Decimal Fraction Questions Answers

  • 22. Evaluate
    \begin{aligned} \frac{10.3 \times 10.3 \times 10.3 + 1}{10.3 \times 10.3 - 10.3 + 1}
    \end{aligned}

    1. 113
    2. 1.13
    3. 11.3
    4. 113
    5. G
    6. I
    7. J
    8. H
    Answer :

    Option

    Explanation:

    \begin{aligned}
    a^3 + b^3 = (a+b)(a^2 + b^2 - ab)
    \end{aligned}

    \begin{aligned}
    = \frac{10.3^3 + 1^3}
    {10.3^2 + 1^2 - 10.3 \times 1}
    \end{aligned}

    \begin{aligned}
    = (a+b) = (10.3+1) = 11.3
    \end{aligned}

  • 23. Correct expression of \begin{aligned}
    6.\overline{46}
    \end{aligned} is

    1. \begin{aligned} \frac{640}{99} \end{aligned}
    2. \begin{aligned} \frac{640}{90} \end{aligned}
    3. \begin{aligned} \frac{64000}{99} \end{aligned}
    4. \begin{aligned} \frac{640}{9} \end{aligned}
    Answer :

    Option A

    Explanation:

    \begin{aligned}
    6.\overline{46} = 6 + 0.\overline{46}
    = 6 + \frac{46}{99}
    = 6\frac{46}{99} = \frac{640}{99}
    \end{aligned}

  • 24. Arrange fractions in descending order

    1. 9/11 > 8/9 > 3/5 > 4/7
    2. 9/11 > 8/9 > 4/7 > 3/5
    3. 8/9 > 9/11 > 3/5 > 4/7
    4. 9/11 >3/5 > 8/9 > 4/7
    Answer :

    Option C

    Explanation:

    9/11 = .818 , 8/9 = .88 , 3/5 = .6, 4/7 = .571

    So order is 8/9 > 9/11 > 3/5 > 4/7

  • 25. 617 + 6.017 + 0.617 + 6.0017 = ?

    1. 62.96357
    2. 62963.57
    3. 62.96357
    4. 629.6357
    Answer :

    Option D

  • 26. Evaluate
    \begin{aligned}
    3.\overline{14}
    \end{aligned}

    1. \begin{aligned} 3\frac{14}{99} \end{aligned}
    2. \begin{aligned} \frac{14}{99} \end{aligned}
    3. \begin{aligned} 3\frac{14}{90} \end{aligned}
    4. \begin{aligned} 3\frac{1400}{99} \end{aligned}
    Answer :

    Option A

    Explanation:

    when there is bar above a number, we can simplify it by dividing with 9's (equal to the number below bar, in this question 2 digits are below bar)

  • 27. What is difference between biggest and smallest fraction among 2/3, 3/4, 4/5 and 5/6

    1. 2/5
    2. 3/5
    3. 1/6
    4. 1/7
    Answer :

    Option C

    Explanation:

    2/3 = .66, 3/4 = .75, 4/5 = .8 and 5/6 = .833

    So biggest is 5/6 and smallest is 2/3

    Their difference is 5/6 - 2/3 = 1/6

  • 28. What decimal of an hour is a second

    1. .0028
    2. .0027
    3. .0026
    4. .0025
    Answer :

    Option B

    Explanation:

    1/(60*60) = 1/3600 = .0027

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