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 Multiple Choice QuestionsMultiple Choice Questions

91.

A copper wire is bent in the shape of a square of area 81 cm2. If the same wire is bent in the form of a semicircle, the radius (in cm) of the semicircle is open parentheses take space straight pi space equals space 22 over 7 close parentheses

  • 16

  • 14

  • 10

  • 7

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92.

The perimeter of a triangle is 40 cm and its area is 60 cm2. If the largest side measures 17 cm, then the length (in cm) of the smallest side of the triangle is

  • 4

  • 6

  • 8

  • 15

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93.

A bicycle wheel makes 5000 revolutions in moving 11 km. The diameter of the wheel (in cm) is

  • 35

  • 55

  • 65

  • 70

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94.

If a wire is bent into the shape of a square, then the area of the square so formed 81 cm2. When the wire is rebent into semicircular shape, then the area (in cm2) of the semi-circle will be open parentheses Use space straight pi space equals space 22 over 7 close parentheses

  • 22

  • 44

  • 77

  • 154

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95.

At each corner of the triangular filed of sides 26 m, 28 m and 30 m, a cow is tethered by a rope of length 7m. The area (in m2) ungrazed by the cows is

  • 336

  • 259

  • 154

  • 77


B.

259

Semi-perimeter of a triangular field (s) = (a + b + c)/2 = (26 + 28 + 30)/2 = 42 m.
Area of triangular field :
equals space square root of straight s left parenthesis straight s minus straight a right parenthesis thin space left parenthesis straight s minus straight b right parenthesis thin space left parenthesis straight s minus straight c right parenthesis end root
equals space square root of 42 left parenthesis 42 minus 26 right parenthesis thin space left parenthesis 42 minus 38 right parenthesis thin space left parenthesis 42 minus 30 right parenthesis end root
space equals space square root of 42 space cross times space 16 space cross times space 14 space cross times space 12 end root space equals space 336 space straight m squared        

Area gazed by all cows:
equals space πr squared space cross times space straight theta over 360
equals space πr squared space cross times space fraction numerator 180 degree over denominator 360 degree end fraction
equals space πr squared over 2
equals space 22 over 7 space cross times 1 half space cross times space 7 space cross times space 7 space straight m squared
equals space 77 space straight m squared
∴  Area of ungrazed field = 336 - 77  = 259 m2

     

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96.

If the radius of a circle is increased by 50%, its area is increased by

  • 125%

  • 100%

  • 75%

  • 50%

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97.

A rectangular garden is 100 m x 80 m. There is a path along the garden and just outside it. Width of the path is 10 m. The area of the path is

  • 1900 sq m

  • 2400 sq m

  • 3660 sq m

  • 4000 sq m

30 Views

98.

A rail road curve is to be laid out on a circle. What radius should be used if the track is to change direction by 25° in a distance of 40 m?

  • 91.64 m

  • 90.46 m

  • 89.64 m

  • 93.64 m

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99.

When a pendulum of length 50 cm oscillates, it produces an arc of 16 cm. The angle so formed in degree measure is (approx.)

  • 18°25'

  • 18°35'

  • 18°20'

  • 18°08'

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100.

Side AB of rectangle ABCD is divided into four equal parts by points x, y, z. The ratio of the

is

  • 1/6

  • 1/9

  • 1/8

  • 1/7

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