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Area problems


  • 1. The radii of two concentric circles are 68 cm and 22 cm. The area of the closed figure bounded by the boundaries of the circles is

  • Options
  • A. 4140? sq.cm.
  • B. 4110? sq.cm.
  • C. 4080? sq.cm.
  • D. 4050? sq.cm.
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  • 2. The radius of a sphere is 6 cm. It is melted and drawn into a wire of radius 0.2 cm. The length of the wire is

  • Options
  • A. 81 m
  • B. 80 m
  • C. 75 m
  • D. 72 m
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  • 3. In a trapezium ABCD, AB and DC are parallel sides and ? ADC = 90°. If AB = 15 cm, CD = 40 cm and diagonal AC = 41 cm. Then the area of the trapezium ABCD is

  • Options
  • A. 245 cm2
  • B. 240 cm2
  • C. 247.5 cm2
  • D. 250 cm2
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  • 4. The area of a rhombus having one side 10 cm and one diagonal 12 cm is

  • Options
  • A. 48 cm2
  • B. 96 cm2
  • C. 144 cm2
  • D. 192 cm2
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  • 5. The cost of levelling a circular field at 50 Paise per square metre is Rs 7700. The cost (in Rs) of putting up a fence all round it at Rs 1.20 per meter is ( Use ? = 22/7)

  • Options
  • A. Rs 132
  • B. Rs 264
  • C. Rs 528
  • D. Rs 1056
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  • 6. From the four corners of a rectangular sheet of dimensions 25 cm x 20 cm, square of side 2 cm is cut off from four corners and a box is made. The volume of the box is

  • Options
  • A. 828 cm3
  • B. 672 cm3
  • C. 500 cm3
  • D. 1000 cm3
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  • 7. The sum of the length and breadth of a rectangle is 6 cm. A square is constructed such that one of its sides is equal to a diagonal of the rectangle. If the ratio of areas of the square and rectangle is 5 : 2, the area of the square in cm2 is

  • Options
  • A. 20
  • B. 10
  • C. 4?5
  • D. 10?2
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  • 8. The length of a side of an equilateral triangle is 8 cm. The area of the region lying between the circum circle and the incircle of the triangle is (use: ? = 22/7)

  • Options
  • A. 50 1/7 sq.cm
  • B. 50 2/7 sq.cm
  • C. 75 1/7 sq.cm
  • D. 75 2/7 sq.cm
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  • 9. A solid sphere of radius 3 cm is melted to form a hollow right circular cylindrical tube of length 4 cm and external radius 5 cm. The thickness of the tube is

  • Options
  • A. 1 cm
  • B. 9 cm
  • C. 0.6 cm
  • D. 1.5 cm
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  • 10. Two equal circles intersect so that their centres, and the points at which they intersect form a square of side 1 cm. The area (in sq.cm) of the portion that is common to the circles is

  • Options
  • A. ?4
  • B. ?2-1
  • C. ?5
  • D. ?2 - 1
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