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Decimal Fraction Questions Answers

  • 29. Evaluate
    \begin{aligned}
    \frac{3.6 \times 0.48 \times 2.50}{0.12 \times 0.09 \times 0.5}
    \end{aligned}

    1. 80
    2. 800
    3. 8000
    4. 80000
    Answer And Explanation

    Answer: Option B

    Explanation:

    \begin{aligned}
    \frac{3.6 \times 0.48 \times 2.50}{0.12 \times 0.09 \times 0.5}
    \end{aligned}

    \begin{aligned}
    = \frac{36 \times 48 \times 250}{12 \times 9 \times 5} = 800
    \end{aligned}

  • 30. 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
    Answer And Explanation

    Answer: Option C

    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}

  • 31. \begin{aligned}
    \frac{5 \times 1.6 - 2 \times 1.4}{1.3} = ?
    \end{aligned}

    1. 1
    2. 2
    3. 3
    4. 4
    5. 5
    Answer And Explanation

    Answer: Option D

    Explanation:

    As per given equation we can solve like this :

    \begin{aligned}
    = \frac{8 - 2.8}{1.3} \\
    = \frac{5.2}{1.3} = \frac{52}{13} \\
    = 4
    \end{aligned}