If the circumference of a circle is decreased by 50%, then the pe

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 Multiple Choice QuestionsMultiple Choice Questions

81.

The diagonals of two squares are in the ratio 5 : 2. The ratio of their areas is:

  • 5 : 6

  • 25 : 4

  • 5 : 4

  • 125 : 8

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82.

The lengths of diagonals of a rhombus are 24 cm and 10 cm, the perimeter of the rhombus (in cm) is:

  • 52

  • 56

  • 68

  • 72

70 Views

83.

If x is the area, y is the circumference and z is the diameter of circle then the value of straight x over yz is

  • 4 : 1

  • 1 : 4

  • 1 : 2

  • 2 : 1

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84.

The four sides of a quadrilateral are in the  ratio of 2 : 3 : 4 : 5 and its perimeter is 280 m. The length of the longest side is:

  • 100 m

  • 150 m

  • 175 m

  • 180 m

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85.

Two adjacent sides of a parallelogram are 21 cm and 20 cm. The diagonal joining the end points of these two sides is 29 cm. The area of the parallelogram (in sq cm) is

  • 240

  • 120

  • 210

  • 420

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86.

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 approximately equal to:

  • 36.6 cm2

  • 54.2 cm2

  • 72.8 cm2

  • 98.5 cm2

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87.

The lengths of the diagonal of a rhombus are 8cm and 6 cm. The area of rhombus is:

  • 96 cm2

  • 60 cm2

  • 48 cm2

  • 24 cm2


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88.

If the circumference of a circle is decreased by 50%, then the percentage of decrease in its area is

  • 25

  • 50

  • 60

  • 75


D.

75

Shortcut Method:
Net percentage decrease in area:
equals space open parentheses straight x space plus space straight y space minus space xy over 100 close parentheses percent sign
equals space open parentheses 50 space plus space 50 space minus space fraction numerator 50 space cross times space 50 over denominator 100 end fraction close parentheses percent sign
equals space open parentheses 100 space minus space 25 close parentheses percent sign
equals space 75 percent sign

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89.

An equilateral triangle of side 6 cm has its corners cut off to form a regular hexagon. Area (in cm2) of this regular hexagon will be

  • 3√3

  • 3√6

  • 6√3

  • 5√3 / 2

58 Views

90.

A bicycle wheel makes 5000 revolutions in moving 11 km. Then, the radius of the wheel (in cm) is open parentheses take space straight pi space equals space 22 over 7 close parentheses

  • 70

  • 35

  • 17.5

  • 140

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