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  • Question
  • The radius of a sphere is 6 cm. It is melted and drawn into a wire of radius 0.2 cm. The length of the wire is


  • Options
  • A. 81 m
  • B. 80 m
  • C. 75 m
  • D. 72 m

  • Correct Answer
  • 72 m 

  • Tags: Bank Exams

    Area problems


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    • 1. The radii of two concentric circles are 68 cm and 22 cm. The area of the closed figure bounded by the boundaries of the circles is

    • Options
    • A. 4140? sq.cm.
    • B. 4110? sq.cm.
    • C. 4080? sq.cm.
    • D. 4050? sq.cm.
    • Discuss
    • 2. Two pipes of length 1.5 m and 1.2 m are to be cut into equal pieces without leaving any extra length of pipes. The greatest length of the pipe pieces of same size which can be cut from these two lengths will be

    • Options
    • A. 0.13 m
    • B. 0.4 m
    • C. 0.3 m
    • D. 0.41 m
    • Discuss
    • 3. x, y be two acute angles, x + y < 90° and sin(2x - 20°) = cos(2y + 20°), the value of tan(x + y) is

    • Options
    • A. ?3
    • B. 1/?3
    • C. 1
    • D. 2+?2
    • Discuss
    • 4. In a circle, a diameter AB and a chord PQ (which is not a diameter) intersect each other at X perpendicularly. If AX : BX = 3 : 2 and the radius of the circle is 5 cm, then the length of chord PQ is

    • Options
    • A. 2?13 cm
    • B. 5?3 cm
    • C. 4?6 cm
    • D. 6?5 cm
    • Discuss
    • 5. In an equilateral triangle ABC, G is the centroid. Each side of the triangle is 6 cm. The length of AG is

    • Options
    • A. 2?2 cm
    • B. 3?2 cm
    • C. 2?3 cm
    • D. 3?3 cm
    • Discuss
    • 6. In a trapezium ABCD, AB and DC are parallel sides and ? ADC = 90°. If AB = 15 cm, CD = 40 cm and diagonal AC = 41 cm. Then the area of the trapezium ABCD is

    • Options
    • A. 245 cm2
    • B. 240 cm2
    • C. 247.5 cm2
    • D. 250 cm2
    • Discuss
    • 7. 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
    • 8. 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
    • 9. 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
    • 10. 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


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