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Home Aptitude Ratio and Proportion See What Others Are Saying!
  • Question
  • If (a + b ) : (a - b) = 5 : 3, then find ( a 2 + b 2 ) : ( a 2 - b 2 ) .


  • Options
  • A. 17 : 15
  • B. 25 : 9
  • C. 4 : 1
  • D. 16 : 1

  • Correct Answer
  • 17 : 15 

    Explanation

    (a + b) / (a - b) = 5/3
    ? 3a + 3b = 5a - 5b
    ? 2a = 8b
    ? a = 4b,
    ? a/b = 4/1

    Now, ( a2 + b2 ) / (a2 - b2 ) = [a2 / (b2+1)] / [a2 / (b2 -1)]
    = [( a/b )2 + 1] / [( a/b )2 - 1] = [( 4/1 )2 + 1] / [( 4/1 )2 - 1]
    = [16 + 1] / [16 - 1] = 17/15
    ? ( a2 + b2 ) : ( a2 - b2 ) = 17 : 15


  • More questions

    • 1. 
      The value of 47 / 10000 is?

    • Options
    • A. .0047
    • B. .0470
    • C. .00047
    • D. .000047
    • Discuss
    • 2. 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
    • 3. 
      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
    • 4. 
      .02 =(......?.....)%

    • Options
    • A. 20
    • B. 2
    • C. .02
    • D. .2
    • Discuss
    • 5. 
      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
    • 6. 
      2?63 / 11 =233

    • Options
    • A. 4
    • B. 3
    • C. 6
    • D. 5
    • Discuss
    • 7. 
      When 121012 is divided by 12, the remainder is

    • Options
    • A. 0
    • B. 2
    • C. 3
    • D. 4
    • Discuss
    • 8. 
      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
    • 9. 
      750.0003 ÷ 19.999 =?

    • Options
    • A. 49
    • B. 18
    • C. 22
    • D. 38
    • Discuss
    • 10. 
      105, 85, 60, 30, 0, - 45, - 90?

    • Options
    • A. 0
    • B. 85
    • C. -45
    • D. 60
    • Discuss


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