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What is the value of 13[216 ÷ 3 of {48 ÷ 24 × (42 - 38)}]?
Question

What is the value of 13[216 ÷ 3 of {48 ÷ 24 × (42 - 38)}]?

A.

143

B.

91

C.

117

D.

130

Correct option is C

Given:

13[216 ÷ 3 of {48 ÷ 24 × (42 - 38)}] 

Concept Used:

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: 

13[216 ÷ 3 of {48 ÷ 24 × (42 - 38)}]  

13[216÷3of48÷24×(4238)]=13[216÷3of48÷24×4]=13[216÷3of2×4]=13[216÷3of8]=13[9]=11713[216 ÷ 3 of {48 ÷ 24 × (42 - 38)}] \\=13[216 ÷ 3 of {48 ÷ 24 × 4}] \\=13[216 ÷ 3 of {2 × 4}] \\=13[216 ÷ 3 of 8] \\=13[9]\\ =117\\​​

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