Fractions


  1. (6.5 x 4.7 + 6.5 x 5.3 ) / (1.3 x 7.9 - 1.3 x 6.9) = ?









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    Given Expression = (6.5 x 4.7 + 6.5 x 5.3 ) / (1.3 x 7.9 - 1.3 x 6.9)
    = [6.5 x (4.7 + 5.3 )] / [13 x (7.9 - 6.9)]
    = (6.5 x 10) / (1.3 x 1)

    Correct Option: D

    Given Expression = (6.5 x 4.7 + 6.5 x 5.3 ) / (1.3 x 7.9 - 1.3 x 6.9)
    = [6.5 x (4.7 + 5.3 )] / [13 x (7.9 - 6.9)]
    = (6.5 x 10) / (1.3 x 1)
    = 50


  1. The greatest fraction out of 2/5, 5/6, 11/12 and 7/8 is ?









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    2/5 = 0.4 , 5/6 = 0.833, 11/12 = 0.916 and 7/8 = 0.875

    Correct Option: B

    2/5 = 0.4 , 5/6 = 0.833, 11/12 = 0.916 and 7/8 = 0.875
    Clearly, the greatest fraction is 0.916, i, e . 11/12.



  1. [ .6 x .6 x .6 x .4 x .4 x .4 + 3 x .6 x .4 x (.6 + .4 )] = ?









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    Given expression =(.6)3 + (.4) 3 + 3 x .6 x .4 x (.6 + .4)
    = a3 + b3 + 3ab (a+b)
    = (a+b)3

    Correct Option: D

    Given expression =(.6)3 + (.4) 3 + 3 x .6 x .4 x (.6 + .4)
    = a3 + b3 + 3ab (a+b)
    = (a+b)3
    = (.6 + .4)3
    = 13
    = 1


  1. (.58 x .58 x .58 - .42 x .42 x .42 - 3 x .58 x .42 x .16) = ?









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    Given Expression = (.53)3 - (.42)3- 3 x .58 x .42 x (.58-.42)
    = a3-b3 -3ab(a - b)
    = (a - b)3

    (where a = .58 and b=.42)

    Correct Option: A

    Given Expression = (.53)3 - (.42)3- 3 x .58 x .42 x (.58-.42)
    = a3-b3 -3ab(a - b)
    = (a - b)3

    (where a = .58 and b=.42)
    = (.58 - .42 )3
    = .16 x .16 x .16
    = 0.004096



  1. If 3 is added to the denominator of a fraction, it becomes 1/3 and if 4 be added to its numerator, It becomes 3/4, then fraction is ?









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    Let the required fraction be p/q
    ∵ p / (q + 3) = 1/3
    ⇒ 3p - q = 3 ...(i)

    and, (p + 4) / q = 3/4
    ⇒ 4p - 3q = -16 ...(ii)

    Correct Option: D

    Let the required fraction be p/q
    ∵ p / (q + 3) = 1/3
    ⇒ 3p - q = 3 ...(i)

    and, (p + 4) / q = 3/4
    ⇒ 4p - 3q = -16 ...(ii)

    Solving these equations, we get p = 5, q = 12
    ∴ Required fraction = 5/12