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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÷[4084−634] =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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