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Home Aptitude Simplification See What Others Are Saying!
  • Question
  • If x + a/x = b , then the value of ( x2 + bx + a) / ( bx2 - x3 ) is?


  • Options
  • A. a + b
  • B. 2b/a
  • C. b/a
  • D. ab

  • Correct Answer
  • 2b/a 

    Explanation

    Given in question,
    x + a/x = b
    ? ( x2 + a )/x = b
    ? x2 + a = bx .........................(i)
    ? bx - x2 = a .........................(ii)
    Now Given in question,
    ( x2 + bx + a ) / ( bx2 - x3 )
    ? ( x2 + a + bx ) / ( bx2 - x3 )
    Put the value of x2 + a from equation (i) in above equation,
    ? ( bx + bx )/(bx2 - x3)
    = (2bx)/( bx2 - x3 )
    = (2bx)/x( bx - x2 )
    = 2b/(bx - x2)
    Put the value of bx - x2 from equation (ii) in above equation, we will get
    = 2b/a


  • More questions

    • 1. 
      The median for the data 2, 4, 6, 8, 10, 12, 14 is

    • Options
    • A. 6
    • B. 8
    • C. 9.5
    • D. 10
    • Discuss
    • 2. 
      The value of 47 / 10000 is?

    • Options
    • A. .0047
    • B. .0470
    • C. .00047
    • D. .000047
    • Discuss
    • 3. If 4x = 18y, then the value of ( x/y - 1) is

    • Options
    • A. 1 3
    • B. 7 2
    • C. 2 3
    • D. 3 2
    • Discuss
    • 4. 
      If the price of 23 toys is Rs. 276, then what will the price (Rs.) of 12 toys?

    • Options
    • A. 144
    • B. 158
    • C. 159
    • D. 166
    • Discuss
    • 5. 
      .02 =(......?.....)%

    • Options
    • A. 20
    • B. 2
    • C. .02
    • D. .2
    • Discuss
    • 6. 
      If 36 men can do a piece of work in 25 hours, in how many hours will 15 men do it?

    • Options
    • A. 45
    • B. 55
    • C. 60
    • D. 72
    • Discuss
    • 7. 
      2?63 / 11 =233

    • Options
    • A. 4
    • B. 3
    • C. 6
    • D. 5
    • Discuss
    • 8. 
      When 121012 is divided by 12, the remainder is

    • Options
    • A. 0
    • B. 2
    • C. 3
    • D. 4
    • Discuss
    • 9. 
      Aarti can do a piece of work in 6 days. In how many days will she complete three time of work of same type?

    • Options
    • A. 18 days
    • B. 21 days
    • C. 3 days
    • D. 6 days
    • Discuss
    • 10. 
      750.0003 ÷ 19.999 =?

    • Options
    • A. 49
    • B. 18
    • C. 22
    • D. 38
    • Discuss


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