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  • Question

  • A solid sphere of radius 3 cm is melted to form a hollow right circular cylindrical tube of length 4 cm and external radius 5 cm. The thickness of the tube is


  • Options
  • A. 1 cm
  • B. 9 cm
  • C. 0.6 cm
  • D. 1.5 cm

  • Correct Answer
  • 1 cm 

    • Tags: Bank Exams

    Area problems

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    • 1. The length of a side of an equilateral triangle is 8 cm. The area of the region lying between the circum circle and the incircle of the triangle is (use: ? = 22/7)

    • Options
    • A. 50 1/7 sq.cm
    • B. 50 2/7 sq.cm
    • C. 75 1/7 sq.cm
    • D. 75 2/7 sq.cm
      • Discuss
    • 2. The sum of the length and breadth of a rectangle is 6 cm. A square is constructed such that one of its sides is equal to a diagonal of the rectangle. If the ratio of areas of the square and rectangle is 5 : 2, the area of the square in cm2 is

    • Options
    • A. 20
    • B. 10
    • C. 4?5
    • D. 10?2
      • Discuss
    • 3. From the four corners of a rectangular sheet of dimensions 25 cm x 20 cm, square of side 2 cm is cut off from four corners and a box is made. The volume of the box is

    • Options
    • A. 828 cm3
    • B. 672 cm3
    • C. 500 cm3
    • D. 1000 cm3
      • Discuss
    • 4. The cost of levelling a circular field at 50 Paise per square metre is Rs 7700. The cost (in Rs) of putting up a fence all round it at Rs 1.20 per meter is ( Use ? = 22/7)

    • Options
    • A. Rs 132
    • B. Rs 264
    • C. Rs 528
    • D. Rs 1056
      • Discuss
    • 5. The area of a rhombus having one side 10 cm and one diagonal 12 cm is

    • Options
    • A. 48 cm2
    • B. 96 cm2
    • C. 144 cm2
    • D. 192 cm2
      • Discuss
    • 6. Two equal circles intersect so that their centres, and the points at which they intersect form a square of side 1 cm. The area (in sq.cm) of the portion that is common to the circles is

    • Options
    • A. ?4
    • B. ?2-1
    • C. ?5
    • D. ?2 - 1
      • Discuss
    • 7. PQRA is a rectangle, AP = 22 cm, PQ = 8 cm. ?ABC is a triangle whose vertices lie on the sides of PQRA such that BQ = 2 cm and QC = 16 cm .Then the length of the line joining the mid points of the sides AB and BC is

    • Options
    • A. 4?2 cm
    • B. 5 cm
    • C. 6 cm
    • D. 10 cm
      • Discuss
    • 8. D and E are points on the sides AB and AC respectively of ?ABC such that DE is parallel to BC and AD:DB = 4:5, CD and BE intersect each other at F. Then the ratio of the areas of ?DEF and ?CBF

    • Options
    • A. 16:25
    • B. 16:81
    • C. 81:16
    • D. 4:9
      • Discuss
    • 9. Diagonals of a Trapezium ABCD with AB || CD intersect each other at the point O. If AB = 2CD, then the ratio of the areas of ?AOB and ?COD is

    • Options
    • A. 4:1
    • B. 1:16
    • C. 1:4
    • D. 16:1
      • Discuss
    • 10. If O is the orthocentre of a triangle ABC and ?BOC = 100°, the measure of ?BAC is

    • Options
    • A. 100°
    • B. 180°
    • C. 80°
    • D. 200°
      • Discuss

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