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Simplification Questions Answers

  • 15. Simplify
    \begin{aligned}
    16-[5-(6+2(7-\overline{8-5}))]
    \end{aligned}

    1. 23
    2. 25
    3. 28
    4. 30
    Answer And Explanation

    Answer: Option B

    Explanation:

    \begin{aligned}
    = 16-[5-(6+2(7-8+5))]
    \end{aligned}
    (Please check due to overline, sign has been changed)
    \begin{aligned}
    = 16-[5-(6+2 \times 4))]
    \end{aligned}
    \begin{aligned}
    = 16-[-9] = 16 + 9 = 25
    \end{aligned}

  • 16. Simplify
    \begin{aligned} 1+\frac{1}{2}+\frac{1}{4}+\frac{1}{7}+\frac{1}{14}+\frac{1}{28} = ? \end{aligned}

    1. 2
    2. 2.3
    3. 2.6
    4. 5
    Answer And Explanation

    Answer: Option A

    Explanation:

    By taking LCM we get
    =\begin{aligned} \frac{28+14+7+4+2+1}{28}
    = \frac{56}{28} = 2\end{aligned}

  • 17. Simplify
    \begin{aligned} 1\frac{3}{4}+5\frac{1}{3}+3\frac{2}{5} \end{aligned}

    1. \begin{aligned}10\frac{29}{60} \end{aligned}
    2. \begin{aligned}8\frac{29}{60} \end{aligned}
    3. \begin{aligned}6\frac{29}{60} \end{aligned}
    4. \begin{aligned}4\frac{29}{60} \end{aligned}
    Answer And Explanation

    Answer: Option A

    Explanation:

    \begin{aligned} = \frac{7}{4}+\frac{16}{3}+\frac{17}{5} \end{aligned}

    \begin{aligned} = \frac{105+320+204}{60}
    \end{aligned}
    \begin{aligned} = \frac{629}{60}
    \end{aligned}
    \begin{aligned} = 10\frac{29}{60}
    \end{aligned}

  • 18. a * b = 2a - 3b + ab, then 3*5 + 5*3 = ?

    1. 20
    2. 21
    3. 22
    4. 23
    Answer And Explanation

    Answer: Option C

    Explanation:

    = 2(3)-3(5)+(3*5) + 2(5)-3(3)+(5*3)
    = 6-15+15+10-9+15 = 31-9 = 22

  • 19. \begin{aligned} 3034 -(1002 \div 20.04) = ? \end{aligned}

    1. 1964
    2. 1984
    3. 2964
    4. 2984
    Answer And Explanation

    Answer: Option D

    Explanation:

    \begin{aligned}
    = 3034 -( \frac{1002}{2004} \times 100)
    \end{aligned}
    \begin{aligned}
    = 3034 - 50 = 2984
    \end{aligned}

  • 20. Value of
    \begin{aligned}
    \frac{1}{2+\frac{1}{2+\frac{1}{2-\frac{1}{2}}}}

    \end{aligned}

    1. \begin{aligned} \frac{6}{19} \end{aligned}
    2. \begin{aligned} \frac{7}{19} \end{aligned}
    3. \begin{aligned} \frac{8}{19} \end{aligned}
    4. \begin{aligned} \frac{9}{19} \end{aligned}
    Answer And Explanation

    Answer: Option C

    Explanation:

    \begin{aligned}
    = \frac{1}{2+\frac{1}{2+\frac{1}{\frac{3}{2}}}}
    \end{aligned}
    \begin{aligned}
    = \frac{1}{2+\frac{1}{2+\frac{2}{3}}}
    \end{aligned}

    \begin{aligned}
    = \frac{1}{2+\frac{1}{\frac{8}{3}}}
    \end{aligned}

    \begin{aligned}
    = \frac{1}{2+\frac{3}{8}}
    \end{aligned}

    \begin{aligned}
    = \frac{1}{\frac{19}{8}}
    \end{aligned}

    \begin{aligned}
    = \frac{8}{19}
    \end{aligned}

  • 21. The number of girls in a class are 7 times the number of boys, which value can never be the of total students

    1. 40
    2. 48
    3. 24
    4. 30
    Answer And Explanation

    Answer: Option D

    Explanation:

    Let the boys are X, then girls are 7X, total = X+7X = 8X

    So it should be multiple of 8, 30 is not a multiple of 8.