Select the number that will come in the place of the question mark(?), if ‘+’ and ‘ – ‘ are interchanged and ‘×’ and ‘÷’ are interchanged

11 ÷ 8 – 78 × 6 + 37 = ?

To find the value that comes in place of the question mark (?), we need to modify the given mathematical expression based on the specified interchanges and then apply the standard order of operations (BODMAS/PEMDAS).

The original expression is:
$11÷8-78\times 6+37=?$

We are given the following rules for interchanging the operators:
1. '+' and ' - ' are interchanged. This means '+' becomes '-' and '-' becomes '+'.
2. '×' and '÷' are interchanged. This means '×' becomes '÷' and '÷' becomes '×'.

Let's apply these interchanges to our expression step-by-step:
- The first operator is '÷', which becomes '×'.
- The second operator is ' - ', which becomes '+'.
- The third operator is '×', which becomes '÷'.
- The fourth operator is '+', which becomes ' - '.

Substituting these interchanged operators into the original equation, we get the new expression:
$11\times 8+78÷6-37$

Now, we evaluate this expression using the order of operations, which prioritizes division and multiplication from left to right, followed by addition and subtraction from left to right.

Step 1: Perform the Division
First, we look for division in the expression, which is $78÷6$:
$78÷6=13$
Now substitute this back into the expression:
$11\times 8+13-37$

Step 2: Perform the Multiplication
Next, we perform the multiplication, which is $11\times 8$:
$11\times 8=88$
Substitute this value back into the expression:
$88+13-37$

Step 3: Perform the Addition and Subtraction
Now, perform addition and subtraction from left to right.
First, add $88+13$:
$88+13=101$
Finally, subtract 37 from 101:
$101-37=64$

Therefore, the number that will come in place of the question mark is 64.