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The value of 30 – (3 × 4 + 15 ÷ 3) + 8 ×\times×​ 3 ÷ 6 is:
Question

The value of 30 – (3 × 4 + 15 ÷ 3) + 8 ×\times​ 3 ÷ 6 is:

A.

15

B.

21

C.

19

D.

17

Correct option is D

Given:

30 – (3 × 4 + 15 ÷ 3) + 8 ×\times​​3 ÷ 6​

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\text{Brackets} &[],{}, () \\ \hline \text{Orders, of} & ^x(power), √ (root) , of \\ \hline \text{Division}& ÷ \\\hline \text{Multiplication} & × \\ \hline \text{Addition} & + \\ \hline \text{Subtraction} & - \\\hline\end{array}

Solution:

​30 – (3 × 4 + 15 ÷ 3) + 8 ×\times​​​3 ÷ 6

= 30 – (3 × 4 + 5) + 8 ×\times​​​​3 ÷ 6

= 30 – 17 + 8 ×\times​​​​​3 ÷ 6

= 30 – 17 + 8 ×\times12\frac 12

= 30 - 17 + 4

= 34 -17 =17

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