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    Simplify: 1035÷[34(71+65)−1534]1035 \div \left[ \frac{3}{4}(71+65)-15\frac{3}{4}\right]1035÷[43​(71+65)−1543​]​​
    Question

    Simplify: 1035÷[34(71+65)1534]1035 \div \left[ \frac{3}{4}(71+65)-15\frac{3}{4}\right]​​

    A.

    18

    B.

    20

    C.

    12

    D.

    24

    Correct option is C

    Given: 
    1035÷[34(71+65)1534]1035 \div \left[ \frac{3}{4}(71+65)-15\frac{3}{4}\right] 
    Concept Used:  
    BODMAS rule; 
    Operation preference wiseSymbolBrackets[],,()Orders,of²(power),(root),ofDivision÷Multiplication×Addition+Subtraction\begin{array}{|c|c|} \hline \textbf{Operation preference wise} & \textbf{Symbol} \\ \hline Brackets &[],{}, () \\ \hline Orders, of & ² (power), √ (root) , of \\ \hline Division & ÷ \\ \hline Multiplication & × \\ \hline Addition & + \\ \hline Subtraction & - \\ \hline \end{array}  
    Solution: 
    =1035÷[34(71+65)1534] =1035÷[34(136)634] =1035÷[4084634] =1035÷[3454] =1035×4345 =3×4 =12 = 1035 \div \left[ \frac{3}{4}(71+65)-15\frac{3}{4}\right] \\ \ \\ = 1035 \div \left[ \frac{3}{4}(136)-\frac{63}{4}\right] \\ \ \\ = 1035 \div \left[ \frac{408}{4}-\frac{63}{4}\right] \\ \ \\ = 1035 \div \left[ \frac{345}{4}\right] \\ \ \\ = 1035 \times \frac{4}{345} \\ \ \\ = 3 \times 4 \\ \ \\ = \bf 12 ​​​​

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