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Home ‣ Aptitude ‣ Volume and Surface Area Comments
  • Question

  • A circle has its centre at O . A tangent drawn from a point P , which is situated outside the circle, touches the circle at A. If PA = 4 cm & PO=5 cm, then the length of the radius of the circle is


  • Options
  • A. 1 cm
  • B. 2 cm
  • C. 3 cm
  • D. 4 cm

  • Correct Answer
  • 3 cm 

    • Tags: Bank Exams

    Volume and Surface Area problems

    Search Results

    • 1. D, E, F are the mid - points of the sides BC , CA and AB respectively of a ?ABC . Then the ratio of the areas of ?DEF and ?ABC is

    • Options
    • A. 1/2
    • B. 1/4
    • C. 1/8
    • D. 1/16
      • Discuss
    • 2. PT is a tangent to a circle with centre O and radius 6 cm . If PT is 8 cm then length of OP is

    • Options
    • A. 10 cm
    • B. 12 cm
    • C. 16 cm
    • D. 9 cm
      • Discuss
    • 3. In ?ABC , DE || AC. Where D and E are two points lying on AB and BC respectively. If AB = 5 cm and AD = 3 cm, then BE : EC is

    • Options
    • A. 2:3
    • B. 3:2
    • C. 5:3
    • D. 3:5
      • Discuss
    • 4. Thousand solid metallic spheres of diameter 6 cm are melted and recast into a new solid sphere. The diameter of the new sphere (in cm) is

    • Options
    • A. 30
    • B. 90
    • C. 45
    • D. 60
      • Discuss
    • 5. In a circle, a chord, 5?2 cm long, makes a right angle at the centre. Then the length of the radius of the circle will be

    • Options
    • A. 2.5 cm
    • B. 5 cm
    • C. 7.5 cm
    • D. 10 cm
      • Discuss
    • 6. An inverted conical shaped vessel is filled with water to its brim. The height of the vessel is 8 cm and radius of the open end is 5 cm . When a few solid spherical metallic balls each of radius 1?2 cm are dropped in the vessel , 25% water is overflowed. The number of balls is:

    • Options
    • A. 100
    • B. 400
    • C. 200
    • D. 150
      • Discuss
    • 7. Number of circles that can be drawn through three non-colinear points is

    • Options
    • A. exactly one
    • B. two
    • C. three
    • D. more than three
      • Discuss
    • 8. Two circles touch each other internally. The radius of the smaller circle is 6 cm and the distance between the centre of two circles is 3 cm. The radius of the larger circle is

    • Options
    • A. 7.5 cm
    • B. 9 cm
    • C. 8 cm
    • D. 10 cm
      • Discuss
    • 9. PQR is an equilateral triangle. MN is drawn parallel to QR such that M is on PQ and N is on PR. If PN = 6 cm, then the length of MN is

    • Options
    • A. 3 cm
    • B. 6 cm
    • C. 12 cm
    • D. 4.5 cm
      • Discuss
    • 10. The radius and the height of a cone are each increased by 20%. Then the volume of the cone increases by

    • Options
    • A. 20%
    • B. 20.5%
    • C. 62%
    • D. 72.8%
      • Discuss

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