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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


D.

70

No space of space revolutions space equals space Distance over Circumference
rightwards double arrow space space space space space 5000 space equals space space fraction numerator 11 space cross times space 1000 space cross times space 100 over denominator πd end fraction
rightwards double arrow space space πd space equals space fraction numerator 11 space cross times space 100 over denominator 5 end fraction
rightwards double arrow space space space 22 over 7 space cross times space straight d space equals space 220
rightwards double arrow space space space space straight d space equals space 70 space cm
∴   Diameter of the wheel = 70 cm.

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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

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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

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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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