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  • Question
  • Wheels of diameters 7cm and 14cm start rolling simultaneously from x & y which are 1980 cm apart towards each other in opposite directions. Both of them make the same number of revolutions per second. If both of them meet after 10seconds.The speed of the smaller wheel is


  • Options
  • A. 22m/s
  • B. 33m/s
  • C. 44m/s
  • D. 55m/s

  • Correct Answer
  • 22m/s 

    Explanation

    let each wheel make x revolutions per sec. Then 2 ? * 7 2 * x + 2 ? * 7 * x * 10 = 1980 2 * 22 7 * 7 2 * x + 2 * 22 7 * 7 2 * x = 198

      66 x = 198  

    distance moved by smaller wheel in 3 revolutions 

    = 2 * 22 7 * 7 2 * 3 = 66 c m  

    speed of smaller wheel =  66 3  m/s = 22m/s

  • Tags: Bank Exams, Bank PO

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    • 1. A cow s tethered in the middle of a field with a 14feet long rope.If the cow grazes 100 sq feet per day, then approximately what time will be taken by the cow to graze the whole field?

    • Options
    • A. 616
    • B. 716
    • C. 816
    • D. 516
    • Discuss
    • 2. The perimeters of two squares are 40cm and 32 cm. Find the perimeter of a third square whose area is equal to the difference of the areas of the two squares.

    • Options
    • A. 12
    • B. 24
    • C. 36
    • D. 48
    • Discuss
    • 3. Two concentric circles form a ring. The inner and outer circumference of the ring are 352/7 m and 528/7m respectively.Find the width of the ring.

    • Options
    • A. 5
    • B. 4
    • C. 3
    • D. 2
    • Discuss
    • 4. Chord AB of a circle when extended meets the tangent to the circle at point P. PT is the tangent touching the circle at point T. If lengths of PT and PB are 6 cm and 4 cm respectively, what is the length of PA?

    • Options
    • A. 12 cm
    • B. 11 cm
    • C. 10 cm
    • D. 9 cm
    • Discuss
    • 5. Calculate the number of bricks, each measuring 25 cm x 15 cm x 8 cm required to construct a wall of dimensions 10 m x 4 cm x 6 m when 10% of its volume is occupied by mortar ?

    • Options
    • A. 720
    • B. 600
    • C. 660
    • D. 6000
    • Discuss
    • 6. The length of the rectangle is 20% more than its breadth . what will be the ratio of the area of the rectangle to that of the square whose side is equal to the breadth of the rectangle?

    • Options
    • A. 2:1
    • B. 5:6
    • C. 6:5
    • D. data is inadequate
    • Discuss
    • 7. The perimeter of a square is equal to twice the perimeter of a rectangle of length 8cm and breadth 7cm. What is the circumference of a semicircle whose diameter is equal to the side of the square ?

    • Options
    • A. 55.12 cm
    • B. 22.54 cm
    • C. 42.51 cm
    • D. 38.57 cm
    • Discuss
    • 8. If a 36 cm thread is used to wrap a book, lengthwise twice and breadth wise once, what is the size of the book ?

    • Options
    • A. 288 sq.cm
    • B. 188 sq.cm
    • C. 144 sq.cm
    • D. 244 sq.cm
    • Discuss
    • 9. Let A(O,-1), B(0,3) and C(2,1) be three points. Let ?1 be the area of the triangle ABC and ?2 be the area of the triangle formed by the mid points of the sides of the triangle whose vertices are A, B and C such that ?1 =1 , ?2=x Find the value of x .

    • Options
    • A. 4
    • B. 5
    • C. 2
    • D. 3
    • Discuss
    • 10. A man walking at the speed of 4 kmph crosses a square field diagonally in 3 meters.The area of the field is

    • Options
    • A. 10000
    • B. 20000
    • C. 30000
    • D. 40000
    • Discuss


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