What will come in the place of the question mark (?) in the following equation, if '+' and '−' are interchanged and '×' and '÷' are interchanged?

105 ÷ 2 + 4 − 120 × 6 = ?

The correct answer is Option 4: 226.

Step-by-Step Explanation:

We are given the mathematical equation:

$105÷2+4-120\times 6=?$

According to the instructions given in the question, we need to swap the operators as follows:

1. Swap '+' and '−' (Replace '+' with '−', and '−' with '+')
2. Swap '×' and '÷' (Replace '×' with '÷', and '÷' with '×')

After interchanging the operators, the new equation becomes:

$105\times 2-4+120÷6=?$

Now, we simplify the expression following the standard order of operations (BODMAS / PEMDAS rule: Division and Multiplication first from left to right, followed by Addition and Subtraction):

Step 1: Perform Division and Multiplication

$105\times 2=210$

$120÷6=20$

Substitute these values back into the equation:

$210-4+20=?$

Step 2: Perform Addition and Subtraction from left to right

$210-4=206$

$206+20=226$

Thus, the value that replaces the question mark (?) is 226.