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Which two signs should be interchanged to make the below equation mathematically correct? 9 ÷ 3 + 6 – 6 × 2 = 30
Question

Which two signs should be interchanged to make the below equation mathematically correct?
9 ÷ 3 + 6 – 6 × 2 = 30

A.

+ and ÷

B.

× and ÷

C.

+ and -

D.

× and +

Correct option is B

Given: 9 ÷ 3 + 6 – 6 × 2 = 30
Used BODMAS rule.
Operation preference wiseSymbolBrackets[],,()Orders, of(power),(root),ofDivision÷Multiplication×Addition+Subtraction\begin{array}{|c|c|} \hline\textbf{Operation preference wise} & \textbf{Symbol} \\\hline\text{Brackets} &[],{}, () \\ \hline \text{Orders, of} & (power), √ (root) , of \\ \hline \text{Division}& ÷ \\ \hline \text{Multiplication} & × \\ \hline \text{Addition} & + \\ \hline \text{Subtraction} & - \\\hline\end{array}
Now, we check each options.
Option (a): + and ÷
New equation: 9 + 3 ÷ 6 – 6 × 2 = 30
12 ÷ 6 - 6 × 2 = 30
2 - 6 × 2 = 30
- 10 \neq 30​
Option (b): × and ÷
New equation: 9 × 3 + 6 – 6 ÷ 2 = 30
9 × 3 + 6 - 3 = 30
27 + 6 - 3 = 30
33 - 3 = 30
30 = 30
Option (c): + and -
New equation: 9 ÷ 3 - 6 + 6 × 2 = 30
3 - 6 + 6 × 2 = 30
3 - 6 + 12 = 30
\neq 30​
Option (d): × and +
New equation: 9 ÷ 3 × 6 – 6 + 2 = 30
3 × 6 - 6 + 2 = 30
18 - 6 + 2 = 30
14 \neq 30​
Thus, correct option is (b).

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