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CuriousTab

Volume and Surface Area problems


  • 1. Point P (8 , 5) is the midpoint of segment AB. Co-ordinates of A are (5, y) and B are (x, -3). What is the value of x?

  • Options
  • A. -11
  • B. 11
  • C. 7
  • D. -7
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  • 2. ?ABC is an equilateral triangle and D, E are midpoints of AB and BC respectively. Then the area of ?ABC : the area of the trapezium ADEC is

  • Options
  • A. 5:3
  • B. 4:1
  • C. 8:5
  • D. 4:3
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  • 3. In an isosceles triangle ABC, AB = AC, XY || BC. If ?A = 30, then ?BXY =

  • Options
  • A. 75°
  • B. 30°
  • C. 150°
  • D. 105°
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  • 4. What is the reflection of the point (5 , -1) in the line y = 2?

  • Options
  • A. (5, -5)
  • B. (-5, -5)
  • C. (5, 5)
  • D. (-5, 5)
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  • 5. ? ABC is right angled at B. If m?A = 30°. What is the length (in cm) of AB, if AC = 8 cm?

  • Options
  • A. 2?3
  • B. 4?3
  • C. 4/?3
  • D. 2/?3
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  • 6. The surface area of a sphere is 5544 cm2. Find its diameter (in cm).

  • Options
  • A. 42
  • B. 21
  • C. 84
  • D. 63
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  • 7. The line segment AB intersects the straight line CD at B; AB will be smallest when ? ABD (in degrees) is

  • Options
  • A. 30
  • B. 60
  • C. 90
  • D. 45
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  • 8. ? PQR is right angled at Q. If m?R = 60°, what is the length of PR (in cm), if RQ = 4?3 cm?

  • Options
  • A. 8
  • B. 4
  • C. 8/?3
  • D. 8?3
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  • 9. ?ABC is isosceles having AB = AC and ?A = 40°. Bisectors PO and OQ of the exterior angles ?ABD and ?ACE formed by producing BC on both sides, meet at O. Then the value of ?BOC is

  • Options
  • A. 70°
  • B. 110°
  • C. 80°
  • D. 55°
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  • 10. A right triangular prism has equilateral triangle as its base. Side of the triangle is 15 cm. Height of the prism is 20?3 cm. What is the volume (in cm3) of the prism?

  • Options
  • A. 1125
  • B. 6750
  • C. 4500
  • D. 3375
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