A lawn is in the form of a rectangle having its breadth and leng

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 Multiple Choice QuestionsMultiple Choice Questions

41.

In an equilateral triangle of side 24 cm, a circle is inscribed touching its sides. The area of the remaining portion of the triangle is ( √3 = 1.732 )

  • 98.55 sq cm

  • 100 sq cm

  • 101 sq cm

  • 95 sq cm

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42.

Two sides of a plot measuring 32 m and 24 m and the angle between them is a perfect right angle. The other two sides measure 25 m each and the other three angles are not right angles. The area of the plot in m2 is

  • 768

  • 534

  • 696.5

  • 696.5

587 Views

43.

Perimeter of a rhombus is 2p unit and sum of length of diagonals is m unit, then area of the rhombus is

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44.

The diameter of a circular wheel is 7 m. How many revolutions will it make in travelling 22 km?

  • 100

  • 400

  • 500

  • 500

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45.

The area of an equilateral triangle is 9 square root of 3 space straight m squared. The length (in m) of the median is

  • 2 square root of 3
  • 3 square root of 3
  • 3 square root of 2
  • 3 square root of 2
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46.

The diagonals of a rhombus are 12 cm and 16 cm respectively. The length of one side is

  • 8 cm

  • 6 cm

  • 10 cm

  • 10 cm

157 Views

47.

How many tiles, each 4 decimetre square, will be required to cover the floor of a room 8 m long and 6 m broad?

  • 200

  • 260

  • 280

  • 280

277 Views

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48.

A lawn is in the form of a rectangle having its breadth and length in the ratio 3 : 4. The area of the lawn is 1 over 12 hectare. The breadth of the lawn is

  • 25 metres

  • 50 metres

  • 75 metres

  • 75 metres


A.

25 metres

Let the length be 3x metre
          breadth be 4x metre

Area of the lawn  = 1 over 12 hectare  = 1 over 12 cross times 10000 space straight m squared equals space space 2500 over 3 straight m squared
therefore space space space space 3 straight x space cross times space 4 straight x space equals space 2500 over 3
rightwards double arrow space space space straight x squared space equals space fraction numerator 2500 over denominator 3 cross times 3 cross times 4 end fraction space space rightwards double arrow space space straight x space equals space 50 over 6
rightwards double arrow space Breadth space equals space 3 straight x space equals space 3 space cross times space 50 over 6 space equals space 25 space metre

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49.

The area of a rectangle is thrice that of a square. The length of the rectangle is 20 cm and the breadth of the rectangle is 3 over 2 times that of the side of the square. The side of the square, in cm, is

  • 10

  • 20

  • 30

  • 30

168 Views

50.

A square is of area 200 sq. m. A new square is formed in such a way that the length of its diagonal is square root of 2 times of the diagonal of the given square. Then the area of the new square formed is

  • 200 square root of 2 space sq. space straight m
  • 400 square root of 2 space sq space. straight m.
  • 400 sq. m.

  • 400 sq. m.

253 Views

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