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Simplification Questions Answers

  • 8. Simplify
    \begin{aligned}
    \frac{\frac{7}{2}\div {\frac{5}{2}} \times {\frac{3}{2}} }{\frac{7}{2} \div { \frac{5}{2}} of \frac{3}{2} } \div 5.25
    \end{aligned}

    1. \begin{aligned} \frac{3}{5} \end{aligned}
    2. \begin{aligned} \frac{3}{6} \end{aligned}
    3. \begin{aligned} \frac{3}{7} \end{aligned}
    4. \begin{aligned} \frac{3}{8} \end{aligned}
    Answer And Explanation

    Answer: Option C

    Explanation:

    \begin{aligned}
    \frac{\frac{7}{2}\div {\frac{5}{2}} \times {\frac{3}{2}} }{\frac{7}{2} \div { \frac{5}{2}} of \frac{3}{2} }\div 5.25
    \end{aligned}

    \begin{aligned}
    = \frac{\frac{7}{2}\times {\frac{2}{5}} \times {\frac{3}{2}} }{\frac{7}{2} \div { \frac{15}{4}}}\div 5.25
    \end{aligned}

    \begin{aligned}
    = \frac{\frac{21}{10}}
    {\frac{7}{2} \times { \frac{4}{15}}}\div {\frac{525}{100}}
    \end{aligned}

    \begin{aligned}
    = \frac{21}{10}\times{\frac{15}{14}}\times\frac{100}{525}

    = \frac{6}{14}
    = \frac{3}{7}
    \end{aligned}

  • 9. Value of \begin{aligned} 2^5 \times 9^2 \end{aligned} has been written as 2596, what is the difference between actual value.

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

    Answer: Option D

  • 10. How many pieces of 0.85 meteres can be cut from a rod 42.5 meteres long

    1. 30
    2. 40
    3. 50
    4. 60
    Answer And Explanation

    Answer: Option C

    Explanation:

    We need so simple divide 42.5/0.85,
    =(4250/85) = 50

  • 11. Simplify
    (31/10) * (3/10) + (7/5) / 20

    1. 0
    2. 1
    3. 10
    4. 100
    Answer And Explanation

    Answer: Option B

    Explanation:

    = (31/10) * (3/10) + (7/5) / 20
    = (3.1) * (.3) + (1.4) / 20
    = 0.93 + 0.07
    = 1

  • 12. Find the value of X
    X = (6/119) * (63/8) * (17/9)

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

    Answer: Option C

  • 13. If p - q = 3 and
    \begin{aligned} p^2 + q^2 = 29 \end{aligned}, find the value of pq.

    1. 7
    2. 8
    3. 9
    4. 10
    Answer And Explanation

    Answer: Option D

    Explanation:

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

    \begin{aligned} 2pq = 29 - 9 = 20 \end{aligned}

    \begin{aligned} =>pq = 10 \end{aligned}

  • 14. \begin{aligned}
    \frac{4+4 \times 18 -6 - 8}{123 \times 6 - 146 \times 5 }
    \end{aligned}

    1. 7.50
    2. 7.75
    3. 8
    4. 8.05
    Answer And Explanation

    Answer: Option B

    Explanation:

    \begin{aligned}
    \frac{4+72-6-8}{738-730}
    \end{aligned}
    \begin{aligned}
    = \frac{76-14}{8}
    \end{aligned}
    \begin{aligned}
    = \frac{62}{8} = 7.75
    \end{aligned}