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Find the value of 36−2(20+12÷4×3−2×2)+1036-2(20+12÷4×3-2×2)+1036−2(20+12÷4×3−2×2)+10​.
Question

Find the value of 362(20+12÷4×32×2)+1036-2(20+12÷4×3-2×2)+10​.

A.

-4

B.

4

C.

3

D.

-3

Correct option is A

Given:

362(20+12÷4×32×2)+1036-2(20+12÷4×3-2×2)+10

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:

362(20+12÷4×32×2)+1036-2(20+12÷4×3-2×2)+10

=362(20+3×32×2)+1036-2(20+3×3-2×2)+10

=362(20+94)+1036-2(20+9-4)+10

=362(294)+1036-2(29-4)+10

=362(25)+1036-2(25)+10

= 36 - 50 + 10

= 46 - 50 = - 4

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