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Home Aptitude Volume and Surface Area Comments

  • Question
  • 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

  • Correct Answer
  • 9?3 

  • Tags: Bank Exams

    Volume and Surface Area problems


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    • 1. 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
    • Discuss
    • 2. 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
    • Discuss
    • 3. 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°
    • Discuss
    • 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
    • Discuss
    • 5. 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
    • Discuss
    • 6. 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
    • Discuss
    • 7. 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
    • Discuss
    • 8. 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
    • Discuss
    • 9. 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
    • Discuss
    • 10. 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
    • Discuss


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