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Solve the following.25+[20−{2((20×15)÷18×116−8)}]=25+[20-\lbrace2((20×\frac{1}{5})÷\frac{1}{8}×\frac{1}{16}-8)\rbrace]=25+[20−{2((20×51​)÷81​×161​−8)}
Question

Solve the following.

25+[20{2((20×15)÷18×1168)}]=25+[20-\lbrace2((20×\frac{1}{5})÷\frac{1}{8}×\frac{1}{16}-8)\rbrace]=​ ?​

A.

26

B.

57

C.

27

D.

37

Correct option is B

Given: 

25+[20{2((20×15)÷18×1168)}]25+[20-\lbrace2((20×\frac{1}{5})÷\frac{1}{8}×\frac{1}{16}-8)\rbrace] 

Concept Used: 

Operation preference wiseSymbolBrackets[],,()Orders,ofx(power),(root),ofDivision÷Multiplication×Addition+Subtraction\begin{array}{|c|c|} \hline \textbf{Operation preference wise} & \textbf{Symbol} \\ \hline Brackets &[],{}, () \\ \hline Orders, of & ^x(power), √ (root) , of \\ \hline Division & ÷ \\ \hline Multiplication & × \\ \hline Addition & + \\ \hline Subtraction & - \\ \hline \end{array}  

Solution: 

25+[20{2((20×15)÷18×1168)}] =25+[20{2((4)÷18×1168)}] =25+[20{2((4)×8×1168)}] =25+[20{2((28)}] =25+[20{2(6)}] =25+[20+12] =5725+[20-\lbrace2((20×\frac{1}{5})÷\frac{1}{8}×\frac{1}{16}-8)\rbrace] \\ \ \\ =25+[20-\lbrace2((4)÷\frac{1}{8}×\frac{1}{16}-8)\rbrace] \\ \ \\ = 25+[20-\lbrace2((4)\times {8}×\frac{1}{16}-8)\rbrace]\\ \ \\ = 25+[20-\lbrace2((2-8)\rbrace]\\ \ \\ = 25+[20-\lbrace2(-6)\rbrace]\\ \ \\ = 25+[20+12] \\ \ \\ = 57​​

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