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CuriousTab

Volume and Surface Area problems


  • 1. ABCD is a cyclic quadrilateral of which AB is the diameter. Diagonals AC and BD intersect at E. If ?DBC = 35°, Then ?AED measures

  • Options
  • A. 35°
  • B. 45°
  • C. 55°
  • D. 90°
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  • 2. In a triangle ABC, ?A = 70°, ?B = 80° and D is the incentre of ?ABC. ?ACB = 2x° and ?BDC = y°. The values of x and y, respectively are

  • Options
  • A. 15, 130
  • B. 15, 125
  • C. 35, 40
  • D. 30, 150
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  • 3. In a right angled triangle ?DEF, if the length of the hypotenuse EF is 12 cm, then the length of the median DX is

  • Options
  • A. 3 cm
  • B. 4 cm
  • C. 6 cm
  • D. 12 cm
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  • 4. PQ and RS are common tangents to two circles intersecting at A and B. AB, when produced both sides, meet the tangents PQ and RS at X and Y, respectively. If AB = 3 cm, XY = 5 cm, then PQ (in cm) will be

  • Options
  • A. 3 cm
  • B. 4 cm
  • C. 5 cm
  • D. 2 cm
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  • 5. ABCD is a trapezium in which AB is parallel to CD and AB = 4(CD). The diagonals of the trapezium intersects at O. What is the ratio of area of triangle DCO to the area of the triangle ABO?

  • Options
  • A. 1 : 4
  • B. 1 : 2
  • C. 1 : 8
  • D. 1 : 16
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  • 6. In the given figure, ?QRU = 72°, ?TRS = 15°, ?PSR = 95° , then what is the value (in deg) of ? PQR?

  • Options
  • A. 85
  • B. 95
  • C. 75
  • D. 90
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  • 7. What can be the maximum number of common tangent which can be drawn to two non-intersecting circles?

  • Options
  • A. 2
  • B. 4
  • C. 3
  • D. 6
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  • 8. The base of a prism is in the shape of an equilateral triangle. If the perimeter of the base is 18 cm and the height of the prism is 20 cm, then what is the volume (in cm3) of the prism?

  • Options
  • A. 60?3
  • B. 30?6
  • C. 60?2
  • D. not know
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  • 9. The height of a cone is 24 cm and the area of the base is 154 cm2 . What is the curved surface area (in cm2) of the cone?

  • Options
  • A. 484
  • B. 550
  • C. 525
  • D. 515
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  • 10. A right circular solid cylinder has radius of base 7 cm and height is 28 cm. It is melted to form a cuboid such that the ratio of its side is 2 : 3 : 6. What is the total surface area (in cm2) cuboid?

  • Options
  • A. 215633
  • B. 215693
  • C. 214833
  • D. 204833
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