100%. The volume of the cone will be increased by

  • 700%

  • 500%

  • 300%

     

  • 300%

     

161 Views

4.

The radius of the base of a right circular cylinder is 3.5 cm and its height is 7.5 cm. The ratio of the total surface area of the cylinder is to its curved surface area is

  • 22 : 5

  • 22 : 15

  • 22 : 7

  • 22 : 7

134 Views

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5.

If each of two opposite sides of a square is increased by 4 cm and each of other two sides is decreased by 4 cm, we obtain a rectangle of area 84 cm2. What is the perimeter (in cm) of the original square?

  • 40

  • 44

  • 48

  • 48


A.

40

Let the side of the original square be x cm.
According to the question,
(x + 4) (x - 4) = 84
rightwards double arrow space space straight x squared space minus space 16 space equals space 84
rightwards double arrow space space space straight x squared space equals space 100
rightwards double arrow space space straight x space equals space square root of 100 space equals space 10
∴  Perimeter of the original square  = 4a = 4 x 10 = 40 cm





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6.

A cube of side 1 metre is reduced 3 times in the ratio 1 : 2. The area of one face of the reduced cube to that of the original cube is in the ratio

  • 1 : 4

  • 1 : 8

  • 1 : 16

  • 1 : 16

220 Views

7.

If the surface areas of two spheres are in the ratio 9 : 16, the ratio of their volumes is

  • 16 : 9

  • 27 : 64

  • 64 : 27

  • 64 : 27

583 Views

8.

A right circular cone and a right circular cylinder have the same base and their heights are in the ratio 2 : 3. The ratio of their volumes will be

  • 1 : 9

  • 4 : 9

  • 5 : 9

  • 5 : 9

235 Views

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9.

A cone, a cylinder and a hemisphere stand on equal bases and have equal heights. The ratio of their volumes is

  • 2 : 3 : 1

  • 2 : 1 : 3

  • 1 : 3 : 2

  • 1 : 3 : 2

336 Views

10.

The curved surface area of a hemisphere is 2772 cm2 and volume is 19404 cm3, what is its radius? left parenthesis Take space straight pi space equals space 22 over 7 right parenthesis

  • 42 cm

  • 21 cm

  • 10.5 cm

  • 31.5 cm


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