What will come in place of ‘?’ in the following equation, if ‘+’ and ‘−‘ are interchanged and ‘×’ and ‘÷’ are interchanged?

$12÷3+32\times 4-5=?+3$

The correct option is 36.

To find the value that replaces the question mark (?), we begin with the original mathematical equation:
$$12÷3+32\times 4-5=?+3$$

According to the problem statement, we must interchange the operators as follows:
1. '+' and '−' are interchanged (i.e., '+' becomes '−' and '−' becomes '+').
2. '×' and '÷' are interchanged (i.e., '×' becomes '÷' and '÷' becomes '×').

Let the unknown value '?' be represented by the variable x. Applying these operator interchanges to the equation, we get:
$$12\times 3-32÷4+5=x-3$$

Now, we solve the left-hand side of the equation by following the BODMAS rules (Brackets, Orders, Division/Multiplication, Addition/Subtraction):

Step 1: Perform the division
Divide 32 by 4:
$$32÷4=8$$
Substitute this back into the equation:
$$12\times 3-8+5=x-3$$

Step 2: Perform the multiplication
Multiply 12 by 3:
$$12\times 3=36$$
Substitute this back into the equation:
$$36-8+5=x-3$$

Step 3: Perform addition and subtraction on the left-hand side
Simplify:
$$36-8=28$$
Then add 5:
$$28+5=33$$
Now the equation is simplified to:
$$33=x-3$$

Step 4: Solve for x
Add 3 to both sides of the equation to isolate x:
$$x=33+3$$
$$x=36$$

Thus, the value that comes in place of '?' is 36.