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Home Aptitude Decimal Fraction Comments

  • Question
  • (.125 + .027) / (.5 x .5 - 1.5 + .09) =?


  • Options
  • A. .08
  • B. 1
  • C. .2
  • D. .8

  • Correct Answer
  • .8 

    Explanation

    Given expression
    = [(0.5)3 + (0.3)3] / [(0.5)2 - 0.5 x 0.3 + (0.3)2]
    = [a3 + b3] / [a2 - ab + b2]
    = [(a + b)(a2 - ab + b2)] / [a2 -ab + b2]
    = a+b
    = 0.5 + 0.3
    = 0.8


  • Decimal Fraction problems


    Search Results


    • 1. 
      ( 0.5 x 0.5 x 0.5 x 0.6 x 0.6 x 0.6 ) / ( 0.5 x 0.5 - 0.3 + 0.6 x 0.6 ) =?

    • Options
    • A. 0.3
    • B. 1.1
    • C. 0.1
    • D. 0.61
    • Discuss
    • 2. 
      (3.65 x 3.65 + 2.35 x 2.35 - 2 x 2.35 x 3.65) / 1.69 =?

    • Options
    • A. 1.69
    • B. 2.35
    • C. 3.65
    • D. 1
    • Discuss
    • 3. 
      (.356 x .365 - 2 x .365 x .106 + .106 x .106) / (.632 x .632 + 2 x .632 x .368 +.368 x .368) =?

    • Options
    • A. .25
    • B. .0765
    • C. .345
    • D. 0.625
    • Discuss
    • 4. 
      (.896 x .752 +.896 x .248) / (.7 x .034 + .7 x.966) =?

    • Options
    • A. 1.28
    • B. 0.976
    • C. 12.8
    • D. 9.76
    • Discuss
    • 5. 
      13.065 x 13.065 - 3.065 x 3.065 =?

    • Options
    • A. 161.3
    • B. 159.5
    • C. 141.6
    • D. 100
    • Discuss
    • 6. 
      (0.47 x 0.47 x 0.47 - 0.33 x 0.33 x 0.33) / (0.47 x 0.47 + 0.47 x 0.33 + 0.33 x 0.33) =?

    • Options
    • A. 0.14
    • B. 0.8
    • C. 15.51
    • D. 1
    • Discuss
    • 7. 
      (1.04 x 1.04 + 1.04 x 0.04 + 0.04 x 0.04) / (1.04 x 1.04 x 1.04 - 0.04 x 0.04 x 0.04) =?

    • Options
    • A. 0.10
    • B. 0.1
    • C. 1
    • D. 0.01
    • Discuss
    • 8. 
      [(0.87) 3 + (0.13) 3] / [(0.87) 2 - 0.87 x 0.13 + (0.13) 2] =?

    • Options
    • A. 0.13
    • B. 0.74
    • C. 0.87
    • D. 1
    • Discuss
    • 9. 
      3 / [ 3+ {(0.3 - 3.03) / (3 x 0.91)}] =?

    • Options
    • A. 1.5
    • B. 15
    • C. .75
    • D. 1.75
    • Discuss
    • 10. 
      [{(0.1) 2 - (0.01) 2} / {0.0001 + 1 }] is equal to?

    • Options
    • A. 100
    • B. 101
    • C. 1010
    • D. 1101
    • Discuss


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