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Simplify: 10×4−2×(42÷4)÷2÷(12)+910 × 4 - 2 × (4² ÷ 4 ) ÷ 2 ÷ \left(\frac{1}{2}\right) + 910×4−2×(42÷4)÷2÷(21​)+9​​
Question

Simplify: 10×4−2×(42÷4)÷2÷(12)+910 × 4 - 2 × (4² ÷ 4 ) ÷ 2 ÷ \left(\frac{1}{2}\right) + 9​​

A.

40

B.

41

C.

31

D.

35

Correct option is B

Given: 
10×4−2×(42÷4)÷2÷(12)+910 × 4 - 2 × (4² ÷ 4 ) ÷ 2 ÷ \left(\frac{1}{2}\right) + 9
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 \textbf {Brackets} &[],{}, () \\ \hline \textbf {Orders, of} & ² (power), √ (root) , of \\ \hline \textbf {Division} & ÷ \\ \hline \textbf {Multiplication} & × \\ \hline \textbf {Addition} & + \\ \hline \textbf {Subtraction} & - \\ \hline \end{array}    
Solution: 
​10×4−2×(42÷4)÷2÷(12)+9 =10×4−2×(4)÷2÷(12)+9 =10×4−2×(4)×12×(21)+9 =10×4−8+9 =40+1 =4110 × 4 - 2 × (4² ÷ 4 ) ÷ 2 ÷ \left(\frac{1}{2}\right) + 9 \\ \ \\= 10 × 4 - 2 × ( 4 ) ÷ 2 ÷ \left(\frac{1}{2}\right) + 9 \\ \ \\ = 10 × 4 - 2 × ( 4 ) \times\frac{1} 2 \times \left(\frac{2}{1}\right) + 9 \\ \ \\ = 10 × 4 - 8 + 9 \\ \ \\ = 40 +1 \\ \ \\ =\bf 41​​​​

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