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CuriousTab

Volume and Surface Area problems


  • 1. If an equilateral triangle has side 12 cm, then what is the difference (in cm) between the circumradius and inradius?

  • Options
  • A. 2?2
  • B. 3?2
  • C. 2?3
  • D. 3?3
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  • 2. The lengths of two parallel sides of a trapezium are 21 cm and 9 cm. If its height is 10 cm, then what is the area (in cm2) of the trapezium?

  • Options
  • A. 35
  • B. 75
  • C. 150
  • D. 225
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  • 3. In triangle ABC, ?ABC = 90°. BP is drawn perpendicular to AC. If ?BAP = 30°, then what is the value (in degrees) of ?PBC?

  • Options
  • A. 30
  • B. 36
  • C. 45
  • D. 60
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  • 4. A solid cone of height 36 cm and radius of base 9 cm is melted to form a solid cylinder of radius 9 cm and height 9 cm. What percent of material is wasted this process?

  • Options
  • A. 25
  • B. 5
  • C. 0
  • D. 10
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  • 5. Diameter of wheel of a cycle is 21 cm. The cyclist takes 45 minutes to reach a destination at a speed of 16.5 km/hr. How many revolutions will the wheel make during the journey?

  • Options
  • A. 12325
  • B. 18750
  • C. 21000
  • D. 24350
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  • 6. The side BC of ?ABC is produced to D. If ?ACD = 114° and ?ABC= (1/2)?BAC, then what is the value (in degrees) of ?BAC?

  • Options
  • A. 36
  • B. 48
  • C. 76
  • D. 84
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  • 7. O is the center of the circle and two tangents are drawn from a point P to this circle at points A and B. If ?AOP = 50°, then what is the value (in degrees) of ?APB?

  • Options
  • A. 60
  • B. 80
  • C. 90
  • D. 100
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  • 8. In ?PQR, PQ = PR = 18 cm, AB and AC are parallel to lines PR and PQ respectively. If A is the mid-point of QR, then what is the perimeter (in cm) of quadrilateral ABPC?

  • Options
  • A. 18
  • B. 28
  • C. 32
  • D. 36
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  • 9. In ?PQR, PS and PT are bisectors of ?QPR and ?QPS respectively. If ?QPT = 30°, PT = 9 cm and TR = 15 cm, then what is the area (in cm2) of ?PTR

  • Options
  • A. 36
  • B. 54
  • C. 72
  • D. 216
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  • 10. How many spherical balls of radius 1 cm can be made by melting a hemisphere of radius 6 cm?

  • Options
  • A. 112
  • B. 108
  • C. 116
  • D. 104
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