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CuriousTab

Volume and Surface Area problems


  • 1. The measure of the four successive angles of a quadrilateral are in the ratio 7 : 11 : 7 : 11. The quadrilateral is a ______.

  • Options
  • A. trapezium
  • B. rectangle
  • C. parallelogram
  • D. square
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  • 2. The internal bisectors of ?Q and ?R of triangle PQR meet at O. If ?P = 70°, then what is the measure of ?QOR (in degrees)?

  • Options
  • A. 110
  • B. 115
  • C. 125
  • D. 135
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  • 3. If the areas of two similar triangle are in the ratio 5 : 7, then what is the ratio of the corresponding sides of these two triangles?

  • Options
  • A. 5 : 7
  • B. 25 : 49
  • C. ?5 : ?7
  • D. 125 : 343
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  • 4. ABCD is an isosceles trapezium such that AD||BC, AB = 5 cm, AD = 8 cm and BC = 14 cm. What is the area (in cm2) of trapezium?

  • Options
  • A. 36
  • B. 44
  • C. 88
  • D. 144
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  • 5. From the circumcentre I of the triangle ABC, perpendicular ID is drawn on BC. If ?BAC = 60°, then the value of ?BID is

  • Options
  • A. 60°
  • B. 80°
  • C. 75°
  • D. 45°
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  • 6. The lengths of two diagonals of a rhombus are 24 cm and 32 cm. What is the side (in cm) of the rhombus?

  • Options
  • A. 20
  • B. 40
  • C. 60
  • D. 80
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  • 7. PQRS is a square, M is the mid-point of PQ and N is a point on QR such that NR is two-third of QR. If the area of ?MQN is 48 cm2 , then what is the length (in cm) of PR ?

  • Options
  • A. 12?2
  • B. 12
  • C. 24
  • D. 24?2
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  • 8. The tangents drawn at points A and B of a circle with centre O, meet at P. If ?AOB = 120° and AP = 6 cm, then what is the area of triangle (in cm2) APB?

  • Options
  • A. 6?3
  • B. 8?3
  • C. 9
  • D. 9?3
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  • 9. Due to increase of k% in the side, the area of a square increases by 69%. What is the value of k?

  • Options
  • A. 30
  • B. 33
  • C. 34.5
  • D. 35
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  • 10. The length of diagonal BD of a parallelogram ABCD is 36 cm. P and Q are the centroids of triangle ABC and triangle ADC respectively. What is the length (in cm) of PQ?

  • Options
  • A. 6
  • B. 9
  • C. 12
  • D. 18
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