Fractions


  1. ( 0.6 + .7 + .8 + .3) = ?









  1. View Hint View Answer Discuss in Forum

    0.6 + .7 + .8 + .3
    = ( 6/9 + 7/9 + 8/9 + 3/9)

    Correct Option: C

    0.6 + . 7 + .8 + .3
    = ( 6/9 + 7/9 + 8/9 + 3/9)
    = 24 / 9
    = 8 / 3
    = 22/3


  1. If 1.5 x a = 0.04 x b then the value of (b - a) / ( b + a) is ?









  1. View Hint View Answer Discuss in Forum

    a / b = 0.04 / 1.5
    = 4 / 150
    = 2 / 75

    ∴ Given Exp. (b - a) / ( b + a)
    = (1- a/b ) / (1 + a/b)

    Correct Option: B

    a / b = 0.04 / 1.5
    = 4 / 150
    = 2 / 75

    ∴ Given Exp. (b - a) / ( b + a)
    = (1- a/b ) / (1 + a/b)
    = (1- 2 / 75) / (1 + 2 / 75)
    = ( 73/75 ) / ( 77/75)
    = 73/77



  1. If √0.05 x 0.5 x a = 0.5 x 0.05 x √b, then a/b = ?









  1. View Hint View Answer Discuss in Forum

    Given expression = √0.5 x .5 x a = .5 x .05 x √ b
    ⇒ √.025 x a = 0.25 x ⇒ b
    ⇒ 0.025a = 0.25 x .025 x b
    ∴ a/b = (.025 x .025) /.025
    = .025

    Correct Option: B

    Given expression = √0.5 x .5 x a = .5 x .05 x √ b
    ⇒ √.025 x a = 0.25 x ⇒ b
    ⇒ 0.025a = 0.25 x .025 x b
    ∴ a/b = (.025 x .025) /.025
    = .025


  1. (.23 - .023) / ( .0023 / 23 ) = ?









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    Given expression = (.23 - .023) / ( .0023 / 23 )
    = .207 / (.0023 / 23)
    = .207 / .0001
    =.2070 / .0001

    Correct Option: C

    Given expression = (.23 - .023) / ( .0023 / 23 )
    = .207 / (.0023 / 23)
    = .207 / .0001
    =.2070 / .0001
    = 2070



  1. [(3.537 - .948)2 + (3.537 + .948)2] / [(3.537)2 + (.948)2] = ?









  1. View Hint View Answer Discuss in Forum

    Given expression = [(3.537 - .948)2 + (3.537 + .948)2] / [(3.537)2 + (.948)2]
    = [(a - b)2 + (a + b)2] / (a2 + b2)

    Correct Option: D

    Given expression = [(3.537 - .948)2 + (3.537 + .948)2] / [(3.537)2 + (.948)2]
    = [(a - b)2 + (a + b)2] / (a2 + b2)

    (Where a = 3.537 and b = 0.948)
    = 2(a2 +b2) / (a2 +b2)
    = 2