After interchanging which two numbers, the value of the given equation will be ‘37'?

9 × 7 + 4 ÷ 1 - 6

Given: ​9 × 7 + 4 ÷ 1 - 6

​Given equation is solve by BODMAS rule.

$$\begin{array}{|c|c|} \hline\textbf{Operation preference wise} & \textbf{Symbol} \\\hline\text{Brackets} &[],{}, () \\ \hline \text{Orders, of} & (power), √ (root) , of \\ \hline \text{Division}& ÷ \\ \hline \text{Multiplication} & × \\ \hline \text{Addition} & + \\ \hline \text{Subtraction} & - \\\hline\end{array}$$​​

Now, we check each options.

Option (a): 4 and 1

New equation: 9 × 7 + 1 ÷ 4 - 6

Option (b): 9 and 6 

New equation: 6 × 7 + 4 ÷ 1 - 9

​6 × 7 + 4 ÷ 1 - 9 = 37

​​6 × 7 + 4 - 9 = 37

​Option (c): 7 and 6

New equation: 9 × 6 + 4 ÷ 1 - 7

​9 × 6 + 4 - 7 = 37

54 + 4 - 7 = 37

58 - 7 = 37

51$$\neq$$​ 37​

Option (d): 9 and 4

New equation: 4 × 7 + 9 ÷ 1 - 6

​4 × 7 + 9 - 6 = 37

28 + 9 - 6 = 37

37 - 6 = 37

31 $$\neq$$ 37​

Thus, correct option is (b).