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  • Question

  • 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

  • Correct Answer
  • 9 cm 

    • Tags: Bank Exams

    Volume and Surface Area problems

    Search Results

    • 1. 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
    • 2. 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
    • 3. 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
      • Discuss
    • 4. 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
    • 5. 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
    • 6. 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
    • 7. 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
    • 8. Which of the following is not true for a rhombus?

    • Options
    • A. All sides are congruent
    • B. Opposite sides are parallel
    • C. Diagonals are equal
    • D. Diagonals bisect each other at right angles
      • Discuss
    • 9. The ratio between the vertical angle and a base angle of an isosceles triangle is 4:3. The value of any one base angle is

    • Options
    • A. 18 deg
    • B. 54 deg
    • C. 72 deg
    • D. 10 deg
      • Discuss
    • 10. In ?ABC, ?B=90 deg and BC= ?3 AB. Find the measurement of ?A

    • Options
    • A. 45 deg
    • B. 90 deg
    • C. 30 deg
    • D. 60 deg
      • Discuss

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